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Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric Theory 29 (2013), 609-628 Timothy J. Vogelsang Martin Wagner 1

Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

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Page 1: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Tables with Critical Values for

A Fixed-b Perspective on the Phillips-Perron Unit

Root Tests

published in:

Econometric Theory 29 (2013), 609-628

Timothy J. Vogelsang Martin Wagner

1

Page 2: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

1 One-Step Detrending

2

Page 3: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Bartlett

Kern

el

3

Page 4: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-5.4

531

-5.1

979

-4.9

533

-4.7

312

-4.5

155

-4.3

167

-4.1

275

-3.9

598

-3.7

988

-3.6

477

95%

-7.5

500

-7.0

774

-6.6

585

-6.2

847

-5.9

229

-5.5

985

-5.3

069

-5.0

217

-4.7

747

-4.5

384

97.5

%-9

.631

0-8

.924

7-8

.309

9-7

.719

6-7

.208

2-6

.727

3-6

.267

5-5

.902

1-5

.5612

-5.2

508

99%

-12.

3477

-11.

2769

-10.

2572

-9.3

954

-8.6

686

-7.9

913

-7.4

157

-6.8

692

-6.3

910

-5.9

887

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-3.4

953

-3.3

561

-3.2

284

-3.1

003

-2.9

807

-2.8

691

-2.7

624

-2.6

650

-2.5

764

-2.4

932

95%

-4.3

233

-4.1

214

-3.9

447

-3.7

693

-3.6

071

-3.4

550

-3.3

127

-3.1

820

-3.0

570

-2.9

469

97.5

%-4

.964

7-4

.687

9-4

.460

5-4

.257

5-4

.071

9-3

.894

3-3

.737

6-3

.584

2-3

.4339

-3.3

052

99%

-5.6

319

-5.3

041

-5.0

052

-4.7

461

-4.5

128

-4.3

211

-4.1

328

-3.9

784

-3.8

277

-3.6

866

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.4

197

-2.3

517

-2.2

903

-2.2

339

-2.1

767

-2.1

219

-2.0

708

-2.0

181

-1.9

675

-1.9

169

95%

-2.8

383

-2.7

417

-2.6

475

-2.5

646

-2.4

854

-2.4

161

-2.3

492

-2.2

886

-2.2

298

-2.1

731

97.5

%-3

.179

1-3

.056

3-2

.950

9-2

.851

0-2

.761

3-2

.676

3-2

.603

6-2

.539

0-2

.4794

-2.4

286

99%

-3.5

584

-3.4

384

-3.3

301

-3.2

310

-3.1

424

-3.0

510

-2.9

797

-2.9

114

-2.8

526

-2.7

914

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-1.8

635

-1.8

145

-1.7

658

-1.7

191

-1.6

744

-1.6

309

-1.5

892

-1.5

487

-1.5

115

-1.4

755

95%

-2.1

232

-2.0

740

-2.0

311

-1.9

891

-1.9

472

-1.9

071

-1.8

687

-1.8

331

-1.8

002

-1.7

688

97.5

%-2

.382

1-2

.332

8-2

.291

4-2

.255

8-2

.217

1-2

.181

6-2

.148

4-2

.116

4-2

.0827

-2.0

547

99%

-2.7

506

-2.7

190

-2.6

783

-2.6

468

-2.6

172

-2.5

882

-2.5

662

-2.5

477

-2.5

211

-2.5

000

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-1.4

409

-1.4

083

-1.3

773

-1.3

475

-1.3

186

-1.2

902

-1.2

646

-1.2

406

-1.2

172

-1.1

942

95%

-1.7

329

-1.7

023

-1.6

715

-1.6

401

-1.6

107

-1.5

817

-1.5

551

-1.5

285

-1.5

033

-1.4

778

97.5

%-2

.026

1-1

.999

0-1

.969

0-1

.940

0-1

.912

0-1

.884

1-1

.857

4-1

.831

2-1

.8031

-1.7

780

99%

-2.4

760

-2.4

560

-2.4

385

-2.4

192

-2.3

940

-2.3

737

-2.3

527

-2.3

271

-2.3

021

-2.2

757

Tab

le1:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Bar

tlet

tke

rnel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

4

Page 5: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

6170

-10.

0364

-9.4

787

-8.9

785

-8.5

353

-8.1

227

-7.7

492

-7.3

918

-7.0

743

-6.7

825

95%

-13.

0696

-12.

1809

-11.

3730

-10.

6740

-10.

0261

-9.4

453

-8.9

355

-8.5

184

-8.1

640

-7.8

383

97.5

%-1

5.52

59-1

4.22

79-1

3.13

11-1

2.17

81-1

1.33

39-1

0.68

72-1

0.10

01-9

.619

1-9

.2609

-8.9

555

99%

-18.

6895

-16.

7951

-15.

1993

-13.

8956

-12.

8984

-12.

1327

-11.

5527

-11.

1067

-10.7

990

-10.5

433

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-6.5

296

-6.3

013

-6.0

984

-5.9

270

-5.7

801

-5.6

473

-5.5

351

-5.4

323

-5.3

355

-5.2

462

95%

-7.5

835

-7.3

542

-7.1

735

-7.0

140

-6.8

778

-6.7

483

-6.6

435

-6.5

513

-6.4

681

-6.3

767

97.5

%-8

.713

4-8

.518

1-8

.349

4-8

.201

5-8

.071

5-7

.964

3-7

.867

8-7

.756

4-7

.6700

-7.5

879

99%

-10.

3132

-10.

1060

-9.9

534

-9.7

680

-9.6

553

-9.5

049

-9.3

968

-9.3

365

-9.2

526

-9.1

912

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.1

654

-5.0

876

-5.0

123

-4.9

425

-4.8

726

-4.8

034

-4.7

364

-4.6

681

-4.6

021

-4.5

400

95%

-6.3

082

-6.2

520

-6.1

840

-6.1

163

-6.0

513

-5.9

919

-5.9

308

-5.8

719

-5.8

187

-5.7

562

97.5

%-7

.512

3-7

.440

4-7

.354

1-7

.286

3-7

.230

0-7

.173

7-7

.115

4-7

.048

1-6

.9925

-6.9

310

99%

-9.1

020

-9.0

095

-8.9

504

-8.8

880

-8.8

150

-8.7

574

-8.7

082

-8.6

533

-8.5

989

-8.5

711

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-4.4

839

-4.4

266

-4.3

664

-4.3

023

-4.2

510

-4.1

931

-4.1

349

-4.0

751

-4.0

211

-3.9

721

95%

-5.6

959

-5.6

375

-5.5

781

-5.5

185

-5.4

515

-5.3

991

-5.3

405

-5.2

768

-5.2

225

-5.1

693

97.5

%-6

.872

4-6

.811

4-6

.753

5-6

.695

4-6

.636

2-6

.568

4-6

.513

8-6

.445

5-6

.3911

-6.3

326

99%

-8.5

122

-8.4

415

-8.3

815

-8.3

154

-8.2

369

-8.1

638

-8.0

874

-8.0

218

-7.9

521

-7.8

748

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.9

221

-3.8

773

-3.8

274

-3.7

783

-3.7

330

-3.6

896

-3.6

494

-3.6

093

-3.5

677

-3.5

287

95%

-5.1

108

-5.0

586

-4.9

979

-4.9

396

-4.8

886

-4.8

300

-4.7

748

-4.7

233

-4.6

692

-4.6

256

97.5

%-6

.268

2-6

.203

4-6

.131

5-6

.067

3-6

.004

7-5

.935

6-5

.865

2-5

.799

8-5

.7390

-5.6

856

99%

-7.7

954

-7.7

286

-7.6

446

-7.5

685

-7.4

866

-7.4

165

-7.3

432

-7.2

680

-7.1

893

-7.1

177

Tab

le2:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Bar

tlet

tke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept.

5

Page 6: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

7233

-15.

1698

-13.

8427

-12.

6797

-11.

6618

-10.

7815

-10.

0449

-9.4

200

-8.8

982

-8.4

647

95%

-19.

5080

-17.

3879

-15.

6413

-14.

1950

-12.

9535

-11.

9495

-11.

1629

-10.

5394

-10.0

633

-9.6

458

97.5

%-2

2.08

17-1

9.41

49-1

7.19

92-1

5.50

53-1

4.14

19-1

3.12

72-1

2.36

20-1

1.75

89-1

1.3

145

-10.9

332

99%

-25.

2048

-21.

8554

-19.

1617

-17.

0623

-15.

6388

-14.

6618

-13.

9576

-13.

4235

-12.9

699

-12.5

665

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-8.1

029

-7.7

895

-7.5

126

-7.2

644

-7.0

447

-6.8

347

-6.6

329

-6.4

438

-6.2

603

-6.0

731

95%

-9.3

036

-9.0

153

-8.7

567

-8.5

242

-8.3

169

-8.1

131

-7.9

135

-7.7

253

-7.5

519

-7.3

865

97.5

%-1

0.60

91-1

0.32

71-1

0.06

98-9

.861

1-9

.645

4-9

.423

8-9

.237

5-9

.055

0-8

.8806

-8.6

859

99%

-12.

2442

-11.

9501

-11.

6934

-11.

4673

-11.

2686

-11.

0800

-10.

8626

-10.

6946

-10.5

333

-10.3

542

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.9

093

-5.7

393

-5.5

715

-5.4

051

-5.2

564

-5.1

176

-4.9

786

-4.8

478

-4.7

256

-4.6

059

95%

-7.2

096

-7.0

437

-6.8

702

-6.7

054

-6.5

386

-6.3

796

-6.2

331

-6.0

809

-5.9

380

-5.7

950

97.5

%-8

.506

4-8

.324

6-8

.159

0-7

.988

9-7

.811

4-7

.636

5-7

.473

3-7

.311

9-7

.1469

-7.0

093

99%

-10.

1531

-9.9

648

-9.7

594

-9.5

694

-9.3

689

-9.1

931

-8.9

926

-8.8

140

-8.6

538

-8.4

884

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-4.4

877

-4.3

759

-4.2

695

-4.1

707

-4.0

754

-3.9

929

-3.9

164

-3.8

431

-3.7

695

-3.7

033

95%

-5.6

604

-5.5

414

-5.4

258

-5.3

142

-5.2

038

-5.1

107

-5.0

214

-4.9

317

-4.8

504

-4.7

753

97.5

%-6

.846

4-6

.707

9-6

.570

7-6

.436

9-6

.298

4-6

.177

4-6

.073

4-5

.973

4-5

.8681

-5.7

912

99%

-8.3

133

-8.1

652

-8.0

101

-7.8

660

-7.7

171

-7.5

766

-7.4

564

-7.3

363

-7.2

085

-7.1

033

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.6

441

-3.5

915

-3.5

407

-3.4

962

-3.4

588

-3.4

232

-3.3

926

-3.3

623

-3.3

349

-3.3

106

95%

-4.7

019

-4.6

369

-4.5

717

-4.5

175

-4.4

687

-4.4

288

-4.3

929

-4.3

608

-4.3

332

-4.3

046

97.5

%-5

.703

0-5

.612

5-5

.542

8-5

.487

6-5

.435

7-5

.390

7-5

.349

8-5

.313

1-5

.2840

-5.2

530

99%

-7.0

102

-6.9

223

-6.8

302

-6.7

459

-6.6

800

-6.6

412

-6.5

883

-6.5

453

-6.4

968

-6.4

719

Tab

le3:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Bar

tlet

tker

nel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

6

Page 7: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-1.5

808

-1.5

433

-1.5

078

-1.4

722

-1.4

365

-1.4

050

-1.3

722

-1.3

431

-1.3

150

-1.2

885

95%

-1.8

825

-1.8

239

-1.7

688

-1.7

148

-1.6

690

-1.6

232

-1.5

770

-1.5

356

-1.4

938

-1.4

561

97.5

%-2

.146

9-2

.061

3-1

.990

6-1

.921

8-1

.853

5-1

.790

6-1

.731

4-1

.677

8-1

.6273

-1.5

785

99%

-2.4

402

-2.3

283

-2.2

272

-2.1

334

-2.0

478

-1.9

649

-1.8

876

-1.8

202

-1.7

524

-1.6

972

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-1.2

631

-1.2

373

-1.2

121

-1.1

880

-1.1

648

-1.1

426

-1.1

212

-1.0

989

-1.0

798

-1.0

621

95%

-1.4

215

-1.3

879

-1.3

550

-1.3

240

-1.2

955

-1.2

665

-1.2

406

-1.2

152

-1.1

902

-1.1

680

97.5

%-1

.535

9-1

.493

6-1

.452

6-1

.416

9-1

.383

5-1

.351

0-1

.322

5-1

.293

1-1

.2668

-1.2

395

99%

-1.6

397

-1.5

922

-1.5

453

-1.5

028

-1.4

632

-1.4

266

-1.3

938

-1.3

610

-1.3

319

-1.3

035

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-1.0

443

-1.0

293

-1.0

159

-1.0

024

-0.9

897

-0.9

776

-0.9

653

-0.9

539

-0.9

425

-0.9

303

95%

-1.1

466

-1.1

254

-1.1

044

-1.0

852

-1.0

666

-1.0

499

-1.0

329

-1.0

174

-1.0

028

-0.9

883

97.5

%-1

.215

0-1

.190

9-1

.165

8-1

.143

6-1

.121

3-1

.100

5-1

.080

3-1

.061

8-1

.0445

-1.0

275

99%

-1.2

751

-1.2

479

-1.2

219

-1.1

971

-1.1

740

-1.1

505

-1.1

289

-1.1

088

-1.0

906

-1.0

731

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-0.9

189

-0.9

079

-0.8

960

-0.8

844

-0.8

730

-0.8

626

-0.8

517

-0.8

413

-0.8

308

-0.8

206

95%

-0.9

745

-0.9

613

-0.9

486

-0.9

365

-0.9

246

-0.9

132

-0.9

029

-0.8

918

-0.8

813

-0.8

713

97.5

%-1

.012

3-0

.998

1-0

.984

6-0

.972

8-0

.960

6-0

.949

2-0

.938

7-0

.928

2-0

.9185

-0.9

090

99%

-1.0

567

-1.0

415

-1.0

272

-1.0

152

-1.0

043

-0.9

929

-0.9

831

-0.9

742

-0.9

649

-0.9

574

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.8

105

-0.8

006

-0.7

909

-0.7

818

-0.7

730

-0.7

645

-0.7

564

-0.7

485

-0.7

409

-0.7

337

95%

-0.8

613

-0.8

518

-0.8

424

-0.8

336

-0.8

246

-0.8

159

-0.8

074

-0.7

992

-0.7

912

-0.7

834

97.5

%-0

.899

6-0

.891

0-0

.882

2-0

.874

0-0

.865

3-0

.856

8-0

.848

4-0

.840

3-0

.8320

-0.8

246

99%

-0.9

506

-0.9

434

-0.9

357

-0.9

293

-0.9

217

-0.9

148

-0.9

076

-0.9

001

-0.8

930

-0.8

855

Tab

le4:

Fix

ed-b

crit

ical

valu

esfo

rt-

test

for

Bar

tlet

tke

rnel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

7

Page 8: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

150

-2.4

628

-2.4

143

-2.3

669

-2.3

241

-2.2

850

-2.2

540

-2.2

295

-2.2

124

-2.1

999

95%

-2.7

979

-2.7

308

-2.6

715

-2.6

193

-2.5

788

-2.5

549

-2.5

396

-2.5

299

-2.5

243

-2.5

229

97.5

%-3

.055

0-2

.976

4-2

.913

3-2

.866

7-2

.845

4-2

.832

2-2

.826

1-2

.825

7-2

.8291

-2.8

378

99%

-3.3

335

-3.2

512

-3.1

957

-3.1

739

-3.1

722

-3.1

755

-3.1

867

-3.2

027

-3.2

189

-3.2

412

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.1

891

-2.1

819

-2.1

767

-2.1

734

-2.1

726

-2.1

723

-2.1

726

-2.1

754

-2.1

786

-2.1

816

95%

-2.5

250

-2.5

297

-2.5

348

-2.5

423

-2.5

489

-2.5

622

-2.5

734

-2.5

843

-2.5

991

-2.6

106

97.5

%-2

.850

9-2

.864

0-2

.880

9-2

.899

8-2

.921

2-2

.938

7-2

.963

2-2

.983

8-3

.0084

-3.0

366

99%

-3.2

656

-3.2

955

-3.3

349

-3.3

760

-3.4

178

-3.4

588

-3.4

950

-3.5

303

-3.5

661

-3.6

028

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

846

-2.1

891

-2.1

961

-2.2

010

-2.2

090

-2.2

139

-2.2

208

-2.2

275

-2.2

327

-2.2

385

95%

-2.6

227

-2.6

375

-2.6

515

-2.6

631

-2.6

806

-2.6

936

-2.7

114

-2.7

288

-2.7

449

-2.7

605

97.5

%-3

.062

3-3

.085

4-3

.111

6-3

.132

3-3

.158

2-3

.188

2-3

.219

6-3

.240

7-3

.2685

-3.2

965

99%

-3.6

510

-3.6

885

-3.7

358

-3.7

756

-3.8

340

-3.8

751

-3.9

068

-3.9

522

-3.9

940

-4.0

451

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

451

-2.2

538

-2.2

620

-2.2

698

-2.2

756

-2.2

831

-2.2

909

-2.2

986

-2.3

070

-2.3

140

95%

-2.7

757

-2.7

900

-2.8

055

-2.8

223

-2.8

387

-2.8

553

-2.8

720

-2.8

883

-2.9

006

-2.9

195

97.5

%-3

.323

8-3

.349

9-3

.381

0-3

.408

6-3

.434

7-3

.456

2-3

.478

6-3

.506

7-3

.5291

-3.5

490

99%

-4.0

933

-4.1

310

-4.1

811

-4.2

231

-4.2

705

-4.2

981

-4.3

319

-4.3

675

-4.4

069

-4.4

500

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.3

216

-2.3

301

-2.3

382

-2.3

470

-2.3

550

-2.3

637

-2.3

719

-2.3

810

-2.3

906

-2.4

004

95%

-2.9

356

-2.9

510

-2.9

661

-2.9

860

-3.0

033

-3.0

212

-3.0

395

-3.0

569

-3.0

749

-3.0

924

97.5

%-3

.577

0-3

.604

3-3

.626

9-3

.652

5-3

.686

1-3

.716

8-3

.746

4-3

.769

4-3

.7962

-3.8

240

99%

-4.4

899

-4.5

276

-4.5

605

-4.6

097

-4.6

431

-4.6

825

-4.7

232

-4.7

574

-4.8

002

-4.8

386

Tab

le5:

Fix

ed-b

crit

ical

valu

esfo

rt-

test

for

Bar

tlet

tke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept.

8

Page 9: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

240

-2.8

993

-2.7

913

-2.6

917

-2.6

014

-2.5

303

-2.4

750

-2.4

326

-2.3

965

-2.3

676

95%

-3.2

801

-3.1

298

-3.0

021

-2.9

001

-2.8

245

-2.7

728

-2.7

326

-2.7

028

-2.6

785

-2.6

608

97.5

%-3

.497

9-3

.327

4-3

.195

9-3

.105

4-3

.049

7-3

.006

5-2

.981

4-2

.963

7-2

.9498

-2.9

420

99%

-3.7

573

-3.5

739

-3.4

571

-3.3

880

-3.3

446

-3.3

190

-3.3

051

-3.3

010

-3.3

030

-3.3

114

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.3

429

-2.3

223

-2.3

024

-2.2

866

-2.2

742

-2.2

638

-2.2

546

-2.2

454

-2.2

365

-2.2

287

95%

-2.6

480

-2.6

382

-2.6

318

-2.6

253

-2.6

223

-2.6

218

-2.6

218

-2.6

209

-2.6

236

-2.6

251

97.5

%-2

.940

2-2

.938

1-2

.941

6-2

.947

8-2

.956

1-2

.960

1-2

.968

4-2

.983

8-2

.9925

-3.0

101

99%

-3.3

257

-3.3

383

-3.3

480

-3.3

653

-3.3

828

-3.4

025

-3.4

194

-3.4

454

-3.4

735

-3.5

019

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.2

235

-2.2

183

-2.2

126

-2.2

087

-2.2

060

-2.2

045

-2.2

038

-2.2

039

-2.2

048

-2.2

069

95%

-2.6

282

-2.6

324

-2.6

390

-2.6

457

-2.6

532

-2.6

599

-2.6

657

-2.6

742

-2.6

861

-2.6

971

97.5

%-3

.021

4-3

.038

6-3

.055

3-3

.073

9-3

.092

3-3

.112

3-3

.128

1-3

.158

4-3

.1762

-3.1

963

99%

-3.5

399

-3.5

698

-3.6

080

-3.6

454

-3.6

807

-3.7

216

-3.7

512

-3.7

832

-3.8

183

-3.8

494

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

088

-2.2

121

-2.2

141

-2.2

189

-2.2

218

-2.2

269

-2.2

343

-2.2

410

-2.2

467

-2.2

549

95%

-2.7

101

-2.7

255

-2.7

411

-2.7

542

-2.7

702

-2.7

866

-2.8

055

-2.8

235

-2.8

393

-2.8

579

97.5

%-3

.220

8-3

.246

1-3

.273

9-3

.304

5-3

.330

9-3

.358

4-3

.384

6-3

.417

1-3

.4446

-3.4

764

99%

-3.8

901

-3.9

183

-3.9

569

-4.0

057

-4.0

384

-4.0

745

-4.1

197

-4.1

545

-4.1

957

-4.2

478

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.2

624

-2.2

698

-2.2

790

-2.2

876

-2.2

974

-2.3

062

-2.3

169

-2.3

252

-2.3

337

-2.3

425

95%

-2.8

794

-2.8

976

-2.9

168

-2.9

356

-2.9

524

-2.9

714

-2.9

887

-3.0

070

-3.0

244

-3.0

406

97.5

%-3

.499

5-3

.533

3-3

.565

0-3

.598

0-3

.628

7-3

.656

2-3

.684

4-3

.709

2-3

.7337

-3.7

583

99%

-4.2

989

-4.3

483

-4.3

977

-4.4

363

-4.4

838

-4.5

261

-4.5

695

-4.6

073

-4.6

485

-4.6

822

Tab

le6:

Fix

ed-b

crit

ical

valu

esfo

rt-

test

for

Bar

tlet

tke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

9

Page 10: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Bohman

Kern

el

10

Page 11: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-5.5

107

-5.2

798

-5.0

771

-4.8

812

-4.7

084

-4.5

384

-4.3

763

-4.2

175

-4.0

631

-3.9

253

95%

-7.6

475

-7.2

620

-6.9

011

-6.5

700

-6.2

758

-5.9

872

-5.7

248

-5.4

776

-5.2

272

-5.0

046

97.5

%-9

.791

9-9

.183

0-8

.672

8-8

.194

1-7

.728

2-7

.301

5-6

.906

1-6

.538

9-6

.1914

-5.9

141

99%

-12.

5654

-11.

6880

-10.

8349

-10.

0747

-9.4

265

-8.8

253

-8.2

988

-7.7

785

-7.3

357

-6.9

438

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-3.7

843

-3.6

532

-3.5

253

-3.4

093

-3.2

942

-3.1

778

-3.0

753

-2.9

724

-2.8

786

-2.7

895

95%

-4.7

852

-4.5

939

-4.4

092

-4.2

347

-4.0

817

-3.9

417

-3.7

985

-3.6

663

-3.5

417

-3.4

231

97.5

%-5

.633

1-5

.373

7-5

.142

0-4

.927

0-4

.731

2-4

.553

1-4

.376

2-4

.210

4-4

.0651

-3.9

318

99%

-6.5

655

-6.2

392

-5.9

513

-5.6

637

-5.3

990

-5.1

698

-4.9

454

-4.7

555

-4.5

897

-4.4

307

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.7

042

-2.6

228

-2.5

477

-2.4

783

-2.4

157

-2.3

556

-2.3

011

-2.2

502

-2.2

024

-2.1

576

95%

-3.3

149

-3.2

069

-3.1

028

-3.0

119

-2.9

227

-2.8

385

-2.7

617

-2.6

941

-2.6

253

-2.5

630

97.5

%-3

.799

8-3

.676

5-3

.561

5-3

.456

6-3

.346

1-3

.246

0-3

.152

6-3

.064

5-2

.9857

-2.9

072

99%

-4.2

986

-4.1

521

-4.0

366

-3.9

187

-3.8

014

-3.6

938

-3.6

024

-3.5

042

-3.4

116

-3.3

319

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.1

131

-2.0

684

-2.0

269

-1.9

853

-1.9

428

-1.9

026

-1.8

637

-1.8

242

-1.7

852

-1.7

480

95%

-2.5

087

-2.4

552

-2.4

026

-2.3

552

-2.3

090

-2.2

652

-2.2

219

-2.1

787

-2.1

389

-2.0

978

97.5

%-2

.834

7-2

.763

3-2

.701

2-2

.641

6-2

.592

0-2

.542

5-2

.494

9-2

.454

4-2

.4146

-2.3

745

99%

-3.2

563

-3.1

860

-3.1

240

-3.0

612

-3.0

007

-2.9

476

-2.9

044

-2.8

696

-2.8

309

-2.7

998

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-1.7

112

-1.6

743

-1.6

385

-1.6

030

-1.5

680

-1.5

335

-1.4

993

-1.4

661

-1.4

362

-1.4

032

95%

-2.0

591

-2.0

208

-1.9

847

-1.9

491

-1.9

116

-1.8

788

-1.8

475

-1.8

167

-1.7

880

-1.7

603

97.5

%-2

.334

9-2

.303

1-2

.278

5-2

.249

4-2

.217

8-2

.190

0-2

.163

6-2

.137

9-2

.1173

-2.0

947

99%

-2.7

639

-2.7

331

-2.7

175

-2.6

955

-2.6

740

-2.6

510

-2.6

315

-2.6

109

-2.6

001

-2.5

800

Tab

le7:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Boh

man

kern

el(O

ne-

step

det

ren

din

g).

No

det

erm

inis

tic

com

pon

ents

.

11

Page 12: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

7500

-10.

2645

-9.7

744

-9.3

597

-8.9

645

-8.5

907

-8.2

432

-7.9

329

-7.6

388

-7.3

610

95%

-13.

2722

-12.

5226

-11.

8497

-11.

2372

-10.

6508

-10.

1482

-9.6

629

-9.2

264

-8.8

508

-8.5

314

97.5

%-1

5.77

96-1

4.73

85-1

3.80

37-1

2.92

62-1

2.20

33-1

1.54

27-1

0.95

43-1

0.45

65-1

0.0

269

-9.6

444

99%

-18.

9977

-17.

5210

-16.

1680

-14.

9837

-13.

9650

-13.

1296

-12.

4746

-11.

9472

-11.5

215

-11.1

738

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-7.0

993

-6.8

688

-6.6

584

-6.4

539

-6.2

722

-6.1

115

-5.9

686

-5.8

377

-5.7

163

-5.6

123

95%

-8.2

368

-7.9

781

-7.7

278

-7.5

316

-7.3

626

-7.2

006

-7.0

655

-6.9

361

-6.8

107

-6.7

027

97.5

%-9

.341

6-9

.087

0-8

.851

7-8

.660

1-8

.480

9-8

.338

6-8

.185

4-8

.067

0-7

.9710

-7.8

664

99%

-10.

8763

-10.

6173

-10.

4244

-10.

2277

-10.

0736

-9.9

238

-9.8

035

-9.6

921

-9.5

633

-9.4

403

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.5

093

-5.4

205

-5.3

311

-5.2

499

-5.1

779

-5.1

105

-5.0

438

-4.9

766

-4.9

139

-4.8

570

95%

-6.6

137

-6.5

304

-6.4

477

-6.3

813

-6.3

088

-6.2

442

-6.1

793

-6.1

225

-6.0

718

-6.0

224

97.5

%-7

.782

6-7

.709

5-7

.630

5-7

.568

8-7

.504

1-7

.445

8-7

.383

6-7

.316

1-7

.2614

-7.2

150

99%

-9.3

595

-9.2

927

-9.2

173

-9.1

439

-9.0

921

-9.0

549

-8.9

945

-8.9

372

-8.8

856

-8.8

565

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-4.8

010

-4.7

432

-4.6

899

-4.6

354

-4.5

826

-4.5

279

-4.4

767

-4.4

233

-4.3

729

-4.3

231

95%

-5.9

762

-5.9

280

-5.8

819

-5.8

359

-5.7

929

-5.7

479

-5.7

060

-5.6

542

-5.6

031

-5.5

583

97.5

%-7

.169

6-7

.114

7-7

.061

3-7

.013

6-6

.971

5-6

.913

8-6

.871

1-6

.830

7-6

.7862

-6.7

423

99%

-8.8

006

-8.7

646

-8.7

100

-8.6

672

-8.6

345

-8.5

794

-8.5

442

-8.5

064

-8.4

663

-8.4

148

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-4.2

788

-4.2

303

-4.1

825

-4.1

359

-4.0

901

-4.0

428

-3.9

955

-3.9

519

-3.9

063

-3.8

656

95%

-5.5

112

-5.4

622

-5.4

163

-5.3

744

-5.3

206

-5.2

719

-5.2

226

-5.1

761

-5.1

254

-5.0

802

97.5

%-6

.691

3-6

.652

2-6

.599

1-6

.551

6-6

.505

7-6

.465

9-6

.411

8-6

.361

6-6

.3109

-6.2

639

99%

-8.3

531

-8.3

038

-8.2

644

-8.2

136

-8.1

664

-8.1

137

-8.0

654

-8.0

075

-7.9

499

-7.8

929

Tab

le8:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Boh

man

kern

el(O

ne-

step

det

ren

din

g).

Inte

rcep

t.

12

Page 13: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-17.

0479

-15.

7428

-14.

5980

-13.

5730

-12.

6398

-11.

8179

-11.

0843

-10.

4498

-9.9

029

-9.4

136

95%

-19.

9776

-18.

2321

-16.

6488

-15.

3269

-14.

1756

-13.

2054

-12.

3669

-11.

6585

-11.0

590

-10.5

562

97.5

%-2

2.73

65-2

0.44

38-1

8.50

50-1

6.86

73-1

5.54

05-1

4.43

91-1

3.54

56-1

2.82

05-1

2.2

064

-11.7

397

99%

-26.

0929

-23.

0710

-20.

7054

-18.

7562

-17.

1672

-15.

9241

-15.

0357

-14.

3508

-13.8

014

-13.3

186

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-8.9

787

-8.6

019

-8.2

690

-7.9

704

-7.7

149

-7.4

767

-7.2

532

-7.0

502

-6.8

600

-6.6

865

95%

-10.

1279

-9.7

694

-9.4

446

-9.1

572

-8.9

003

-8.6

801

-8.4

747

-8.2

825

-8.1

163

-7.9

457

97.5

%-1

1.32

06-1

0.96

45-1

0.66

36-1

0.40

84-1

0.19

59-9

.967

7-9

.776

7-9

.610

1-9

.4445

-9.2

763

99%

-12.

9432

-12.

6151

-12.

3004

-12.

0506

-11.

8146

-11.

6048

-11.

4176

-11.

2445

-11.1

117

-10.9

551

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-6.5

165

-6.3

499

-6.1

963

-6.0

449

-5.8

887

-5.7

344

-5.5

942

-5.4

459

-5.3

048

-5.1

723

95%

-7.7

863

-7.6

311

-7.4

927

-7.3

539

-7.2

121

-7.0

639

-6.9

263

-6.7

887

-6.6

536

-6.5

165

97.5

%-9

.120

5-8

.976

3-8

.831

3-8

.694

4-8

.546

1-8

.406

4-8

.262

7-8

.119

4-7

.9722

-7.8

378

99%

-10.

7948

-10.

6460

-10.

5076

-10.

3875

-10.

2536

-10.

0989

-9.9

653

-9.8

164

-9.6

729

-9.5

352

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.0

417

-4.9

163

-4.7

939

-4.6

704

-4.5

547

-4.4

413

-4.3

357

-4.2

299

-4.1

322

-4.0

431

95%

-6.3

774

-6.2

409

-6.1

168

-5.9

913

-5.8

614

-5.7

416

-5.6

229

-5.5

076

-5.3

945

-5.2

872

97.5

%-7

.692

4-7

.552

6-7

.410

8-7

.275

8-7

.136

2-7

.002

4-6

.867

2-6

.737

2-6

.6208

-6.4

895

99%

-9.3

956

-9.2

477

-9.0

879

-8.9

269

-8.7

828

-8.6

259

-8.4

692

-8.3

240

-8.1

810

-8.0

302

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.9

521

-3.8

663

-3.7

874

-3.7

082

-3.6

307

-3.5

581

-3.4

837

-3.4

111

-3.3

529

-3.2

963

95%

-5.1

769

-5.0

832

-4.9

783

-4.8

797

-4.7

942

-4.7

086

-4.6

274

-4.5

512

-4.4

818

-4.4

124

97.5

%-6

.370

3-6

.268

6-6

.156

8-6

.045

2-5

.947

1-5

.850

0-5

.755

1-5

.670

8-5

.5804

-5.5

051

99%

-7.8

809

-7.7

602

-7.6

142

-7.4

950

-7.3

760

-7.2

521

-7.1

299

-7.0

182

-6.9

296

-6.8

424

Tab

le9:

Fix

ed-b

crit

ical

valu

esfo

rco

effici

ent

test

for

Boh

man

ker

nel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

13

Page 14: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-1.5

881

-1.5

566

-1.5

269

-1.4

973

-1.4

676

-1.4

398

-1.4

131

-1.3

863

-1.3

602

-1.3

366

95%

-1.8

946

-1.8

478

-1.7

965

-1.7

553

-1.7

115

-1.6

751

-1.6

386

-1.6

001

-1.5

647

-1.5

310

97.5

%-2

.164

0-2

.094

0-2

.032

5-1

.977

4-1

.920

7-1

.867

6-1

.816

4-1

.763

0-1

.7184

-1.6

790

99%

-2.4

624

-2.3

749

-2.2

864

-2.2

098

-2.1

348

-2.0

650

-2.0

037

-1.9

389

-1.8

814

-1.8

259

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-1.3

129

-1.2

892

-1.2

673

-1.2

461

-1.2

243

-1.2

028

-1.1

821

-1.1

625

-1.1

438

-1.1

253

95%

-1.4

981

-1.4

651

-1.4

349

-1.4

070

-1.3

790

-1.3

528

-1.3

276

-1.3

036

-1.2

801

-1.2

574

97.5

%-1

.637

2-1

.599

0-1

.562

0-1

.527

6-1

.494

6-1

.461

8-1

.431

1-1

.404

0-1

.3780

-1.3

525

99%

-1.7

767

-1.7

271

-1.6

841

-1.6

409

-1.6

017

-1.5

649

-1.5

318

-1.5

013

-1.4

724

-1.4

450

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-1.1

068

-1.0

890

-1.0

718

-1.0

559

-1.0

406

-1.0

266

-1.0

142

-1.0

016

-0.9

899

-0.9

790

95%

-1.2

342

-1.2

141

-1.1

936

-1.1

743

-1.1

560

-1.1

384

-1.1

211

-1.1

045

-1.0

904

-1.0

769

97.5

%-1

.328

3-1

.306

1-1

.285

0-1

.263

5-1

.243

7-1

.224

2-1

.205

5-1

.186

2-1

.1687

-1.1

519

99%

-1.4

169

-1.3

911

-1.3

670

-1.3

452

-1.3

245

-1.3

037

-1.2

832

-1.2

613

-1.2

419

-1.2

231

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-0.9

689

-0.9

589

-0.9

488

-0.9

394

-0.9

305

-0.9

214

-0.9

118

-0.9

020

-0.8

926

-0.8

828

95%

-1.0

632

-1.0

504

-1.0

379

-1.0

260

-1.0

148

-1.0

047

-0.9

942

-0.9

845

-0.9

741

-0.9

643

97.5

%-1

.134

4-1

.119

1-1

.103

0-1

.088

1-1

.074

0-1

.060

8-1

.047

9-1

.035

7-1

.0239

-1.0

129

99%

-1.2

037

-1.1

839

-1.1

659

-1.1

497

-1.1

327

-1.1

179

-1.1

041

-1.0

905

-1.0

760

-1.0

649

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.8

730

-0.8

632

-0.8

535

-0.8

444

-0.8

355

-0.8

256

-0.8

168

-0.8

072

-0.7

979

-0.7

889

95%

-0.9

546

-0.9

454

-0.9

357

-0.9

266

-0.9

172

-0.9

084

-0.8

992

-0.8

902

-0.8

816

-0.8

732

97.5

%-1

.002

8-0

.992

8-0

.983

6-0

.974

3-0

.965

4-0

.956

7-0

.948

1-0

.941

1-0

.9335

-0.9

258

99%

-1.0

541

-1.0

426

-1.0

328

-1.0

228

-1.0

146

-1.0

065

-0.9

993

-0.9

929

-0.9

871

-0.9

814

Tab

le10

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

ohm

anke

rnel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

14

Page 15: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

244

-2.4

849

-2.4

430

-2.4

056

-2.3

680

-2.3

343

-2.3

026

-2.2

736

-2.2

513

-2.2

330

95%

-2.8

131

-2.7

573

-2.7

102

-2.6

644

-2.6

232

-2.5

914

-2.5

679

-2.5

517

-2.5

437

-2.5

376

97.5

%-3

.073

3-3

.005

6-2

.950

8-2

.905

3-2

.874

1-2

.856

5-2

.844

0-2

.838

8-2

.8358

-2.8

431

99%

-3.3

565

-3.2

847

-3.2

275

-3.1

924

-3.1

801

-3.1

816

-3.1

825

-3.1

985

-3.2

101

-3.2

289

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.2

177

-2.2

087

-2.2

000

-2.1

930

-2.1

896

-2.1

879

-2.1

866

-2.1

887

-2.1

910

-2.1

939

95%

-2.5

364

-2.5

377

-2.5

394

-2.5

474

-2.5

532

-2.5

607

-2.5

737

-2.5

859

-2.5

991

-2.6

135

97.5

%-2

.850

5-2

.863

4-2

.879

5-2

.898

3-2

.919

4-2

.940

3-2

.963

8-2

.988

2-3

.0176

-3.0

512

99%

-3.2

539

-3.2

842

-3.3

176

-3.3

619

-3.4

040

-3.4

575

-3.5

084

-3.5

655

-3.6

209

-3.6

797

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

970

-2.2

033

-2.2

102

-2.2

175

-2.2

255

-2.2

345

-2.2

440

-2.2

562

-2.2

676

-2.2

792

95%

-2.6

289

-2.6

495

-2.6

693

-2.6

884

-2.7

103

-2.7

348

-2.7

604

-2.7

868

-2.8

123

-2.8

439

97.5

%-3

.085

0-3

.121

0-3

.156

0-3

.193

2-3

.237

1-3

.283

2-3

.325

3-3

.380

2-3

.4341

-3.4

942

99%

-3.7

470

-3.8

309

-3.9

154

-3.9

869

-4.0

757

-4.1

700

-4.2

652

-4.3

548

-4.4

572

-4.5

623

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

919

-2.3

044

-2.3

188

-2.3

337

-2.3

469

-2.3

609

-2.3

757

-2.3

925

-2.4

081

-2.4

282

95%

-2.8

739

-2.9

074

-2.9

350

-2.9

689

-3.0

005

-3.0

343

-3.0

689

-3.1

064

-3.1

408

-3.1

767

97.5

%-3

.545

3-3

.595

6-3

.652

4-3

.717

0-3

.779

3-3

.847

6-3

.929

1-3

.998

1-4

.0690

-4.1

431

99%

-4.6

643

-4.7

679

-4.8

723

-4.9

776

-5.1

013

-5.2

214

-5.3

525

-5.4

952

-5.6

054

-5.7

268

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.4

438

-2.4

632

-2.4

844

-2.5

037

-2.5

248

-2.5

443

-2.5

652

-2.5

872

-2.6

096

-2.6

311

95%

-3.2

185

-3.2

581

-3.3

054

-3.3

514

-3.4

001

-3.4

476

-3.4

962

-3.5

459

-3.5

900

-3.6

372

97.5

%-4

.209

3-4

.288

8-4

.376

0-4

.454

8-4

.537

0-4

.617

2-4

.701

6-4

.790

2-4

.8671

-4.9

492

99%

-5.8

460

-5.9

719

-6.1

088

-6.2

473

-6.3

928

-6.5

515

-6.6

877

-6.8

237

-6.9

561

-7.1

153

Tab

le11

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

ohm

anke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept.

15

Page 16: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

494

-2.9

453

-2.8

550

-2.7

667

-2.6

884

-2.6

177

-2.5

562

-2.5

054

-2.4

624

-2.4

273

95%

-3.3

107

-3.1

883

-3.0

758

-2.9

796

-2.9

018

-2.8

384

-2.7

890

-2.7

517

-2.7

227

-2.7

005

97.5

%-3

.535

5-3

.394

7-3

.270

0-3

.178

3-3

.104

6-3

.058

8-3

.022

0-2

.996

6-2

.9784

-2.9

668

99%

-3.8

079

-3.6

466

-3.5

258

-3.4

391

-3.3

829

-3.3

496

-3.3

286

-3.3

128

-3.3

137

-3.3

216

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.3

984

-2.3

727

-2.3

516

-2.3

320

-2.3

163

-2.3

029

-2.2

921

-2.2

839

-2.2

783

-2.2

725

95%

-2.6

831

-2.6

704

-2.6

589

-2.6

516

-2.6

493

-2.6

477

-2.6

481

-2.6

511

-2.6

562

-2.6

606

97.5

%-2

.958

1-2

.954

1-2

.956

2-2

.962

4-2

.969

3-2

.980

3-2

.995

5-3

.012

2-3

.0350

-3.0

571

99%

-3.3

325

-3.3

467

-3.3

603

-3.3

796

-3.4

013

-3.4

328

-3.4

669

-3.5

066

-3.5

551

-3.5

899

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.2

706

-2.2

678

-2.2

680

-2.2

675

-2.2

689

-2.2

701

-2.2

745

-2.2

808

-2.2

876

-2.2

975

95%

-2.6

716

-2.6

827

-2.6

953

-2.7

118

-2.7

280

-2.7

424

-2.7

639

-2.7

864

-2.8

135

-2.8

399

97.5

%-3

.082

3-3

.108

6-3

.137

2-3

.170

1-3

.208

8-3

.245

4-3

.289

7-3

.333

5-3

.3826

-3.4

395

99%

-3.6

460

-3.7

037

-3.7

549

-3.8

237

-3.9

010

-3.9

795

-4.0

783

-4.1

757

-4.2

755

-4.3

777

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.3

089

-2.3

198

-2.3

316

-2.3

476

-2.3

634

-2.3

795

-2.4

013

-2.4

219

-2.4

422

-2.4

668

95%

-2.8

683

-2.8

981

-2.9

330

-2.9

690

-3.0

066

-3.0

488

-3.0

885

-3.1

393

-3.1

856

-3.2

356

97.5

%-3

.490

1-3

.556

1-3

.619

8-3

.685

1-3

.763

3-3

.834

0-3

.896

3-3

.971

7-4

.0502

-4.1

386

99%

-4.4

856

-4.5

905

-4.7

122

-4.8

392

-4.9

657

-5.1

163

-5.2

368

-5.3

858

-5.5

223

-5.6

370

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.4

900

-2.5

149

-2.5

433

-2.5

750

-2.6

081

-2.6

406

-2.6

762

-2.7

132

-2.7

509

-2.7

922

95%

-3.2

812

-3.3

329

-3.3

836

-3.4

409

-3.4

978

-3.5

618

-3.6

242

-3.6

931

-3.7

644

-3.8

399

97.5

%-4

.220

6-4

.307

0-4

.400

5-4

.495

1-4

.591

3-4

.685

2-4

.786

2-4

.887

4-4

.9894

-5.0

864

99%

-5.7

832

-5.9

241

-6.0

542

-6.1

876

-6.3

449

-6.4

768

-6.6

181

-6.7

586

-6.9

165

-7.0

862

Tab

le12

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

ohm

anke

rnel

(One-

step

det

ren

din

g).

Inte

rcep

tan

dli

nea

rtr

end

.

16

Page 17: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Daniell

Kern

el

17

Page 18: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-5.4

483

-5.1

694

-4.9

278

-4.6

990

-4.4

713

-4.2

319

-4.0

320

-3.8

482

-3.6

662

-3.4

958

95%

-7.5

807

-7.1

369

-6.7

233

-6.3

356

-5.9

635

-5.6

342

-5.3

345

-5.0

539

-4.7

756

-4.5

376

97.5

%-9

.719

8-9

.041

7-8

.500

7-7

.906

3-7

.351

1-6

.933

5-6

.547

8-6

.126

8-5

.8142

-5.4

873

99%

-12.

4836

-11.

5361

-10.

5922

-9.8

572

-9.1

089

-8.5

208

-7.9

407

-7.4

419

-7.0

180

-6.6

122

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-3.3

329

-3.1

775

-3.0

341

-2.9

078

-2.7

921

-2.6

934

-2.6

008

-2.5

128

-2.4

331

-2.3

568

95%

-4.3

193

-4.1

377

-3.9

498

-3.7

803

-3.6

143

-3.4

461

-3.2

860

-3.1

431

-3.0

191

-2.8

945

97.5

%-5

.212

8-4

.956

0-4

.735

8-4

.524

1-4

.307

1-4

.090

1-3

.891

5-3

.699

4-3

.5123

-3.3

395

99%

-6.2

556

-5.9

048

-5.5

836

-5.2

766

-5.0

205

-4.7

796

-4.5

459

-4.3

316

-4.1

177

-3.9

195

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.2

859

-2.2

125

-2.1

424

-2.0

663

-1.9

968

-1.9

177

-1.8

410

-1.7

693

-1.7

005

-1.6

357

95%

-2.7

934

-2.6

936

-2.5

961

-2.5

094

-2.4

280

-2.3

519

-2.2

726

-2.2

047

-2.1

410

-2.0

753

97.5

%-3

.195

1-3

.053

8-2

.943

4-2

.844

1-2

.764

4-2

.688

3-2

.622

4-2

.564

3-2

.5121

-2.4

634

99%

-3.7

272

-3.5

666

-3.4

205

-3.3

102

-3.2

184

-3.1

656

-3.0

962

-3.0

457

-2.9

941

-2.9

571

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-1.5

727

-1.5

138

-1.4

573

-1.4

042

-1.3

544

-1.3

078

-1.2

625

-1.2

236

-1.1

866

-1.1

481

95%

-2.0

185

-1.9

664

-1.9

144

-1.8

664

-1.8

168

-1.7

679

-1.7

192

-1.6

720

-1.6

273

-1.5

855

97.5

%-2

.409

8-2

.356

3-2

.309

6-2

.260

1-2

.214

7-2

.168

6-2

.124

0-2

.077

0-2

.0348

-1.9

920

99%

-2.9

071

-2.8

727

-2.8

335

-2.7

955

-2.7

589

-2.7

248

-2.6

838

-2.6

435

-2.6

015

-2.5

675

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-1.1

109

-1.0

766

-1.0

431

-1.0

133

-0.9

829

-0.9

539

-0.9

260

-0.8

993

-0.8

738

-0.8

489

95%

-1.5

444

-1.5

060

-1.4

661

-1.4

303

-1.3

942

-1.3

598

-1.3

273

-1.2

946

-1.2

633

-1.2

320

97.5

%-1

.951

2-1

.912

2-1

.873

4-1

.837

9-1

.800

0-1

.762

5-1

.727

0-1

.693

8-1

.6602

-1.6

274

99%

-2.5

366

-2.5

004

-2.4

652

-2.4

350

-2.4

015

-2.3

726

-2.3

409

-2.3

129

-2.2

885

-2.2

599

Tab

le13

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rD

anie

llker

nel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

18

Page 19: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

6580

-10.

0630

-9.5

282

-9.0

062

-8.5

269

-8.1

457

-7.7

768

-7.4

317

-7.1

191

-6.8

509

95%

-13.

1601

-12.

3729

-11.

5664

-10.

8343

-10.

2110

-9.6

739

-9.2

685

-8.8

470

-8.4

808

-8.1

512

97.5

%-1

5.70

46-1

4.50

47-1

3.43

00-1

2.58

68-1

1.80

42-1

1.17

96-1

0.61

59-1

0.14

83-9

.7452

-9.4

096

99%

-18.

9448

-17.

2787

-15.

8302

-14.

7069

-13.

8145

-12.

9525

-12.

3305

-11.

8076

-11.3

313

-10.9

701

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-6.6

033

-6.3

719

-6.1

361

-5.9

195

-5.7

522

-5.6

093

-5.5

027

-5.4

196

-5.3

503

-5.2

701

95%

-7.8

604

-7.5

754

-7.2

957

-7.0

573

-6.8

687

-6.7

470

-6.6

502

-6.5

911

-6.5

715

-6.5

409

97.5

%-9

.079

8-8

.751

8-8

.462

8-8

.238

7-8

.084

1-7

.976

8-7

.921

7-7

.864

7-7

.8224

-7.7

838

99%

-10.

7482

-10.

4599

-10.

1753

-9.9

211

-9.7

080

-9.5

896

-9.5

591

-9.4

927

-9.4

849

-9.4

765

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.1

894

-5.1

139

-5.0

217

-4.9

250

-4.8

205

-4.7

246

-4.6

235

-4.5

272

-4.4

337

-4.3

362

95%

-6.4

860

-6.4

377

-6.3

720

-6.3

006

-6.2

124

-6.1

469

-6.0

482

-5.9

607

-5.8

684

-5.7

584

97.5

%-7

.735

6-7

.695

4-7

.648

5-7

.606

8-7

.549

4-7

.476

3-7

.395

3-7

.309

7-7

.2197

-7.1

262

99%

-9.4

849

-9.4

606

-9.4

388

-9.4

205

-9.3

810

-9.3

305

-9.2

675

-9.1

768

-9.0

937

-8.9

865

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-4.2

456

-4.1

505

-4.0

694

-3.9

892

-3.9

088

-3.8

294

-3.7

595

-3.6

883

-3.6

144

-3.5

508

95%

-5.6

541

-5.5

554

-5.4

574

-5.3

602

-5.2

568

-5.1

614

-5.0

633

-4.9

724

-4.8

881

-4.8

073

97.5

%-7

.019

2-6

.905

7-6

.781

1-6

.666

2-6

.548

4-6

.443

7-6

.337

0-6

.234

5-6

.1223

-6.0

148

99%

-8.8

641

-8.7

282

-8.6

076

-8.4

800

-8.3

716

-8.2

368

-8.0

901

-7.9

739

-7.8

484

-7.7

207

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.4

907

-3.4

272

-3.3

680

-3.3

098

-3.2

603

-3.2

129

-3.1

645

-3.1

225

-3.0

785

-3.0

389

95%

-4.7

258

-4.6

526

-4.5

786

-4.5

137

-4.4

450

-4.3

768

-4.3

154

-4.2

490

-4.1

889

-4.1

317

97.5

%-5

.915

7-5

.820

9-5

.720

3-5

.629

4-5

.551

4-5

.479

9-5

.403

5-5

.332

6-5

.2648

-5.1

924

99%

-7.5

850

-7.4

637

-7.3

486

-7.2

313

-7.1

228

-7.0

115

-6.8

981

-6.8

078

-6.7

092

-6.6

149

Tab

le14

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rD

anie

llker

nel

(On

e-st

epd

etre

nd

ing).

Inte

rcep

t.

19

Page 20: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

7893

-15.

3125

-14.

0223

-12.

8512

-11.

8888

-11.

0642

-10.

3758

-9.7

246

-9.2

103

-8.7

240

95%

-19.

7695

-17.

7701

-16.

0937

-14.

7185

-13.

5215

-12.

6048

-11.

8383

-11.

0998

-10.5

331

-9.9

941

97.5

%-2

2.48

85-1

9.98

16-1

7.99

91-1

6.35

76-1

5.04

26-1

4.04

45-1

3.18

17-1

2.42

76-1

1.8

471

-11.2

673

99%

-25.

7781

-22.

8205

-20.

3904

-18.

4218

-17.

0285

-15.

8061

-14.

8939

-14.

0938

-13.6

308

-13.0

875

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-8.2

722

-7.8

956

-7.6

222

-7.4

042

-7.1

807

-6.9

254

-6.6

283

-6.3

057

-5.9

678

-5.6

440

95%

-9.4

851

-9.0

974

-8.8

839

-8.7

684

-8.6

377

-8.4

621

-8.2

418

-7.9

584

-7.6

529

-7.3

010

97.5

%-1

0.70

31-1

0.34

88-1

0.20

74-1

0.14

98-1

0.09

60-9

.968

8-9

.781

8-9

.530

8-9

.2496

-8.9

092

99%

-12.

4736

-12.

0865

-11.

9666

-11.

9751

-12.

0174

-11.

9539

-11.

8192

-11.

5833

-11.2

914

-10.9

195

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.3

383

-5.0

487

-4.7

775

-4.5

163

-4.2

841

-4.0

689

-3.8

781

-3.7

006

-3.5

483

-3.4

026

95%

-6.9

640

-6.6

156

-6.2

820

-5.9

738

-5.6

742

-5.4

109

-5.1

701

-4.9

469

-4.7

551

-4.5

807

97.5

%-8

.519

8-8

.138

0-7

.761

2-7

.401

9-7

.043

6-6

.738

1-6

.450

9-6

.203

8-5

.9657

-5.7

468

99%

-10.

4800

-10.

0525

-9.6

108

-9.1

925

-8.7

934

-8.4

157

-8.0

754

-7.7

555

-7.4

283

-7.1

702

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-3.2

765

-3.1

681

-3.0

753

-2.9

900

-2.9

185

-2.8

478

-2.7

912

-2.7

332

-2.6

837

-2.6

380

95%

-4.4

300

-4.2

967

-4.1

783

-4.0

684

-3.9

750

-3.8

882

-3.8

150

-3.7

475

-3.6

914

-3.6

400

97.5

%-5

.566

6-5

.401

0-5

.263

7-5

.126

3-5

.001

6-4

.894

9-4

.797

3-4

.713

4-4

.6368

-4.5

780

99%

-6.9

505

-6.7

690

-6.6

065

-6.4

469

-6.2

960

-6.1

744

-6.0

674

-5.9

644

-5.8

825

-5.8

137

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-2.5

995

-2.5

618

-2.5

294

-2.5

025

-2.4

793

-2.4

554

-2.4

319

-2.4

120

-2.3

957

-2.3

792

95%

-3.5

928

-3.5

507

-3.5

094

-3.4

744

-3.4

482

-3.4

216

-3.4

002

-3.3

793

-3.3

521

-3.3

307

97.5

%-4

.522

2-4

.471

9-4

.434

8-4

.397

4-4

.356

3-4

.321

3-4

.295

0-4

.268

5-4

.2472

-4.2

304

99%

-5.7

428

-5.6

794

-5.6

330

-5.5

829

-5.5

444

-5.4

973

-5.4

648

-5.4

332

-5.3

938

-5.3

653

Tab

le15

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rD

anie

llker

nel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

20

Page 21: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-1.5

796

-1.5

423

-1.5

002

-1.4

656

-1.4

260

-1.3

907

-1.3

565

-1.3

252

-1.2

952

-1.2

615

95%

-1.8

862

-1.8

293

-1.7

723

-1.7

271

-1.6

731

-1.6

230

-1.5

803

-1.5

356

-1.4

920

-1.4

507

97.5

%-2

.152

5-2

.074

1-2

.009

6-1

.941

4-1

.873

7-1

.819

3-1

.762

7-1

.707

8-1

.6535

-1.6

064

99%

-2.4

525

-2.3

657

-2.2

671

-2.1

800

-2.0

981

-2.0

236

-1.9

514

-1.8

848

-1.8

248

-1.7

745

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-1.2

310

-1.2

006

-1.1

735

-1.1

459

-1.1

219

-1.1

009

-1.0

799

-1.0

624

-1.0

454

-1.0

297

95%

-1.4

138

-1.3

818

-1.3

515

-1.3

207

-1.2

915

-1.2

621

-1.2

313

-1.2

027

-1.1

748

-1.1

487

97.5

%-1

.562

2-1

.524

8-1

.487

7-1

.452

1-1

.418

3-1

.382

4-1

.347

8-1

.311

0-1

.2747

-1.2

387

99%

-1.7

257

-1.6

743

-1.6

234

-1.5

772

-1.5

332

-1.4

942

-1.4

539

-1.4

139

-1.3

727

-1.3

306

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-1.0

132

-0.9

959

-0.9

800

-0.9

627

-0.9

447

-0.9

267

-0.9

091

-0.8

906

-0.8

734

-0.8

554

95%

-1.1

256

-1.1

042

-1.0

839

-1.0

643

-1.0

434

-1.0

256

-1.0

064

-0.9

893

-0.9

721

-0.9

552

97.5

%-1

.205

9-1

.175

6-1

.148

6-1

.125

0-1

.104

2-1

.083

8-1

.066

0-1

.049

1-1

.0331

-1.0

193

99%

-1.2

921

-1.2

545

-1.2

180

-1.1

880

-1.1

623

-1.1

390

-1.1

206

-1.1

055

-1.0

932

-1.0

816

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-0.8

380

-0.8

218

-0.8

058

-0.7

906

-0.7

749

-0.7

602

-0.7

461

-0.7

324

-0.7

190

-0.7

061

95%

-0.9

397

-0.9

243

-0.9

086

-0.8

938

-0.8

799

-0.8

667

-0.8

533

-0.8

405

-0.8

283

-0.8

157

97.5

%-1

.005

8-0

.993

0-0

.979

5-0

.967

0-0

.954

0-0

.942

0-0

.929

4-0

.916

8-0

.9045

-0.8

918

99%

-1.0

701

-1.0

578

-1.0

460

-1.0

354

-1.0

242

-1.0

134

-1.0

028

-0.9

919

-0.9

816

-0.9

704

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.6

941

-0.6

821

-0.6

709

-0.6

598

-0.6

490

-0.6

388

-0.6

286

-0.6

188

-0.6

094

-0.5

999

95%

-0.8

033

-0.7

921

-0.7

804

-0.7

687

-0.7

571

-0.7

461

-0.7

354

-0.7

249

-0.7

148

-0.7

051

97.5

%-0

.879

6-0

.867

3-0

.855

6-0

.844

0-0

.832

1-0

.821

0-0

.810

7-0

.799

9-0

.7891

-0.7

795

99%

-0.9

599

-0.9

502

-0.9

397

-0.9

296

-0.9

197

-0.9

107

-0.9

010

-0.8

923

-0.8

835

-0.8

743

Tab

le16

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rD

anie

llke

rnel

(One-

step

det

ren

din

g).

No

det

erm

inis

tic

com

pon

ents

.

21

Page 22: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-2.5

209

-2.4

743

-2.4

287

-2.3

842

-2.3

440

-2.3

126

-2.2

895

-2.2

649

-2.2

488

-2.2

387

95%

-2.8

066

-2.7

512

-2.6

960

-2.6

540

-2.6

237

-2.5

960

-2.5

834

-2.5

806

-2.5

808

-2.5

937

97.5

%-3

.066

2-3

.000

1-2

.942

6-2

.903

5-2

.887

3-2

.877

4-2

.880

2-2

.896

7-2

.9262

-2.9

677

99%

-3.3

537

-3.2

746

-3.2

343

-3.2

197

-3.2

244

-3.2

480

-3.2

795

-3.3

357

-3.4

122

-3.5

040

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-2.2

333

-2.2

285

-2.2

286

-2.2

321

-2.2

456

-2.2

584

-2.2

776

-2.2

995

-2.3

234

-2.3

467

95%

-2.6

077

-2.6

274

-2.6

483

-2.6

833

-2.7

167

-2.7

608

-2.8

105

-2.8

666

-2.9

205

-2.9

772

97.5

%-3

.015

1-3

.059

9-3

.116

0-3

.175

0-3

.241

4-3

.337

1-3

.444

7-3

.545

6-3

.6517

-3.7

833

99%

-3.6

114

-3.7

271

-3.8

832

-4.0

157

-4.1

681

-4.3

595

-4.5

572

-4.8

242

-5.0

598

-5.3

226

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-2.3

724

-2.3

980

-2.4

291

-2.4

651

-2.4

945

-2.5

285

-2.5

614

-2.5

969

-2.6

349

-2.6

715

95%

-3.0

317

-3.0

915

-3.1

713

-3.2

479

-3.3

292

-3.4

122

-3.4

987

-3.5

943

-3.6

876

-3.7

873

97.5

%-3

.924

6-4

.071

0-4

.222

3-4

.378

7-4

.523

2-4

.687

4-4

.837

8-5

.004

2-5

.1686

-5.3

365

99%

-5.6

284

-5.9

119

-6.2

186

-6.5

183

-6.8

266

-7.0

966

-7.3

733

-7.6

705

-7.9

776

-8.2

852

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-2.7

126

-2.7

568

-2.8

039

-2.8

507

-2.8

970

-2.9

430

-3.0

000

-3.0

500

-3.1

062

-3.1

681

95%

-3.8

812

-3.9

843

-4.0

954

-4.1

975

-4.3

103

-4.4

261

-4.5

464

-4.6

657

-4.7

878

-4.9

043

97.5

%-5

.498

9-5

.687

0-5

.885

8-6

.075

5-6

.255

0-6

.453

1-6

.639

2-6

.830

4-7

.0367

-7.2

346

99%

-8.5

845

-8.9

068

-9.2

180

-9.4

983

-9.8

329

-10.

1580

-10.

5418

-10.

8821

-11.2

109

-11.5

377

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.2

264

-3.2

881

-3.3

530

-3.4

170

-3.4

871

-3.5

590

-3.6

263

-3.6

981

-3.7

718

-3.8

456

95%

-5.0

150

-5.1

463

-5.2

676

-5.3

937

-5.5

243

-5.6

503

-5.7

867

-5.9

073

-6.0

540

-6.1

873

97.5

%-7

.442

9-7

.634

0-7

.841

4-8

.040

4-8

.259

7-8

.483

4-8

.685

4-8

.903

3-9

.1193

-9.3

216

99%

-11.

8111

-12.

0885

-12.

5223

-12.

8341

-13.

1929

-13.

5156

-13.

8922

-14.

2521

-14.5

772

-14.8

766

Tab

le17

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rD

anie

llke

rnel

(One-

step

det

ren

din

g).

Inte

rcep

t.

22

Page 23: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-3.0

336

-2.9

161

-2.8

094

-2.7

148

-2.6

357

-2.5

675

-2.5

100

-2.4

575

-2.4

179

-2.3

845

95%

-3.2

960

-3.1

545

-3.0

377

-2.9

400

-2.8

629

-2.8

100

-2.7

649

-2.7

318

-2.7

193

-2.7

083

97.5

%-3

.523

7-3

.363

7-3

.243

8-3

.149

2-3

.080

0-3

.040

7-3

.021

1-3

.000

5-3

.0123

-3.0

256

99%

-3.7

817

-3.6

190

-3.5

064

-3.4

245

-3.3

766

-3.3

561

-3.3

707

-3.3

940

-3.4

256

-3.4

892

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-2.3

573

-2.3

422

-2.3

403

-2.3

484

-2.3

572

-2.3

678

-2.3

784

-2.3

909

-2.4

064

-2.4

266

95%

-2.6

968

-2.7

026

-2.7

251

-2.7

596

-2.7

938

-2.8

352

-2.8

737

-2.9

110

-2.9

615

-3.0

240

97.5

%-3

.045

5-3

.079

3-3

.128

1-3

.190

3-3

.276

0-3

.351

0-3

.451

1-3

.549

1-3

.6649

-3.7

925

99%

-3.5

436

-3.6

153

-3.7

293

-3.8

958

-4.0

792

-4.2

838

-4.4

911

-4.7

487

-5.0

179

-5.3

025

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-2.4

491

-2.4

795

-2.5

124

-2.5

526

-2.6

046

-2.6

631

-2.7

334

-2.8

128

-2.8

996

-2.9

934

95%

-3.0

898

-3.1

621

-3.2

457

-3.3

524

-3.4

612

-3.6

024

-3.7

444

-3.9

003

-4.0

637

-4.2

447

97.5

%-3

.935

1-4

.091

8-4

.252

1-4

.428

9-4

.626

8-4

.827

3-5

.069

3-5

.304

7-5

.5658

-5.8

266

99%

-5.5

892

-5.8

586

-6.1

436

-6.4

349

-6.7

602

-7.0

997

-7.4

670

-7.8

610

-8.2

615

-8.7

004

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-3.0

989

-3.2

120

-3.3

286

-3.4

599

-3.5

949

-3.7

383

-3.8

884

-4.0

536

-4.2

183

-4.3

923

95%

-4.4

284

-4.6

141

-4.8

168

-5.0

308

-5.2

500

-5.4

761

-5.7

106

-5.9

667

-6.2

276

-6.5

030

97.5

%-6

.091

6-6

.371

4-6

.681

1-7

.015

1-7

.326

8-7

.665

2-8

.017

1-8

.385

5-8

.7772

-9.1

555

99%

-9.1

832

-9.5

832

-10.

0940

-10.

5547

-11.

0284

-11.

5831

-12.

1035

-12.

5872

-13.1

757

-13.7

808

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-4.5

724

-4.7

601

-4.9

493

-5.1

445

-5.3

449

-5.5

522

-5.7

671

-5.9

871

-6.2

142

-6.4

489

95%

-6.7

776

-7.0

626

-7.3

735

-7.6

878

-7.9

971

-8.3

272

-8.6

582

-9.0

056

-9.3

478

-9.7

038

97.5

%-9

.555

1-9

.986

8-1

0.40

72-1

0.82

55-1

1.30

23-1

1.75

38-1

2.20

19-1

2.70

95-1

3.2

263

-13.7

223

99%

-14.

3764

-14.

9803

-15.

5980

-16.

2409

-16.

9002

-17.

5950

-18.

2947

-19.

0322

-19.7

759

-20.5

791

Tab

le18

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rD

anie

llke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

23

Page 24: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Parzen

Kern

el

24

Page 25: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-5.5

250

-5.3

060

-5.1

268

-4.9

418

-4.7

711

-4.6

145

-4.4

582

-4.3

160

-4.1

653

-4.0

301

95%

-7.6

782

-7.3

164

-6.9

832

-6.6

577

-6.3

821

-6.1

086

-5.8

591

-5.6

121

-5.3

957

-5.1

768

97.5

%-9

.825

9-9

.262

6-8

.773

3-8

.330

5-7

.907

1-7

.489

6-7

.111

4-6

.748

8-6

.4160

-6.1

215

99%

-12.

6467

-11.

8238

-11.

0375

-10.

2975

-9.6

393

-9.0

942

-8.5

703

-8.0

833

-7.6

284

-7.2

393

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-3.9

028

-3.7

736

-3.6

529

-3.5

349

-3.4

266

-3.3

193

-3.2

113

-3.1

112

-3.0

211

-2.9

280

95%

-4.9

685

-4.7

717

-4.5

882

-4.4

198

-4.2

602

-4.1

124

-3.9

807

-3.8

479

-3.7

228

-3.6

022

97.5

%-5

.860

8-5

.602

6-5

.363

8-5

.151

2-4

.946

5-4

.764

5-4

.592

6-4

.432

2-4

.2792

-4.1

349

99%

-6.8

632

-6.5

286

-6.2

189

-5.9

592

-5.6

877

-5.4

469

-5.2

160

-5.0

139

-4.8

278

-4.6

641

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.8

430

-2.7

626

-2.6

849

-2.6

125

-2.5

429

-2.4

800

-2.4

213

-2.3

646

-2.3

123

-2.2

651

95%

-3.4

926

-3.3

841

-3.2

867

-3.1

867

-3.0

935

-3.0

066

-2.9

259

-2.8

485

-2.7

757

-2.7

110

97.5

%-4

.005

4-3

.881

9-3

.763

9-3

.649

7-3

.544

2-3

.445

3-3

.344

2-3

.253

0-3

.1687

-3.0

884

99%

-4.5

170

-4.3

745

-4.2

516

-4.1

201

-4.0

112

-3.9

012

-3.8

013

-3.6

954

-3.6

023

-3.5

246

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

201

-2.1

771

-2.1

357

-2.0

955

-2.0

560

-2.0

178

-1.9

790

-1.9

412

-1.9

036

-1.8

661

95%

-2.6

471

-2.5

875

-2.5

342

-2.4

853

-2.4

361

-2.3

892

-2.3

460

-2.3

040

-2.2

633

-2.2

228

97.5

%-3

.008

0-2

.936

6-2

.869

7-2

.801

3-2

.740

2-2

.682

1-2

.630

1-2

.583

8-2

.5388

-2.4

960

99%

-3.4

333

-3.3

589

-3.2

897

-3.2

206

-3.1

582

-3.1

032

-3.0

458

-2.9

915

-2.9

398

-2.9

035

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-1.8

300

-1.7

951

-1.7

613

-1.7

276

-1.6

933

-1.6

603

-1.6

274

-1.5

968

-1.5

645

-1.5

329

95%

-2.1

831

-2.1

473

-2.1

110

-2.0

715

-2.0

391

-2.0

049

-1.9

723

-1.9

395

-1.9

065

-1.8

755

97.5

%-2

.458

1-2

.421

9-2

.381

6-2

.347

0-2

.317

0-2

.285

3-2

.264

3-2

.236

0-2

.2084

-2.1

827

99%

-2.8

695

-2.8

343

-2.8

014

-2.7

712

-2.7

385

-2.7

176

-2.7

045

-2.6

883

-2.6

628

-2.6

406

Tab

le19

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

25

Page 26: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

7964

-10.

3348

-9.8

835

-9.4

830

-9.1

101

-8.7

571

-8.4

241

-8.1

178

-7.8

280

-7.5

685

95%

-13.

3421

-12.

6423

-11.

9914

-11.

4224

-10.

8726

-10.

3619

-9.9

125

-9.4

734

-9.0

962

-8.7

657

97.5

%-1

5.87

28-1

4.89

20-1

4.00

33-1

3.17

12-1

2.45

13-1

1.81

76-1

1.22

92-1

0.74

99-1

0.3

179

-9.9

322

99%

-19.

0982

-17.

7149

-16.

4533

-15.

3187

-14.

3014

-13.

4426

-12.

7887

-12.

2498

-11.7

844

-11.4

140

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-7.3

132

-7.0

781

-6.8

638

-6.6

668

-6.4

791

-6.3

064

-6.1

562

-6.0

122

-5.8

902

-5.7

757

95%

-8.4

751

-8.2

040

-7.9

661

-7.7

381

-7.5

516

-7.3

952

-7.2

466

-7.1

048

-6.9

865

-6.8

679

97.5

%-9

.583

0-9

.314

2-9

.074

2-8

.855

8-8

.672

9-8

.512

3-8

.370

4-8

.239

9-8

.1134

-8.0

173

99%

-11.

1083

-10.

8532

-10.

6046

-10.

4356

-10.

2366

-10.

1044

-9.9

465

-9.8

329

-9.7

488

-9.6

310

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.6

724

-5.5

743

-5.4

860

-5.4

019

-5.3

219

-5.2

485

-5.1

796

-5.1

175

-5.0

540

-4.9

909

95%

-6.7

594

-6.6

706

-6.5

856

-6.5

114

-6.4

365

-6.3

765

-6.3

131

-6.2

510

-6.1

903

-6.1

334

97.5

%-7

.923

3-7

.836

8-7

.755

2-7

.691

5-7

.623

5-7

.568

6-7

.511

9-7

.453

3-7

.3944

-7.3

413

99%

-9.5

150

-9.4

139

-9.3

471

-9.2

729

-9.2

031

-9.1

393

-9.0

952

-9.0

391

-8.9

973

-8.9

433

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-4.9

335

-4.8

784

-4.8

273

-4.7

751

-4.7

198

-4.6

728

-4.6

229

-4.5

732

-4.5

216

-4.4

744

95%

-6.0

843

-6.0

389

-5.9

928

-5.9

492

-5.9

066

-5.8

680

-5.8

224

-5.7

778

-5.7

326

-5.6

938

97.5

%-7

.277

4-7

.228

0-7

.185

8-7

.144

2-7

.087

4-7

.042

1-6

.998

7-6

.958

4-6

.9035

-6.8

614

99%

-8.8

936

-8.8

489

-8.8

093

-8.7

723

-8.7

351

-8.6

946

-8.6

529

-8.6

126

-8.5

752

-8.5

320

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-4.4

265

-4.3

796

-4.3

342

-4.2

922

-4.2

510

-4.2

023

-4.1

602

-4.1

179

-4.0

770

-4.0

357

95%

-5.6

534

-5.6

080

-5.5

607

-5.5

152

-5.4

762

-5.4

305

-5.3

910

-5.3

469

-5.2

987

-5.2

537

97.5

%-6

.822

2-6

.777

9-6

.733

9-6

.695

7-6

.647

1-6

.614

9-6

.576

2-6

.538

1-6

.4925

-6.4

478

99%

-8.5

026

-8.4

604

-8.4

210

-8.3

657

-8.3

141

-8.2

702

-8.2

293

-8.1

802

-8.1

370

-8.0

842

Tab

le20

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing).

Inte

rcep

t.

26

Page 27: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-17.

1489

-15.

9203

-14.

8452

-13.

8743

-12.

9683

-12.

1798

-11.

4508

-10.

8181

-10.2

629

-9.7

702

95%

-20.

1036

-18.

4746

-16.

9869

-15.

7063

-14.

5926

-13.

6070

-12.

7789

-12.

0615

-11.4

378

-10.9

159

97.5

%-2

2.88

86-2

0.75

42-1

8.90

23-1

7.33

34-1

6.01

57-1

4.91

17-1

3.97

24-1

3.22

24-1

2.5

977

-12.0

772

99%

-26.

3514

-23.

4719

-21.

2179

-19.

2901

-17.

7291

-16.

4158

-15.

4616

-14.

7247

-14.1

395

-13.6

678

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-9.3

345

-8.9

366

-8.5

920

-8.2

844

-7.9

989

-7.7

607

-7.5

388

-7.3

263

-7.1

321

-6.9

524

95%

-10.

4674

-10.

0875

-9.7

550

-9.4

600

-9.1

860

-8.9

482

-8.7

365

-8.5

392

-8.3

654

-8.2

004

97.5

%-1

1.65

83-1

1.27

69-1

0.95

15-1

0.67

27-1

0.43

20-1

0.22

57-1

0.02

29-9

.849

4-9

.6755

-9.5

296

99%

-13.

2420

-12.

9004

-12.

6005

-12.

3096

-12.

0692

-11.

8454

-11.

6568

-11.

4506

-11.3

144

-11.1

623

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-6.7

803

-6.6

218

-6.4

695

-6.3

196

-6.1

762

-6.0

330

-5.8

944

-5.7

520

-5.6

195

-5.4

857

95%

-8.0

368

-7.8

895

-7.7

411

-7.5

995

-7.4

697

-7.3

390

-7.2

095

-7.0

779

-6.9

447

-6.8

166

97.5

%-9

.367

6-9

.221

0-9

.074

3-8

.944

3-8

.807

0-8

.683

8-8

.545

6-8

.413

3-8

.2836

-8.1

538

99%

-11.

0370

-10.

9022

-10.

7366

-10.

6151

-10.

4819

-10.

3637

-10.

2344

-10.

0986

-9.9

738

-9.8

325

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.3

602

-5.2

310

-5.1

061

-4.9

924

-4.8

824

-4.7

692

-4.6

569

-4.5

517

-4.4

501

-4.3

526

95%

-6.6

909

-6.5

603

-6.4

412

-6.3

175

-6.2

001

-6.0

840

-5.9

649

-5.8

529

-5.7

444

-5.6

314

97.5

%-8

.017

0-7

.888

0-7

.757

3-7

.626

0-7

.500

6-7

.373

6-7

.243

6-7

.125

2-6

.9956

-6.8

860

99%

-9.7

147

-9.5

769

-9.4

511

-9.3

185

-9.1

818

-9.0

363

-8.8

991

-8.7

564

-8.6

117

-8.4

799

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-4.2

570

-4.1

639

-4.0

815

-3.9

997

-3.9

206

-3.8

447

-3.7

740

-3.7

035

-3.6

313

-3.5

665

95%

-5.5

270

-5.4

301

-5.3

310

-5.2

339

-5.1

403

-5.0

493

-4.9

590

-4.8

681

-4.7

910

-4.7

150

97.5

%-6

.760

3-6

.642

9-6

.539

3-6

.431

5-6

.333

4-6

.232

4-6

.134

9-6

.027

0-5

.9422

-5.8

487

99%

-8.3

476

-8.2

141

-8.0

782

-7.9

433

-7.8

132

-7.7

064

-7.5

836

-7.4

739

-7.3

592

-7.2

576

Tab

le21

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

27

Page 28: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-1.5

907

-1.5

611

-1.5

351

-1.5

065

-1.4

790

-1.4

514

-1.4

277

-1.4

023

-1.3

783

-1.3

549

95%

-1.8

982

-1.8

552

-1.8

078

-1.7

671

-1.7

276

-1.6

920

-1.6

563

-1.6

234

-1.5

889

-1.5

563

97.5

%-2

.167

3-2

.100

8-2

.046

1-1

.994

0-1

.940

6-1

.890

5-1

.841

6-1

.794

8-1

.7487

-1.7

085

99%

-2.4

739

-2.3

909

-2.3

063

-2.2

320

-2.1

610

-2.0

952

-2.0

338

-1.9

770

-1.9

176

-1.8

653

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-1.3

326

-1.3

110

-1.2

895

-1.2

695

-1.2

486

-1.2

285

-1.2

097

-1.1

904

-1.1

717

-1.1

540

95%

-1.5

259

-1.4

959

-1.4

651

-1.4

373

-1.4

106

-1.3

846

-1.3

607

-1.3

360

-1.3

132

-1.2

920

97.5

%-1

.670

1-1

.632

2-1

.597

7-1

.563

5-1

.530

7-1

.500

4-1

.470

2-1

.441

3-1

.4148

-1.3

903

99%

-1.8

184

-1.7

700

-1.7

249

-1.6

853

-1.6

461

-1.6

078

-1.5

731

-1.5

426

-1.5

131

-1.4

851

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-1.1

370

-1.1

198

-1.1

028

-1.0

867

-1.0

709

-1.0

563

-1.0

426

-1.0

295

-1.0

172

-1.0

055

95%

-1.2

707

-1.2

494

-1.2

292

-1.2

109

-1.1

919

-1.1

737

-1.1

569

-1.1

405

-1.1

243

-1.1

095

97.5

%-1

.367

4-1

.344

2-1

.321

7-1

.301

2-1

.281

2-1

.262

7-1

.243

7-1

.225

6-1

.2081

-1.1

910

99%

-1.4

588

-1.4

337

-1.4

090

-1.3

852

-1.3

629

-1.3

420

-1.3

239

-1.3

045

-1.2

856

-1.2

666

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-0.9

947

-0.9

838

-0.9

744

-0.9

651

-0.9

554

-0.9

467

-0.9

382

-0.9

295

-0.9

214

-0.9

126

95%

-1.0

951

-1.0

819

-1.0

690

-1.0

569

-1.0

454

-1.0

345

-1.0

234

-1.0

134

-1.0

038

-0.9

945

97.5

%-1

.174

2-1

.157

9-1

.142

4-1

.126

9-1

.113

0-1

.098

8-1

.085

3-1

.072

4-1

.0600

-1.0

479

99%

-1.2

472

-1.2

301

-1.2

122

-1.1

947

-1.1

774

-1.1

603

-1.1

457

-1.1

306

-1.1

160

-1.1

041

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.9

037

-0.8

948

-0.8

859

-0.8

771

-0.8

685

-0.8

596

-0.8

511

-0.8

425

-0.8

341

-0.8

255

95%

-0.9

851

-0.9

760

-0.9

670

-0.9

583

-0.9

495

-0.9

409

-0.9

322

-0.9

243

-0.9

155

-0.9

077

97.5

%-1

.036

6-1

.026

6-1

.015

9-1

.006

3-0

.997

4-0

.988

4-0

.980

1-0

.971

5-0

.9633

-0.9

555

99%

-1.0

913

-1.0

792

-1.0

674

-1.0

576

-1.0

477

-1.0

371

-1.0

284

-1.0

202

-1.0

119

-1.0

046

Tab

le22

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing)

.N

od

eter

min

isti

cco

mp

on

ents

.

28

Page 29: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

280

-2.4

897

-2.4

511

-2.4

177

-2.3

803

-2.3

483

-2.3

191

-2.2

908

-2.2

655

-2.2

461

95%

-2.8

178

-2.7

655

-2.7

197

-2.6

776

-2.6

360

-2.6

037

-2.5

788

-2.5

598

-2.5

475

-2.5

423

97.5

%-3

.077

5-3

.014

9-2

.962

7-2

.917

9-2

.885

1-2

.863

7-2

.850

3-2

.840

2-2

.8375

-2.8

361

99%

-3.3

616

-3.2

952

-3.2

382

-3.2

012

-3.1

822

-3.1

785

-3.1

826

-3.1

868

-3.2

016

-3.2

116

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.2

300

-2.2

164

-2.2

081

-2.1

999

-2.1

932

-2.1

901

-2.1

883

-2.1

876

-2.1

868

-2.1

889

95%

-2.5

370

-2.5

360

-2.5

359

-2.5

386

-2.5

451

-2.5

504

-2.5

577

-2.5

662

-2.5

794

-2.5

912

97.5

%-2

.842

8-2

.851

2-2

.862

1-2

.877

7-2

.895

0-2

.914

5-2

.931

6-2

.953

0-2

.9743

-2.9

974

99%

-3.2

314

-3.2

557

-3.2

823

-3.3

115

-3.3

506

-3.3

898

-3.4

374

-3.4

848

-3.5

356

-3.5

852

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

911

-2.1

935

-2.1

967

-2.2

029

-2.2

093

-2.2

160

-2.2

228

-2.2

308

-2.2

406

-2.2

512

95%

-2.6

050

-2.6

190

-2.6

314

-2.6

500

-2.6

688

-2.6

857

-2.7

071

-2.7

281

-2.7

491

-2.7

736

97.5

%-3

.027

6-3

.058

7-3

.089

5-3

.125

2-3

.155

6-3

.187

2-3

.227

0-3

.267

4-3

.3129

-3.3

566

99%

-3.6

350

-3.6

893

-3.7

522

-3.8

277

-3.9

031

-3.9

789

-4.0

564

-4.1

395

-4.2

273

-4.3

141

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

617

-2.2

715

-2.2

834

-2.2

948

-2.3

057

-2.3

201

-2.3

328

-2.3

459

-2.3

587

-2.3

724

95%

-2.7

965

-2.8

248

-2.8

530

-2.8

791

-2.9

102

-2.9

383

-2.9

657

-2.9

940

-3.0

269

-3.0

590

97.5

%-3

.403

0-3

.457

5-3

.502

9-3

.553

9-3

.601

7-3

.657

7-3

.717

6-3

.779

0-3

.8385

-3.9

065

99%

-4.4

033

-4.4

955

-4.5

927

-4.6

996

-4.7

938

-4.8

974

-4.9

932

-5.1

098

-5.2

137

-5.3

263

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.3

864

-2.4

012

-2.4

188

-2.4

359

-2.4

506

-2.4

685

-2.4

887

-2.5

072

-2.5

256

-2.5

422

95%

-3.0

889

-3.1

240

-3.1

596

-3.1

937

-3.2

333

-3.2

728

-3.3

109

-3.3

545

-3.4

036

-3.4

485

97.5

%-3

.975

2-4

.043

1-4

.108

6-4

.176

3-4

.234

7-4

.314

6-4

.392

4-4

.469

8-4

.5402

-4.6

159

99%

-5.4

436

-5.5

602

-5.6

589

-5.7

807

-5.8

892

-6.0

047

-6.1

332

-6.2

514

-6.3

887

-6.5

275

Tab

le23

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept.

29

Page 30: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

572

-2.9

603

-2.8

737

-2.7

920

-2.7

168

-2.6

479

-2.5

864

-2.5

344

-2.4

908

-2.4

525

95%

-3.3

190

-3.2

051

-3.0

983

-3.0

079

-2.9

303

-2.8

643

-2.8

124

-2.7

738

-2.7

430

-2.7

169

97.5

%-3

.545

5-3

.415

2-3

.294

1-3

.204

0-3

.128

7-3

.075

2-3

.039

9-3

.010

5-2

.9922

-2.9

745

99%

-3.8

204

-3.6

695

-3.5

465

-3.4

581

-3.4

004

-3.3

631

-3.3

394

-3.3

207

-3.3

121

-3.3

161

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.4

216

-2.3

958

-2.3

720

-2.3

525

-2.3

343

-2.3

189

-2.3

065

-2.2

958

-2.2

864

-2.2

800

95%

-2.6

980

-2.6

821

-2.6

697

-2.6

591

-2.6

525

-2.6

490

-2.6

471

-2.6

470

-2.6

474

-2.6

524

97.5

%-2

.964

1-2

.955

9-2

.953

2-2

.956

2-2

.959

2-2

.967

5-2

.973

5-2

.989

0-3

.0041

-3.0

213

99%

-3.3

221

-3.3

322

-3.3

437

-3.3

557

-3.3

747

-3.3

962

-3.4

211

-3.4

528

-3.4

843

-3.5

189

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.2

737

-2.2

708

-2.2

682

-2.2

659

-2.2

662

-2.2

659

-2.2

663

-2.2

680

-2.2

710

-2.2

754

95%

-2.6

564

-2.6

608

-2.6

711

-2.6

825

-2.6

941

-2.7

077

-2.7

247

-2.7

363

-2.7

516

-2.7

750

97.5

%-3

.041

2-3

.063

0-3

.082

0-3

.108

5-3

.136

2-3

.166

4-3

.199

2-3

.236

8-3

.2784

-3.3

167

99%

-3.5

613

-3.6

004

-3.6

510

-3.7

009

-3.7

604

-3.8

186

-3.8

874

-3.9

587

-4.0

378

-4.1

212

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

824

-2.2

905

-2.2

990

-2.3

097

-2.3

226

-2.3

334

-2.3

467

-2.3

629

-2.3

783

-2.3

967

95%

-2.7

979

-2.8

233

-2.8

516

-2.8

763

-2.9

042

-2.9

374

-2.9

709

-3.0

047

-3.0

436

-3.0

821

97.5

%-3

.357

0-3

.409

1-3

.460

7-3

.512

5-3

.568

6-3

.626

9-3

.698

9-3

.761

7-3

.8293

-3.8

888

99%

-4.2

185

-4.3

147

-4.4

059

-4.4

945

-4.5

874

-4.6

983

-4.8

117

-4.9

387

-5.0

670

-5.1

927

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.4

172

-2.4

365

-2.4

582

-2.4

788

-2.5

034

-2.5

259

-2.5

520

-2.5

821

-2.6

130

-2.6

437

95%

-3.1

267

-3.1

698

-3.2

149

-3.2

617

-3.3

064

-3.3

526

-3.4

062

-3.4

602

-3.5

135

-3.5

686

97.5

%-3

.958

0-4

.038

2-4

.115

8-4

.189

1-4

.271

2-4

.354

9-4

.436

8-4

.530

5-4

.6170

-4.7

135

99%

-5.3

204

-5.4

455

-5.5

731

-5.7

000

-5.8

491

-5.9

836

-6.1

079

-6.2

458

-6.3

886

-6.5

362

Tab

le24

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rP

arze

nke

rnel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

and

lin

ear

tren

d.

30

Page 31: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Quadra

ticSpectra

lKern

el

31

Page 32: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-5.3

723

-5.0

563

-4.7

626

-4.4

986

-4.2

323

-3.9

969

-3.7

735

-3.5

662

-3.3

807

-3.1

984

95%

-7.4

539

-6.8

846

-6.4

088

-5.9

513

-5.5

415

-5.1

604

-4.8

252

-4.5

158

-4.2

517

-4.0

264

97.5

%-9

.483

0-8

.658

2-7

.921

5-7

.269

3-6

.682

0-6

.193

5-5

.751

9-5

.365

2-5

.0227

-4.7

060

99%

-12.

1393

-10.

8511

-9.7

702

-8.8

613

-8.0

116

-7.3

518

-6.7

566

-6.2

819

-5.8

232

-5.4

325

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-3.0

224

-2.8

666

-2.7

286

-2.6

014

-2.4

885

-2.3

990

-2.3

126

-2.2

323

-2.1

632

-2.0

882

95%

-3.8

005

-3.6

033

-3.4

198

-3.2

538

-3.0

933

-2.9

522

-2.8

222

-2.7

081

-2.6

104

-2.5

163

97.5

%-4

.433

5-4

.200

8-3

.997

7-3

.804

5-3

.604

4-3

.423

8-3

.263

5-3

.110

9-2

.9749

-2.8

507

99%

-5.1

329

-4.8

512

-4.5

897

-4.3

628

-4.1

514

-3.9

499

-3.7

755

-3.6

018

-3.4

475

-3.3

135

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.0

175

-1.9

453

-1.8

752

-1.8

075

-1.7

380

-1.6

684

-1.6

021

-1.5

375

-1.4

801

-1.4

222

95%

-2.4

339

-2.3

481

-2.2

709

-2.1

955

-2.1

258

-2.0

557

-1.9

934

-1.9

350

-1.8

784

-1.8

274

97.5

%-2

.745

7-2

.655

9-2

.573

7-2

.503

0-2

.440

3-2

.384

0-2

.333

5-2

.285

2-2

.2390

-2.1

948

99%

-3.1

953

-3.0

993

-3.0

147

-2.9

521

-2.8

961

-2.8

473

-2.8

048

-2.7

683

-2.7

337

-2.6

897

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-1.3

695

-1.3

185

-1.2

687

-1.2

227

-1.1

784

-1.1

398

-1.1

012

-1.0

662

-1.0

327

-1.0

003

95%

-1.7

788

-1.7

338

-1.6

894

-1.6

457

-1.5

993

-1.5

564

-1.5

128

-1.4

736

-1.4

358

-1.3

986

97.5

%-2

.148

4-2

.105

3-2

.063

4-2

.023

2-1

.980

7-1

.941

2-1

.901

6-1

.863

3-1

.8286

-1.7

907

99%

-2.6

693

-2.6

329

-2.5

986

-2.5

650

-2.5

259

-2.4

913

-2.4

617

-2.4

345

-2.4

033

-2.3

713

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.9

689

-0.9

393

-0.9

108

-0.8

839

-0.8

577

-0.8

333

-0.8

097

-0.7

868

-0.7

644

-0.7

431

95%

-1.3

644

-1.3

311

-1.2

979

-1.2

652

-1.2

329

-1.2

020

-1.1

727

-1.1

448

-1.1

182

-1.0

918

97.5

%-1

.754

4-1

.717

2-1

.683

1-1

.650

3-1

.615

9-1

.585

4-1

.556

2-1

.528

1-1

.4993

-1.4

719

99%

-2.3

470

-2.3

151

-2.2

882

-2.2

609

-2.2

401

-2.2

125

-2.1

867

-2.1

652

-2.1

383

-2.1

116

Tab

le25

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rQ

uad

rati

cS

pec

tral

kern

el(O

ne-

step

det

ren

din

g).

No

det

erm

inis

tic

com

pon

ents

.

32

Page 33: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

4917

-9.7

605

-9.1

174

-8.5

268

-8.0

144

-7.5

601

-7.1

577

-6.8

149

-6.4

899

-6.2

213

95%

-12.

8756

-11.

8437

-10.

9109

-10.

0931

-9.3

956

-8.8

460

-8.3

875

-7.9

648

-7.6

337

-7.3

555

97.5

%-1

5.26

81-1

3.77

57-1

2.53

55-1

1.52

00-1

0.72

62-1

0.03

81-9

.502

9-9

.119

8-8

.7621

-8.4

765

99%

-18.

3246

-16.

1526

-14.

4291

-13.

2209

-12.

2993

-11.

5991

-11.

0403

-10.

6400

-10.3

350

-10.0

609

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-5.9

974

-5.8

036

-5.6

213

-5.4

585

-5.3

240

-5.2

048

-5.1

018

-5.0

064

-4.9

190

-4.8

313

95%

-7.1

068

-6.9

001

-6.7

190

-6.5

694

-6.4

502

-6.3

426

-6.2

725

-6.2

016

-6.1

332

-6.0

632

97.5

%-8

.251

6-8

.033

1-7

.906

9-7

.774

2-7

.662

2-7

.543

1-7

.476

1-7

.394

8-7

.3357

-7.2

741

99%

-9.8

733

-9.6

594

-9.4

816

-9.3

783

-9.2

848

-9.1

919

-9.0

975

-9.0

461

-8.9

953

-8.9

495

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-4.7

467

-4.6

545

-4.5

625

-4.4

636

-4.3

800

-4.2

890

-4.1

966

-4.1

144

-4.0

340

-3.9

532

95%

-5.9

958

-5.9

183

-5.8

471

-5.7

674

-5.6

916

-5.6

025

-5.5

181

-5.4

210

-5.3

282

-5.2

373

97.5

%-7

.206

1-7

.141

9-7

.082

3-7

.011

1-6

.925

9-6

.857

4-6

.766

5-6

.673

1-6

.5840

-6.4

808

99%

-8.9

104

-8.8

747

-8.8

141

-8.7

567

-8.6

823

-8.6

002

-8.5

222

-8.4

180

-8.3

181

-8.2

164

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-3.8

756

-3.8

004

-3.7

284

-3.6

576

-3.5

875

-3.5

213

-3.4

563

-3.3

950

-3.3

350

-3.2

829

95%

-5.1

525

-5.0

665

-4.9

835

-4.8

969

-4.8

141

-4.7

333

-4.6

570

-4.5

802

-4.5

145

-4.4

473

97.5

%-6

.385

9-6

.293

3-6

.190

2-6

.093

6-6

.001

0-5

.899

6-5

.799

8-5

.702

9-5

.6220

-5.5

384

99%

-8.1

178

-7.9

969

-7.8

901

-7.7

649

-7.6

364

-7.5

136

-7.4

168

-7.3

061

-7.1

964

-7.0

817

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.2

303

-3.1

833

-3.1

375

-3.0

935

-3.0

487

-3.0

077

-2.9

720

-2.9

352

-2.9

022

-2.8

679

95%

-4.3

783

-4.3

149

-4.2

515

-4.1

901

-4.1

285

-4.0

754

-4.0

257

-3.9

781

-3.9

316

-3.8

900

97.5

%-5

.459

2-5

.390

1-5

.318

9-5

.253

2-5

.177

1-5

.118

1-5

.048

3-4

.981

6-4

.9246

-4.8

637

99%

-6.9

824

-6.8

735

-6.7

787

-6.6

852

-6.5

883

-6.5

001

-6.4

202

-6.3

346

-6.2

783

-6.2

017

Tab

le26

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rQ

uad

rati

cS

pec

tral

ker

nel

(On

e-st

epd

etre

nd

ing).

Inte

rcep

t.

33

Page 34: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

3462

-14.

5423

-13.

0086

-11.

7183

-10.

6905

-9.8

370

-9.1

436

-8.5

642

-8.0

671

-7.6

692

95%

-19.

0896

-16.

6178

-14.

6936

-13.

1729

-11.

9757

-11.

0735

-10.

3329

-9.7

207

-9.2

679

-8.8

607

97.5

%-2

1.54

05-1

8.49

16-1

6.18

05-1

4.44

63-1

3.17

53-1

2.23

42-1

1.49

89-1

0.94

29-1

0.4

996

-10.1

131

99%

-24.

5328

-20.

7408

-18.

0219

-16.

0041

-14.

7663

-13.

8548

-13.

1545

-12.

6325

-12.2

126

-11.8

221

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-7.2

945

-6.9

921

-6.7

159

-6.4

561

-6.2

007

-5.9

309

-5.6

602

-5.4

002

-5.1

406

-4.8

923

95%

-8.5

505

-8.2

478

-8.0

135

-7.7

991

-7.5

707

-7.3

537

-7.1

157

-6.8

700

-6.6

058

-6.3

366

97.5

%-9

.838

7-9

.573

4-9

.347

7-9

.159

6-8

.965

8-8

.761

3-8

.536

9-8

.282

5-8

.0149

-7.7

164

99%

-11.

5582

-11.

2874

-11.

1176

-10.

9141

-10.

7764

-10.

5748

-10.

3404

-10.

0795

-9.8

032

-9.5

087

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-4.6

550

-4.4

304

-4.2

194

-4.0

235

-3.8

521

-3.6

858

-3.5

351

-3.4

000

-3.2

781

-3.1

739

95%

-6.0

742

-5.8

074

-5.5

498

-5.3

157

-5.1

036

-4.9

015

-4.7

226

-4.5

669

-4.4

182

-4.2

922

97.5

%-7

.417

0-7

.133

7-6

.859

4-6

.581

8-6

.341

3-6

.128

2-5

.911

8-5

.716

4-5

.5405

-5.3

854

99%

-9.1

903

-8.8

646

-8.5

325

-8.2

124

-7.9

035

-7.6

015

-7.3

510

-7.1

103

-6.9

118

-6.7

431

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-3.0

798

-2.9

976

-2.9

241

-2.8

537

-2.7

966

-2.7

366

-2.6

869

-2.6

421

-2.6

024

-2.5

643

95%

-4.1

737

-4.0

675

-3.9

734

-3.8

881

-3.8

136

-3.7

490

-3.6

907

-3.6

406

-3.5

952

-3.5

491

97.5

%-5

.249

5-5

.116

9-4

.992

8-4

.891

2-4

.793

9-4

.708

6-4

.640

2-4

.578

5-4

.5217

-4.4

720

99%

-6.5

674

-6.4

100

-6.2

739

-6.1

585

-6.0

623

-5.9

588

-5.8

779

-5.8

093

-5.7

460

-5.6

812

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-2.5

316

-2.5

037

-2.4

808

-2.4

562

-2.4

320

-2.4

125

-2.3

956

-2.3

795

-2.3

664

-2.3

538

95%

-3.5

119

-3.4

746

-3.4

484

-3.4

225

-3.3

998

-3.3

790

-3.3

490

-3.3

290

-3.3

137

-3.2

987

97.5

%-4

.436

0-4

.396

8-4

.354

7-4

.319

6-4

.294

1-4

.266

7-4

.246

4-4

.228

9-4

.2076

-4.1

914

99%

-5.6

298

-5.5

787

-5.5

381

-5.4

969

-5.4

612

-5.4

263

-5.3

917

-5.3

643

-5.3

477

-5.3

283

Tab

le27

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rQ

uad

rati

cS

pec

tral

ker

nel

(On

e-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

34

Page 35: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-1.5

708

-1.5

240

-1.4

762

-1.4

330

-1.3

875

-1.3

492

-1.3

118

-1.2

747

-1.2

391

-1.2

048

95%

-1.8

698

-1.7

926

-1.7

295

-1.6

715

-1.6

109

-1.5

545

-1.5

021

-1.4

526

-1.4

077

-1.3

641

97.5

%-2

.124

5-2

.029

7-1

.945

4-1

.860

1-1

.781

7-1

.717

2-1

.651

6-1

.594

3-1

.5377

-1.4

852

99%

-2.4

186

-2.2

875

-2.1

756

-2.0

693

-1.9

672

-1.8

818

-1.8

003

-1.7

285

-1.6

645

-1.6

069

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-1.1

718

-1.1

410

-1.1

088

-1.0

812

-1.0

563

-1.0

343

-1.0

153

-0.9

984

-0.9

814

-0.9

652

95%

-1.3

260

-1.2

884

-1.2

531

-1.2

202

-1.1

902

-1.1

608

-1.1

347

-1.1

105

-1.0

858

-1.0

646

97.5

%-1

.440

4-1

.399

9-1

.361

9-1

.327

1-1

.294

2-1

.259

4-1

.226

3-1

.194

1-1

.1625

-1.1

344

99%

-1.5

564

-1.5

098

-1.4

673

-1.4

267

-1.3

884

-1.3

506

-1.3

153

-1.2

772

-1.2

407

-1.2

063

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-0.9

494

-0.9

325

-0.9

150

-0.8

974

-0.8

798

-0.8

626

-0.8

450

-0.8

283

-0.8

114

-0.7

946

95%

-1.0

444

-1.0

263

-1.0

072

-0.9

889

-0.9

712

-0.9

533

-0.9

366

-0.9

202

-0.9

043

-0.8

888

97.5

%-1

.107

5-1

.083

6-1

.062

2-1

.042

9-1

.024

2-1

.007

9-0

.992

0-0

.976

8-0

.9635

-0.9

506

99%

-1.1

741

-1.1

447

-1.1

188

-1.0

975

-1.0

770

-1.0

600

-1.0

467

-1.0

340

-1.0

229

-1.0

134

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-0.7

789

-0.7

638

-0.7

490

-0.7

339

-0.7

200

-0.7

063

-0.6

930

-0.6

803

-0.6

681

-0.6

564

95%

-0.8

739

-0.8

592

-0.8

449

-0.8

315

-0.8

185

-0.8

064

-0.7

943

-0.7

828

-0.7

708

-0.7

594

97.5

%-0

.937

9-0

.925

6-0

.914

0-0

.901

1-0

.889

3-0

.877

3-0

.864

9-0

.853

4-0

.8420

-0.8

305

99%

-1.0

028

-0.9

927

-0.9

820

-0.9

720

-0.9

623

-0.9

521

-0.9

424

-0.9

328

-0.9

227

-0.9

138

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-0.6

452

-0.6

344

-0.6

238

-0.6

136

-0.6

035

-0.5

939

-0.5

848

-0.5

757

-0.5

667

-0.5

579

95%

-0.7

477

-0.7

368

-0.7

258

-0.7

154

-0.7

052

-0.6

948

-0.6

849

-0.6

751

-0.6

659

-0.6

566

97.5

%-0

.819

3-0

.807

8-0

.796

9-0

.787

2-0

.776

5-0

.765

9-0

.756

2-0

.746

5-0

.7375

-0.7

280

99%

-0.9

035

-0.8

945

-0.8

855

-0.8

771

-0.8

680

-0.8

590

-0.8

514

-0.8

430

-0.8

350

-0.8

267

Tab

le28

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rQ

uad

rati

cS

pec

tral

kern

el(O

ne-

step

det

ren

din

g).

No

det

erm

inis

tic

com

pon

ents

.

35

Page 36: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-2.5

032

-2.4

418

-2.3

822

-2.3

321

-2.2

862

-2.2

545

-2.2

304

-2.2

148

-2.2

049

-2.2

013

95%

-2.7

864

-2.7

095

-2.6

448

-2.5

943

-2.5

672

-2.5

520

-2.5

508

-2.5

566

-2.5

682

-2.5

855

97.5

%-3

.037

8-2

.952

3-2

.894

3-2

.860

4-2

.851

0-2

.852

6-2

.867

7-2

.902

1-2

.9367

-2.9

806

99%

-3.3

178

-3.2

314

-3.1

898

-3.1

924

-3.2

133

-3.2

431

-3.2

941

-3.3

589

-3.4

577

-3.5

496

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-2.2

036

-2.2

105

-2.2

183

-2.2

311

-2.2

485

-2.2

687

-2.2

903

-2.3

148

-2.3

421

-2.3

662

95%

-2.6

063

-2.6

352

-2.6

717

-2.7

080

-2.7

508

-2.8

005

-2.8

611

-2.9

182

-2.9

779

-3.0

431

97.5

%-3

.031

1-3

.091

8-3

.156

6-3

.227

5-3

.311

1-3

.415

3-3

.526

2-3

.640

8-3

.7748

-3.9

128

99%

-3.6

569

-3.7

953

-3.9

459

-4.1

028

-4.2

854

-4.4

825

-4.7

062

-4.9

435

-5.2

034

-5.4

662

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-2.3

948

-2.4

282

-2.4

609

-2.4

975

-2.5

369

-2.5

718

-2.6

135

-2.6

572

-2.7

017

-2.7

531

95%

-3.1

076

-3.1

794

-3.2

625

-3.3

481

-3.4

426

-3.5

379

-3.6

374

-3.7

462

-3.8

542

-3.9

685

97.5

%-4

.053

0-4

.215

2-4

.378

0-4

.540

7-4

.720

9-4

.884

6-5

.051

1-5

.215

5-5

.3949

-5.5

721

99%

-5.7

618

-6.0

689

-6.3

815

-6.7

156

-7.0

348

-7.3

388

-7.6

599

-7.9

534

-8.2

694

-8.6

393

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-2.8

018

-2.8

541

-2.9

071

-2.9

595

-3.0

129

-3.0

698

-3.1

300

-3.1

921

-3.2

533

-3.3

190

95%

-4.0

770

-4.1

873

-4.3

032

-4.4

192

-4.5

403

-4.6

677

-4.7

879

-4.9

229

-5.0

523

-5.1

864

97.5

%-5

.772

4-5

.964

3-6

.181

6-6

.377

1-6

.592

9-6

.801

3-6

.995

4-7

.205

3-7

.4247

-7.6

478

99%

-8.9

793

-9.2

901

-9.6

162

-9.9

073

-10.

2576

-10.

6362

-10.

9730

-11.

3665

-11.6

620

-12.0

271

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-3.3

913

-3.4

623

-3.5

322

-3.6

079

-3.6

851

-3.7

607

-3.8

374

-3.9

181

-3.9

971

-4.0

787

95%

-5.3

135

-5.4

416

-5.5

736

-5.7

245

-5.8

613

-6.0

029

-6.1

455

-6.2

936

-6.4

316

-6.5

848

97.5

%-7

.857

9-8

.095

4-8

.317

9-8

.542

7-8

.761

5-9

.000

7-9

.199

3-9

.448

8-9

.6784

-9.9

219

99%

-12.

4204

-12.

7487

-13.

1166

-13.

4912

-13.

8809

-14.

2204

-14.

5894

-14.

9457

-15.3

343

-15.6

834

Tab

le29

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rQ

uad

rati

cS

pec

tral

kern

el(O

ne-

step

det

ren

din

g).

Inte

rcep

t.

36

Page 37: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-2.9

941

-2.8

503

-2.7

212

-2.6

126

-2.5

265

-2.4

595

-2.4

078

-2.3

664

-2.3

393

-2.3

194

95%

-3.2

480

-3.0

715

-2.9

355

-2.8

363

-2.7

670

-2.7

231

-2.6

930

-2.6

786

-2.6

701

-2.6

692

97.5

%-3

.462

2-3

.270

4-3

.135

7-3

.056

2-3

.005

4-2

.983

0-2

.973

6-2

.976

3-2

.9905

-3.0

146

99%

-3.7

195

-3.5

218

-3.4

047

-3.3

540

-3.3

243

-3.3

329

-3.3

557

-3.3

881

-3.4

388

-3.4

982

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-2.3

077

-2.2

991

-2.2

983

-2.3

032

-2.3

125

-2.3

249

-2.3

428

-2.3

643

-2.3

939

-2.4

231

95%

-2.6

769

-2.6

922

-2.7

168

-2.7

476

-2.7

898

-2.8

318

-2.8

854

-2.9

459

-3.0

164

-3.0

955

97.5

%-3

.048

4-3

.099

1-3

.151

6-3

.223

7-3

.304

1-3

.405

7-3

.513

9-3

.649

8-3

.7835

-3.9

440

99%

-3.5

738

-3.6

725

-3.7

882

-3.9

627

-4.1

458

-4.3

642

-4.5

972

-4.8

660

-5.1

523

-5.4

539

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-2.4

617

-2.5

046

-2.5

545

-2.6

123

-2.6

771

-2.7

518

-2.8

397

-2.9

336

-3.0

343

-3.1

436

95%

-3.1

820

-3.2

749

-3.3

819

-3.5

038

-3.6

375

-3.7

942

-3.9

635

-4.1

380

-4.3

190

-4.5

077

97.5

%-4

.120

1-4

.303

3-4

.488

4-4

.692

3-4

.915

1-5

.154

0-5

.393

4-5

.645

9-5

.9066

-6.2

152

99%

-5.7

790

-6.0

885

-6.4

355

-6.7

628

-7.1

225

-7.5

485

-7.9

642

-8.3

630

-8.8

042

-9.2

394

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-3.2

581

-3.3

828

-3.5

167

-3.6

534

-3.7

994

-3.9

542

-4.1

202

-4.2

918

-4.4

693

-4.6

576

95%

-4.7

095

-4.9

219

-5.1

384

-5.3

604

-5.5

982

-5.8

422

-6.0

982

-6.3

660

-6.6

353

-6.9

188

97.5

%-6

.510

2-6

.805

9-7

.127

0-7

.458

1-7

.837

1-8

.192

8-8

.569

1-8

.954

9-9

.3633

-9.7

635

99%

-9.7

330

-10.

2475

-10.

7474

-11.

2579

-11.

8062

-12.

3330

-12.

8726

-13.

4843

-14.0

286

-14.6

546

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-4.8

505

-5.0

447

-5.2

468

-5.4

555

-5.6

684

-5.8

911

-6.1

266

-6.3

568

-6.5

996

-6.8

412

95%

-7.2

132

-7.5

236

-7.8

269

-8.1

527

-8.4

918

-8.8

480

-9.2

057

-9.5

703

-9.9

428

-10.3

236

97.5

%-1

0.19

59-1

0.63

07-1

1.08

07-1

1.55

64-1

2.02

39-1

2.50

67-1

3.00

91-1

3.52

07-1

4.0

442

-14.5

809

99%

-15.

3274

-15.

9380

-16.

6935

-17.

3353

-18.

0652

-18.

7614

-19.

4813

-20.

2397

-21.0

065

-21.8

694

Tab

le30

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rQ

uad

rati

cS

pec

tral

kern

el(O

ne-

step

det

ren

din

g).

Inte

rcep

tan

dli

nea

rtr

end

.

37

Page 38: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

2 Two-Step Detrending

38

Page 39: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Bartlett

Kern

el

39

Page 40: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

6604

-10.

1231

-9.5

938

-9.1

283

-8.7

028

-8.3

183

-7.9

608

-7.6

288

-7.3

387

-7.0

686

95%

-13.

1201

-12.

2669

-11.

4955

-10.

8096

-10.

2062

-9.6

399

-9.1

668

-8.7

777

-8.4

570

-8.1

931

97.5

%-1

5.59

33-1

4.30

22-1

3.25

49-1

2.34

10-1

1.52

48-1

0.89

75-1

0.34

74-9

.952

0-9

.6145

-9.3

620

99%

-18.

7279

-16.

8799

-15.

3074

-14.

0863

-13.

1321

-12.

4052

-11.

8721

-11.

5081

-11.2

237

-11.0

158

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-6.8

417

-6.6

405

-6.4

757

-6.3

381

-6.2

274

-6.1

444

-6.0

605

-5.9

825

-5.9

236

-5.8

774

95%

-7.9

690

-7.7

988

-7.6

531

-7.5

341

-7.4

274

-7.3

462

-7.2

667

-7.1

950

-7.1

428

-7.0

913

97.5

%-9

.165

1-9

.029

5-8

.887

7-8

.773

6-8

.696

5-8

.606

2-8

.524

8-8

.471

5-8

.4229

-8.3

894

99%

-10.

8331

-10.

6912

-10.

5656

-10.

4323

-10.

3064

-10.

2420

-10.

1563

-10.

1116

-10.0

680

-10.0

291

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.8

295

-5.7

891

-5.7

600

-5.7

354

-5.7

028

-5.6

722

-5.6

528

-5.6

338

-5.6

140

-5.6

006

95%

-7.0

567

-7.0

240

-6.9

998

-6.9

685

-6.9

500

-6.9

354

-6.9

084

-6.8

937

-6.8

824

-6.8

711

97.5

%-8

.337

4-8

.291

0-8

.253

0-8

.215

5-8

.179

8-8

.162

5-8

.156

0-8

.150

4-8

.1397

-8.1

273

99%

-9.9

725

-9.9

328

-9.9

072

-9.8

788

-9.8

606

-9.8

262

-9.8

140

-9.7

888

-9.7

812

-9.7

603

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.5

873

-5.5

794

-5.5

729

-5.5

650

-5.5

585

-5.5

618

-5.5

547

-5.5

560

-5.5

573

-5.5

559

95%

-6.8

636

-6.8

550

-6.8

535

-6.8

485

-6.8

474

-6.8

444

-6.8

399

-6.8

340

-6.8

255

-6.8

302

97.5

%-8

.112

3-8

.100

9-8

.100

7-8

.092

1-8

.082

6-8

.073

0-8

.078

9-8

.087

2-8

.0939

-8.0

872

99%

-9.7

455

-9.7

254

-9.7

201

-9.7

177

-9.7

034

-9.7

101

-9.7

229

-9.7

205

-9.7

370

-9.7

464

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-5.5

583

-5.5

586

-5.5

686

-5.5

784

-5.5

830

-5.5

931

-5.6

002

-5.6

095

-5.6

180

-5.6

252

95%

-6.8

355

-6.8

426

-6.8

444

-6.8

434

-6.8

609

-6.8

694

-6.8

771

-6.8

841

-6.9

004

-6.9

165

97.5

%-8

.084

5-8

.098

7-8

.100

9-8

.103

4-8

.107

9-8

.115

1-8

.128

0-8

.153

3-8

.1707

-8.1

835

99%

-9.7

509

-9.7

600

-9.7

723

-9.7

948

-9.8

170

-9.8

318

-9.8

288

-9.8

414

-9.8

662

-9.8

834

Tab

le31

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rB

artl

ett

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

t.

40

Page 41: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

8740

-15.

4568

-14.

2283

-13.

1428

-12.

1951

-11.

3750

-10.

7427

-10.

2522

-9.8

690

-9.5

680

95%

-19.

6704

-17.

6725

-16.

0086

-14.

6539

-13.

5358

-12.

6956

-12.

0801

-11.

6308

-11.2

892

-11.0

250

97.5

%-2

2.25

86-1

9.67

24-1

7.60

48-1

6.02

87-1

4.84

86-1

4.03

69-1

3.46

99-1

3.07

60-1

2.7

477

-12.4

793

99%

-25.

3685

-22.

1628

-19.

5804

-17.

7028

-16.

5256

-15.

7610

-15.

2175

-14.

8254

-14.5

739

-14.3

975

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-9.3

130

-9.1

097

-8.9

286

-8.7

694

-8.6

409

-8.5

196

-8.4

293

-8.3

286

-8.2

343

-8.1

481

95%

-10.

8164

-10.

6122

-10.

4735

-10.

3377

-10.

2397

-10.

1469

-10.

0563

-9.9

715

-9.9

048

-9.8

394

97.5

%-1

2.27

37-1

2.13

23-1

2.00

49-1

1.89

97-1

1.81

10-1

1.72

23-1

1.65

00-1

1.56

94-1

1.4

984

-11.4

212

99%

-14.

2025

-14.

0635

-13.

9339

-13.

8517

-13.

7969

-13.

7271

-13.

6728

-13.

6087

-13.5

347

-13.4

654

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-8.0

653

-7.9

860

-7.9

105

-7.8

353

-7.7

610

-7.6

914

-7.6

234

-7.5

624

-7.5

095

-7.4

488

95%

-9.7

626

-9.7

074

-9.6

435

-9.5

872

-9.5

210

-9.4

592

-9.4

019

-9.3

310

-9.2

655

-9.2

195

97.5

%-1

1.36

38-1

1.32

67-1

1.28

39-1

1.23

62-1

1.19

38-1

1.12

96-1

1.07

79-1

1.02

40-1

0.9

639

-10.9

114

99%

-13.

4440

-13.

4137

-13.

3815

-13.

3440

-13.

2940

-13.

2631

-13.

2354

-13.

1925

-13.1

435

-13.0

754

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-7.3

849

-7.3

279

-7.2

679

-7.2

052

-7.1

453

-7.0

840

-7.0

242

-6.9

643

-6.9

072

-6.8

481

95%

-9.1

645

-9.1

224

-9.0

608

-9.0

031

-8.9

415

-8.8

894

-8.8

244

-8.7

746

-8.7

197

-8.6

704

97.5

%-1

0.86

90-1

0.82

05-1

0.77

63-1

0.71

61-1

0.67

35-1

0.62

70-1

0.57

03-1

0.51

32-1

0.4

428

-10.3

818

99%

-13.

0225

-12.

9942

-12.

9559

-12.

8999

-12.

8525

-12.

7773

-12.

7387

-12.

6974

-12.6

377

-12.5

832

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-6.7

947

-6.7

389

-6.6

856

-6.6

325

-6.5

813

-6.5

296

-6.4

854

-6.4

341

-6.3

961

-6.3

563

95%

-8.6

087

-8.5

559

-8.4

978

-8.4

462

-8.3

927

-8.3

342

-8.2

880

-8.2

472

-8.1

893

-8.1

378

97.5

%-1

0.32

51-1

0.27

19-1

0.20

71-1

0.15

31-1

0.11

14-1

0.05

49-1

0.01

05-9

.960

5-9

.9013

-9.8

449

99%

-12.

5393

-12.

4755

-12.

4255

-12.

3715

-12.

3194

-12.

2768

-12.

2103

-12.

1775

-12.1

312

-12.0

865

Tab

le32

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rB

artl

ett

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

tand

lin

ear

tren

d.

41

Page 42: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

156

-2.4

646

-2.4

156

-2.3

696

-2.3

248

-2.2

855

-2.2

518

-2.2

256

-2.2

054

-2.1

873

95%

-2.7

991

-2.7

322

-2.6

709

-2.6

141

-2.5

703

-2.5

398

-2.5

193

-2.5

024

-2.4

884

-2.4

735

97.5

%-3

.055

4-2

.975

3-2

.907

1-2

.853

2-2

.823

0-2

.797

1-2

.782

4-2

.767

0-2

.7576

-2.7

517

99%

-3.3

310

-3.2

474

-3.1

857

-3.1

522

-3.1

287

-3.1

139

-3.1

016

-3.0

922

-3.0

874

-3.0

845

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.1

737

-2.1

618

-2.1

536

-2.1

440

-2.1

363

-2.1

296

-2.1

225

-2.1

170

-2.1

126

-2.1

085

95%

-2.4

645

-2.4

568

-2.4

488

-2.4

443

-2.4

372

-2.4

318

-2.4

276

-2.4

242

-2.4

215

-2.4

183

97.5

%-2

.744

7-2

.737

9-2

.732

5-2

.726

3-2

.723

0-2

.718

4-2

.714

8-2

.711

6-2

.7078

-2.7

054

99%

-3.0

807

-3.0

753

-3.0

735

-3.0

702

-3.0

641

-3.0

588

-3.0

542

-3.0

518

-3.0

486

-3.0

480

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

056

-2.1

025

-2.0

997

-2.0

976

-2.0

953

-2.0

937

-2.0

919

-2.0

906

-2.0

888

-2.0

876

95%

-2.4

156

-2.4

128

-2.4

111

-2.4

101

-2.4

079

-2.4

064

-2.4

041

-2.4

025

-2.4

018

-2.4

008

97.5

%-2

.703

2-2

.701

5-2

.699

8-2

.697

9-2

.696

4-2

.695

2-2

.693

9-2

.692

7-2

.6913

-2.6

907

99%

-3.0

470

-3.0

455

-3.0

444

-3.0

416

-3.0

398

-3.0

360

-3.0

348

-3.0

338

-3.0

322

-3.0

309

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.0

860

-2.0

854

-2.0

849

-2.0

838

-2.0

832

-2.0

830

-2.0

825

-2.0

813

-2.0

811

-2.0

792

95%

-2.3

999

-2.3

989

-2.3

980

-2.3

973

-2.3

975

-2.3

970

-2.3

967

-2.3

960

-2.3

963

-2.3

957

97.5

%-2

.690

1-2

.688

6-2

.688

0-2

.687

3-2

.686

6-2

.685

9-2

.684

9-2

.684

2-2

.6842

-2.6

839

99%

-3.0

280

-3.0

272

-3.0

254

-3.0

255

-3.0

247

-3.0

241

-3.0

221

-3.0

215

-3.0

205

-3.0

195

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.0

795

-2.0

802

-2.0

802

-2.0

800

-2.0

816

-2.0

823

-2.0

827

-2.0

830

-2.0

833

-2.0

838

95%

-2.3

955

-2.3

956

-2.3

952

-2.3

946

-2.3

951

-2.3

950

-2.3

967

-2.3

968

-2.3

974

-2.3

977

97.5

%-2

.683

7-2

.683

6-2

.683

1-2

.682

9-2

.682

6-2

.682

5-2

.682

6-2

.682

1-2

.6835

-2.6

838

99%

-3.0

186

-3.0

179

-3.0

168

-3.0

165

-3.0

163

-3.0

158

-3.0

157

-3.0

160

-3.0

161

-3.0

166

Tab

le33

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

artl

ett

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

t.

42

Page 43: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

350

-2.9

202

-2.8

218

-2.7

313

-2.6

518

-2.5

940

-2.5

487

-2.5

154

-2.4

884

-2.4

658

95%

-3.2

919

-3.1

515

-3.0

358

-2.9

447

-2.8

821

-2.8

405

-2.8

075

-2.7

852

-2.7

612

-2.7

437

97.5

%-3

.509

2-3

.352

2-3

.232

6-3

.154

3-3

.104

7-3

.067

4-3

.046

8-3

.024

6-3

.0082

-2.9

954

99%

-3.7

692

-3.6

015

-3.4

917

-3.4

314

-3.3

797

-3.3

537

-3.3

372

-3.3

255

-3.3

157

-3.3

116

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.4

445

-2.4

288

-2.4

151

-2.4

025

-2.3

914

-2.3

823

-2.3

702

-2.3

615

-2.3

539

-2.3

463

95%

-2.7

305

-2.7

198

-2.7

090

-2.7

013

-2.6

925

-2.6

859

-2.6

797

-2.6

752

-2.6

703

-2.6

660

97.5

%-2

.986

6-2

.980

4-2

.973

4-2

.966

0-2

.961

8-2

.958

1-2

.953

3-2

.950

1-2

.9461

-2.9

435

99%

-3.3

024

-3.2

971

-3.2

912

-3.2

881

-3.2

834

-3.2

823

-3.2

793

-3.2

782

-3.2

749

-3.2

735

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.3

380

-2.3

316

-2.3

247

-2.3

180

-2.3

107

-2.3

036

-2.2

976

-2.2

919

-2.2

860

-2.2

805

95%

-2.6

615

-2.6

567

-2.6

507

-2.6

459

-2.6

409

-2.6

361

-2.6

311

-2.6

266

-2.6

218

-2.6

177

97.5

%-2

.942

0-2

.937

5-2

.933

7-2

.929

5-2

.926

4-2

.923

0-2

.918

4-2

.915

7-2

.9134

-2.9

103

99%

-3.2

706

-3.2

696

-3.2

687

-3.2

671

-3.2

655

-3.2

654

-3.2

638

-3.2

631

-3.2

625

-3.2

616

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

757

-2.2

688

-2.2

632

-2.2

577

-2.2

523

-2.2

469

-2.2

424

-2.2

379

-2.2

328

-2.2

282

95%

-2.6

140

-2.6

102

-2.6

060

-2.6

019

-2.5

980

-2.5

941

-2.5

907

-2.5

881

-2.5

851

-2.5

806

97.5

%-2

.906

7-2

.903

1-2

.900

7-2

.898

5-2

.895

2-2

.892

8-2

.890

3-2

.886

9-2

.8841

-2.8

810

99%

-3.2

586

-3.2

570

-3.2

548

-3.2

513

-3.2

484

-3.2

452

-3.2

433

-3.2

414

-3.2

398

-3.2

376

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.2

231

-2.2

186

-2.2

142

-2.2

099

-2.2

067

-2.2

033

-2.1

997

-2.1

968

-2.1

946

-2.1

921

95%

-2.5

768

-2.5

734

-2.5

699

-2.5

668

-2.5

630

-2.5

604

-2.5

580

-2.5

558

-2.5

530

-2.5

512

97.5

%-2

.878

6-2

.875

3-2

.872

5-2

.869

6-2

.866

8-2

.864

0-2

.862

8-2

.861

2-2

.8599

-2.8

575

99%

-3.2

359

-3.2

347

-3.2

320

-3.2

295

-3.2

275

-3.2

248

-3.2

221

-3.2

200

-3.2

195

-3.2

181

Tab

le34

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

artl

ett

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

tan

dli

nea

rtr

end.

43

Page 44: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Parzen

Kern

el

44

Page 45: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

8290

-10.

3977

-9.9

750

-9.5

981

-9.2

486

-8.9

184

-8.6

086

-8.3

063

-8.0

461

-7.8

012

95%

-13.

3751

-12.

6963

-12.

0847

-11.

5307

-11.

0060

-10.

5134

-10.

0832

-9.6

799

-9.3

301

-9.0

099

97.5

%-1

5.90

05-1

4.95

52-1

4.09

52-1

3.29

70-1

2.61

42-1

1.98

49-1

1.42

16-1

0.94

07-1

0.5

547

-10.2

103

99%

-19.

1205

-17.

8014

-16.

5469

-15.

4100

-14.

4487

-13.

6652

-13.

0414

-12.

5342

-12.0

754

-11.7

822

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-7.5

644

-7.3

478

-7.1

554

-6.9

734

-6.8

041

-6.6

537

-6.5

275

-6.4

136

-6.3

044

-6.2

094

95%

-8.7

384

-8.5

011

-8.2

916

-8.1

085

-7.9

495

-7.8

214

-7.7

004

-7.5

872

-7.4

938

-7.4

111

97.5

%-9

.926

2-9

.659

1-9

.442

0-9

.252

5-9

.116

1-9

.001

5-8

.894

5-8

.788

6-8

.7066

-8.6

335

99%

-11.

4986

-11.

2634

-11.

0740

-10.

9088

-10.

7667

-10.

6780

-10.

5640

-10.

4746

-10.3

762

-10.2

956

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-6.1

377

-6.0

720

-6.0

083

-5.9

516

-5.8

939

-5.8

484

-5.8

126

-5.7

782

-5.7

436

-5.7

127

95%

-7.3

321

-7.2

692

-7.2

061

-7.1

588

-7.1

061

-7.0

617

-7.0

232

-6.9

881

-6.9

560

-6.9

222

97.5

%-8

.573

1-8

.508

3-8

.456

9-8

.396

4-8

.343

8-8

.306

9-8

.272

6-8

.241

1-8

.2152

-8.1

885

99%

-10.

2347

-10.

1637

-10.

1315

-10.

0717

-10.

0187

-9.9

902

-9.9

475

-9.9

147

-9.8

993

-9.8

647

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.6

851

-5.6

580

-5.6

359

-5.6

131

-5.5

940

-5.5

750

-5.5

613

-5.5

470

-5.5

365

-5.5

255

95%

-6.9

000

-6.8

862

-6.8

635

-6.8

480

-6.8

314

-6.8

134

-6.8

039

-6.7

932

-6.7

832

-6.7

734

97.5

%-8

.159

1-8

.147

0-8

.125

3-8

.112

0-8

.092

1-8

.083

2-8

.074

3-8

.055

3-8

.0379

-8.0

301

99%

-9.8

165

-9.7

978

-9.7

813

-9.7

563

-9.7

388

-9.7

232

-9.7

037

-9.6

896

-9.6

895

-9.6

877

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-5.5

112

-5.5

019

-5.4

971

-5.4

938

-5.4

848

-5.4

818

-5.4

786

-5.4

786

-5.4

723

-5.4

702

95%

-6.7

631

-6.7

556

-6.7

428

-6.7

410

-6.7

393

-6.7

383

-6.7

367

-6.7

317

-6.7

357

-6.7

351

97.5

%-8

.016

2-8

.009

2-8

.004

0-7

.999

5-7

.998

8-7

.993

0-7

.990

5-7

.988

7-7

.9859

-7.9

822

99%

-9.6

837

-9.6

724

-9.6

741

-9.6

755

-9.6

596

-9.6

463

-9.6

526

-9.6

407

-9.6

462

-9.6

337

Tab

le35

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rP

arze

nke

rnel

(Tw

o-st

epd

etre

nd

ing).

Inte

rcep

t.

45

Page 46: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-17.

2714

-16.

1500

-15.

1735

-14.

2509

-13.

4254

-12.

6926

-12.

0270

-11.

4617

-10.9

662

-10.5

456

95%

-20.

2140

-18.

6930

-17.

2873

-16.

0835

-15.

0332

-14.

1613

-13.

4158

-12.

7985

-12.2

858

-11.8

878

97.5

%-2

3.01

68-2

0.99

34-1

9.21

74-1

7.72

79-1

6.52

58-1

5.49

42-1

4.71

32-1

4.12

55-1

3.6

546

-13.2

918

99%

-26.

4989

-23.

7428

-21.

5594

-19.

7371

-18.

3041

-17.

2256

-16.

4322

-15.

8532

-15.4

241

-15.0

234

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-10.

1925

-9.8

946

-9.6

379

-9.4

237

-9.2

329

-9.0

578

-8.9

118

-8.7

885

-8.6

833

-8.5

722

95%

-11.

5617

-11.

2981

-11.

0793

-10.

8984

-10.

7408

-10.

5897

-10.

4658

-10.

3589

-10.2

583

-10.1

761

97.5

%-1

2.99

59-1

2.71

99-1

2.51

83-1

2.33

87-1

2.18

25-1

2.05

25-1

1.94

67-1

1.85

29-1

1.7

799

-11.7

068

99%

-14.

7497

-14.

5101

-14.

3706

-14.

2078

-14.

0947

-13.

9968

-13.

8871

-13.

7857

-13.7

308

-13.6

942

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-8.4

805

-8.3

947

-8.3

229

-8.2

409

-8.1

636

-8.0

950

-8.0

330

-7.9

762

-7.9

150

-7.8

554

95%

-10.

0985

-10.

0169

-9.9

407

-9.8

748

-9.8

210

-9.7

653

-9.7

174

-9.6

749

-9.6

347

-9.5

963

97.5

%-1

1.66

28-1

1.60

01-1

1.55

28-1

1.51

45-1

1.47

72-1

1.41

89-1

1.38

49-1

1.35

16-1

1.3

046

-11.2

684

99%

-13.

6663

-13.

6185

-13.

5828

-13.

5387

-13.

5031

-13.

4833

-13.

4475

-13.

4145

-13.3

780

-13.3

466

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-7.7

967

-7.7

462

-7.6

955

-7.6

514

-7.6

044

-7.5

621

-7.5

137

-7.4

646

-7.4

194

-7.3

700

95%

-9.5

498

-9.5

084

-9.4

674

-9.4

270

-9.3

879

-9.3

475

-9.3

042

-9.2

627

-9.2

200

-9.1

815

97.5

%-1

1.20

39-1

1.18

12-1

1.14

71-1

1.11

53-1

1.07

92-1

1.04

15-1

1.01

08-1

0.97

11-1

0.9

400

-10.9

102

99%

-13.

3275

-13.

3100

-13.

2701

-13.

2466

-13.

2056

-13.

1800

-13.

1598

-13.

1474

-13.1

160

-13.0

906

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-7.3

300

-7.2

847

-7.2

343

-7.1

886

-7.1

449

-7.1

015

-7.0

575

-7.0

193

-6.9

760

-6.9

351

95%

-9.1

404

-9.0

932

-9.0

477

-9.0

144

-8.9

741

-8.9

350

-8.8

948

-8.8

578

-8.8

200

-8.7

774

97.5

%-1

0.87

73-1

0.84

73-1

0.81

29-1

0.77

43-1

0.74

19-1

0.71

21-1

0.67

20-1

0.63

40-1

0.6

016

-10.5

604

99%

-13.

0725

-13.

0414

-13.

0040

-12.

9732

-12.

9343

-12.

9016

-12.

8626

-12.

8263

-12.7

921

-12.7

563

Tab

le36

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rP

arze

nke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

46

Page 47: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

295

-2.4

910

-2.4

538

-2.4

191

-2.3

812

-2.3

485

-2.3

176

-2.2

896

-2.2

633

-2.2

403

95%

-2.8

174

-2.7

661

-2.7

198

-2.6

746

-2.6

316

-2.5

947

-2.5

657

-2.5

447

-2.5

275

-2.5

136

97.5

%-3

.077

2-3

.014

2-2

.960

3-2

.911

1-2

.870

4-2

.840

6-2

.819

5-2

.800

6-2

.7870

-2.7

770

99%

-3.3

593

-3.2

925

-3.2

328

-3.1

919

-3.1

622

-3.1

488

-3.1

303

-3.1

197

-3.1

092

-3.1

021

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.2

224

-2.2

061

-2.1

928

-2.1

805

-2.1

699

-2.1

607

-2.1

538

-2.1

465

-2.1

396

-2.1

332

95%

-2.5

012

-2.4

900

-2.4

791

-2.4

713

-2.4

641

-2.4

581

-2.4

536

-2.4

488

-2.4

449

-2.4

407

97.5

%-2

.768

3-2

.759

0-2

.753

4-2

.749

4-2

.744

7-2

.741

2-2

.737

1-2

.733

2-2

.7297

-2.7

277

99%

-3.0

942

-3.0

905

-3.0

889

-3.0

862

-3.0

836

-3.0

803

-3.0

771

-3.0

750

-3.0

733

-3.0

715

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

279

-2.1

228

-2.1

189

-2.1

150

-2.1

114

-2.1

079

-2.1

051

-2.1

028

-2.1

004

-2.0

988

95%

-2.4

367

-2.4

323

-2.4

283

-2.4

252

-2.4

230

-2.4

208

-2.4

189

-2.4

161

-2.4

137

-2.4

117

97.5

%-2

.725

4-2

.723

1-2

.719

9-2

.717

2-2

.715

2-2

.712

6-2

.710

0-2

.707

8-2

.7062

-2.7

044

99%

-3.0

684

-3.0

664

-3.0

633

-3.0

608

-3.0

583

-3.0

565

-3.0

552

-3.0

549

-3.0

546

-3.0

536

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.0

966

-2.0

943

-2.0

924

-2.0

910

-2.0

891

-2.0

881

-2.0

866

-2.0

862

-2.0

852

-2.0

842

95%

-2.4

105

-2.4

088

-2.4

077

-2.4

056

-2.4

043

-2.4

029

-2.4

019

-2.4

017

-2.3

999

-2.3

997

97.5

%-2

.703

8-2

.703

0-2

.700

9-2

.700

2-2

.698

6-2

.697

3-2

.696

2-2

.694

8-2

.6934

-2.6

928

99%

-3.0

517

-3.0

492

-3.0

472

-3.0

446

-3.0

432

-3.0

421

-3.0

409

-3.0

400

-3.0

386

-3.0

383

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.0

834

-2.0

828

-2.0

825

-2.0

811

-2.0

806

-2.0

806

-2.0

802

-2.0

789

-2.0

780

-2.0

771

95%

-2.3

992

-2.3

987

-2.3

983

-2.3

977

-2.3

976

-2.3

968

-2.3

964

-2.3

962

-2.3

955

-2.3

953

97.5

%-2

.691

2-2

.690

5-2

.689

4-2

.689

1-2

.688

7-2

.688

0-2

.687

1-2

.687

2-2

.6870

-2.6

863

99%

-3.0

378

-3.0

370

-3.0

359

-3.0

345

-3.0

329

-3.0

316

-3.0

304

-3.0

297

-3.0

293

-3.0

288

Tab

le37

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rP

arze

nke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept.

47

Page 48: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

655

-2.9

778

-2.8

969

-2.8

239

-2.7

548

-2.6

936

-2.6

401

-2.5

957

-2.5

599

-2.5

305

95%

-3.3

273

-3.2

220

-3.1

237

-3.0

407

-2.9

702

-2.9

124

-2.8

732

-2.8

413

-2.8

144

-2.7

931

97.5

%-3

.552

4-3

.432

9-3

.323

3-3

.239

4-3

.171

4-3

.129

0-3

.093

1-3

.067

9-3

.0531

-3.0

350

99%

-3.8

278

-3.6

868

-3.5

726

-3.4

967

-3.4

442

-3.4

070

-3.3

737

-3.3

532

-3.3

366

-3.3

244

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.5

049

-2.4

828

-2.4

656

-2.4

482

-2.4

351

-2.4

218

-2.4

110

-2.4

009

-2.3

909

-2.3

828

95%

-2.7

749

-2.7

603

-2.7

451

-2.7

338

-2.7

230

-2.7

130

-2.7

052

-2.6

979

-2.6

919

-2.6

866

97.5

%-3

.019

7-3

.005

3-2

.994

2-2

.985

2-2

.978

0-2

.970

8-2

.965

6-2

.960

8-2

.9584

-2.9

546

99%

-3.3

149

-3.3

079

-3.3

008

-3.2

948

-3.2

931

-3.2

905

-3.2

897

-3.2

878

-3.2

842

-3.2

794

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.3

748

-2.3

666

-2.3

584

-2.3

515

-2.3

453

-2.3

382

-2.3

325

-2.3

275

-2.3

222

-2.3

177

95%

-2.6

801

-2.6

743

-2.6

691

-2.6

647

-2.6

611

-2.6

578

-2.6

531

-2.6

502

-2.6

468

-2.6

437

97.5

%-2

.951

6-2

.949

5-2

.947

7-2

.944

0-2

.941

0-2

.939

9-2

.937

6-2

.935

9-2

.9327

-2.9

309

99%

-3.2

793

-3.2

765

-3.2

744

-3.2

719

-3.2

709

-3.2

692

-3.2

679

-3.2

653

-3.2

646

-3.2

643

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.3

120

-2.3

076

-2.3

032

-2.2

984

-2.2

942

-2.2

906

-2.2

861

-2.2

814

-2.2

777

-2.2

732

95%

-2.6

413

-2.6

387

-2.6

363

-2.6

333

-2.6

300

-2.6

276

-2.6

251

-2.6

227

-2.6

191

-2.6

163

97.5

%-2

.927

4-2

.926

6-2

.925

1-2

.923

5-2

.922

6-2

.918

9-2

.917

2-2

.915

6-2

.9146

-2.9

115

99%

-3.2

633

-3.2

628

-3.2

615

-3.2

603

-3.2

591

-3.2

577

-3.2

585

-3.2

570

-3.2

563

-3.2

565

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.2

696

-2.2

656

-2.2

616

-2.2

577

-2.2

538

-2.2

492

-2.2

453

-2.2

421

-2.2

386

-2.2

351

95%

-2.6

143

-2.6

116

-2.6

085

-2.6

062

-2.6

023

-2.5

989

-2.5

958

-2.5

932

-2.5

907

-2.5

883

97.5

%-2

.909

4-2

.907

3-2

.905

4-2

.903

5-2

.901

3-2

.899

1-2

.896

5-2

.893

6-2

.8920

-2.8

898

99%

-3.2

566

-3.2

560

-3.2

533

-3.2

520

-3.2

516

-3.2

506

-3.2

507

-3.2

500

-3.2

495

-3.2

484

Tab

le38

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rP

arze

nke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

48

Page 49: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Bohman

Kern

el

49

Page 50: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

7896

-10.

3343

-9.8

787

-9.4

905

-9.1

113

-8.7

716

-8.4

324

-8.1

311

-7.8

637

-7.6

079

95%

-13.

3040

-12.

5968

-11.

9527

-11.

3493

-10.

8122

-10.

3180

-9.8

551

-9.4

565

-9.1

025

-8.7

957

97.5

%-1

5.81

07-1

4.81

99-1

3.90

91-1

3.06

89-1

2.35

90-1

1.70

60-1

1.15

48-1

0.69

44-1

0.3

105

-9.9

755

99%

-19.

0359

-17.

6239

-16.

2494

-15.

0907

-14.

1347

-13.

3380

-12.

7496

-12.

2300

-11.8

561

-11.5

491

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-7.3

673

-7.1

650

-6.9

675

-6.7

842

-6.6

292

-6.4

924

-6.3

757

-6.2

614

-6.1

706

-6.0

973

95%

-8.5

200

-8.3

031

-8.1

068

-7.9

398

-7.7

948

-7.6

681

-7.5

506

-7.4

534

-7.3

654

-7.2

940

97.5

%-9

.693

0-9

.445

1-9

.251

8-9

.098

9-8

.984

0-8

.862

6-8

.757

0-8

.666

3-8

.6068

-8.5

281

99%

-11.

2779

-11.

0931

-10.

9090

-10.

7679

-10.

6346

-10.

5492

-10.

4432

-10.

3525

-10.2

664

-10.1

858

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-6.0

272

-5.9

609

-5.8

988

-5.8

504

-5.8

096

-5.7

772

-5.7

405

-5.7

019

-5.6

754

-5.6

499

95%

-7.2

288

-7.1

660

-7.1

110

-7.0

660

-7.0

199

-6.9

825

-6.9

500

-6.9

130

-6.8

984

-6.8

712

97.5

%-8

.477

0-8

.404

0-8

.348

3-8

.311

9-8

.273

3-8

.236

1-8

.211

2-8

.179

1-8

.1496

-8.1

295

99%

-10.

1494

-10.

0793

-10.

0235

-9.9

884

-9.9

463

-9.9

119

-9.8

897

-9.8

474

-9.8

079

-9.7

924

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.6

258

-5.6

005

-5.5

808

-5.5

630

-5.5

483

-5.5

328

-5.5

225

-5.5

109

-5.5

005

-5.4

965

95%

-6.8

543

-6.8

386

-6.8

191

-6.8

029

-6.7

930

-6.7

843

-6.7

735

-6.7

635

-6.7

533

-6.7

440

97.5

%-8

.118

4-8

.098

4-8

.082

0-8

.073

0-8

.055

8-8

.041

6-8

.031

8-8

.018

5-8

.0142

-8.0

070

99%

-9.7

677

-9.7

555

-9.7

268

-9.7

087

-9.7

020

-9.7

049

-9.6

902

-9.6

844

-9.6

742

-9.6

631

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-5.4

897

-5.4

817

-5.4

784

-5.4

783

-5.4

720

-5.4

717

-5.4

702

-5.4

744

-5.4

737

-5.4

748

95%

-6.7

439

-6.7

373

-6.7

357

-6.7

342

-6.7

374

-6.7

355

-6.7

332

-6.7

346

-6.7

353

-6.7

329

97.5

%-8

.001

3-7

.999

0-7

.989

6-7

.995

4-7

.984

9-7

.989

1-7

.986

4-7

.994

1-7

.9929

-7.9

941

99%

-9.6

611

-9.6

550

-9.6

481

-9.6

526

-9.6

393

-9.6

386

-9.6

392

-9.6

352

-9.6

352

-9.6

331

Tab

le39

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rB

ohm

anke

rnel

(Tw

o-st

epd

etre

nd

ing).

Inte

rcep

t.

50

Page 51: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-17.

1781

-15.

9848

-14.

9463

-13.

9800

-13.

1157

-12.

3627

-11.

6932

-11.

1340

-10.6

523

-10.2

595

95%

-20.

1132

-18.

4861

-16.

9882

-15.

7166

-14.

6738

-13.

8016

-13.

0598

-12.

4650

-11.9

849

-11.6

253

97.5

%-2

2.86

11-2

0.68

29-1

8.83

40-1

7.29

64-1

6.09

87-1

5.09

96-1

4.37

51-1

3.81

65-1

3.3

814

-13.0

371

99%

-26.

2541

-23.

3357

-21.

0799

-19.

2506

-17.

8157

-16.

8216

-16.

1020

-15.

5611

-15.1

341

-14.8

055

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-9.9

296

-9.6

485

-9.4

142

-9.2

085

-9.0

317

-8.8

774

-8.7

510

-8.6

291

-8.5

226

-8.4

307

95%

-11.

3251

-11.

0954

-10.

8878

-10.

7250

-10.

5575

-10.

4319

-10.

3189

-10.

2221

-10.1

426

-10.0

455

97.5

%-1

2.75

11-1

2.51

56-1

2.31

99-1

2.16

85-1

2.01

57-1

1.92

53-1

1.82

66-1

1.75

03-1

1.6

974

-11.6

378

99%

-14.

5407

-14.

3570

-14.

2054

-14.

1091

-13.

9770

-13.

8498

-13.

7642

-13.

7130

-13.6

907

-13.6

361

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-8.3

464

-8.2

606

-8.1

729

-8.1

036

-8.0

340

-7.9

776

-7.9

106

-7.8

471

-7.7

849

-7.7

294

95%

-9.9

679

-9.8

913

-9.8

263

-9.7

787

-9.7

228

-9.6

752

-9.6

285

-9.5

877

-9.5

420

-9.4

909

97.5

%-1

1.58

33-1

1.52

04-1

1.49

75-1

1.43

94-1

1.39

28-1

1.35

59-1

1.31

28-1

1.25

13-1

1.2

062

-11.1

787

99%

-13.

6033

-13.

5570

-13.

5205

-13.

4915

-13.

4406

-13.

4390

-13.

3816

-13.

3519

-13.3

433

-13.2

962

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-7.6

806

-7.6

219

-7.5

774

-7.5

267

-7.4

713

-7.4

240

-7.3

754

-7.3

272

-7.2

736

-7.2

241

95%

-9.4

544

-9.4

099

-9.3

651

-9.3

167

-9.2

759

-9.2

296

-9.1

888

-9.1

348

-9.0

875

-9.0

521

97.5

%-1

1.13

73-1

1.10

52-1

1.06

59-1

1.02

43-1

0.98

03-1

0.94

92-1

0.91

49-1

0.87

90-1

0.8

569

-10.8

088

99%

-13.

2722

-13.

2332

-13.

2023

-13.

1783

-13.

1637

-13.

1295

-13.

0985

-13.

0852

-13.0

281

-12.9

970

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-7.1

774

-7.1

293

-7.0

834

-7.0

368

-6.9

877

-6.9

452

-6.9

010

-6.8

565

-6.8

124

-6.7

657

95%

-9.0

059

-8.9

648

-8.9

201

-8.8

826

-8.8

332

-8.7

924

-8.7

439

-8.6

973

-8.6

558

-8.6

101

97.5

%-1

0.77

82-1

0.74

13-1

0.70

08-1

0.65

77-1

0.61

60-1

0.57

04-1

0.53

40-1

0.49

47-1

0.4

563

-10.4

160

99%

-12.

9663

-12.

9270

-12.

8856

-12.

8543

-12.

8159

-12.

7730

-12.

7527

-12.

7155

-12.6

675

-12.6

252

Tab

le40

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rB

ohm

anker

nel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

and

lin

ear

tren

d.

51

Page 52: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

255

-2.4

857

-2.4

448

-2.4

063

-2.3

691

-2.3

339

-2.3

010

-2.2

719

-2.2

468

-2.2

259

95%

-2.8

139

-2.7

573

-2.7

080

-2.6

612

-2.6

157

-2.5

825

-2.5

535

-2.5

338

-2.5

174

-2.5

043

97.5

%-3

.074

3-3

.005

0-2

.945

8-2

.895

8-2

.856

5-2

.831

3-2

.809

1-2

.790

7-2

.7800

-2.7

687

99%

-3.3

550

-3.2

840

-3.2

225

-3.1

827

-3.1

564

-3.1

399

-3.1

220

-3.1

127

-3.1

037

-3.0

949

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.2

080

-2.1

936

-2.1

799

-2.1

686

-2.1

591

-2.1

523

-2.1

440

-2.1

364

-2.1

303

-2.1

245

95%

-2.4

915

-2.4

793

-2.4

712

-2.4

638

-2.4

574

-2.4

516

-2.4

475

-2.4

434

-2.4

382

-2.4

346

97.5

%-2

.760

8-2

.753

8-2

.750

2-2

.744

3-2

.741

4-2

.736

3-2

.732

2-2

.729

0-2

.7259

-2.7

241

99%

-3.0

922

-3.0

896

-3.0

855

-3.0

826

-3.0

795

-3.0

770

-3.0

748

-3.0

730

-3.0

700

-3.0

680

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

201

-2.1

157

-2.1

119

-2.1

082

-2.1

053

-2.1

026

-2.1

002

-2.0

982

-2.0

956

-2.0

933

95%

-2.4

293

-2.4

255

-2.4

241

-2.4

208

-2.4

185

-2.4

148

-2.4

135

-2.4

113

-2.4

094

-2.4

083

97.5

%-2

.721

3-2

.718

0-2

.715

8-2

.713

0-2

.710

3-2

.708

5-2

.705

9-2

.705

0-2

.7040

-2.7

019

99%

-3.0

646

-3.0

617

-3.0

583

-3.0

578

-3.0

552

-3.0

548

-3.0

542

-3.0

524

-3.0

515

-3.0

494

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.0

913

-2.0

899

-2.0

887

-2.0

873

-2.0

861

-2.0

851

-2.0

843

-2.0

835

-2.0

827

-2.0

821

95%

-2.4

062

-2.4

048

-2.4

041

-2.4

025

-2.4

018

-2.4

003

-2.3

996

-2.3

994

-2.3

988

-2.3

980

97.5

%-2

.700

5-2

.698

8-2

.697

4-2

.696

5-2

.694

6-2

.693

4-2

.692

9-2

.692

3-2

.6902

-2.6

898

99%

-3.0

460

-3.0

439

-3.0

426

-3.0

411

-3.0

402

-3.0

393

-3.0

383

-3.0

378

-3.0

359

-3.0

349

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.0

807

-2.0

801

-2.0

803

-2.0

794

-2.0

780

-2.0

772

-2.0

764

-2.0

760

-2.0

762

-2.0

761

95%

-2.3

978

-2.3

974

-2.3

967

-2.3

965

-2.3

959

-2.3

953

-2.3

950

-2.3

946

-2.3

946

-2.3

946

97.5

%-2

.689

4-2

.689

4-2

.688

6-2

.688

1-2

.687

3-2

.686

8-2

.685

3-2

.684

2-2

.6839

-2.6

834

99%

-3.0

332

-3.0

318

-3.0

316

-3.0

305

-3.0

295

-3.0

294

-3.0

283

-3.0

265

-3.0

257

-3.0

252

Tab

le41

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

ohm

anke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept.

52

Page 53: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

580

-2.9

647

-2.8

802

-2.8

015

-2.7

295

-2.6

664

-2.6

141

-2.5

714

-2.5

379

-2.5

099

95%

-3.3

200

-3.2

053

-3.1

021

-3.0

163

-2.9

452

-2.8

921

-2.8

531

-2.8

228

-2.7

979

-2.7

785

97.5

%-3

.543

4-3

.412

9-3

.299

1-3

.216

0-3

.153

4-3

.110

9-3

.078

6-3

.058

0-3

.0396

-3.0

213

99%

-3.8

155

-3.6

640

-3.5

568

-3.4

754

-3.4

286

-3.3

885

-3.3

617

-3.3

393

-3.3

282

-3.3

155

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.4

852

-2.4

658

-2.4

482

-2.4

337

-2.4

194

-2.4

080

-2.3

962

-2.3

875

-2.3

781

-2.3

690

95%

-2.7

621

-2.7

463

-2.7

336

-2.7

217

-2.7

116

-2.7

021

-2.6

960

-2.6

902

-2.6

836

-2.6

765

97.5

%-3

.007

3-2

.995

2-2

.984

8-2

.976

0-2

.969

4-2

.964

3-2

.959

5-2

.956

5-2

.9535

-2.9

507

99%

-3.3

093

-3.3

008

-3.2

943

-3.2

933

-3.2

905

-3.2

896

-3.2

877

-3.2

819

-3.2

800

-3.2

781

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.3

603

-2.3

531

-2.3

458

-2.3

389

-2.3

324

-2.3

275

-2.3

209

-2.3

159

-2.3

107

-2.3

057

95%

-2.6

707

-2.6

661

-2.6

616

-2.6

581

-2.6

538

-2.6

502

-2.6

461

-2.6

438

-2.6

411

-2.6

383

97.5

%-2

.949

0-2

.944

6-2

.941

7-2

.939

8-2

.938

5-2

.935

6-2

.931

9-2

.930

2-2

.9271

-2.9

266

99%

-3.2

756

-3.2

731

-3.2

717

-3.2

694

-3.2

660

-3.2

648

-3.2

633

-3.2

639

-3.2

638

-3.2

634

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.3

009

-2.2

963

-2.2

923

-2.2

872

-2.2

824

-2.2

781

-2.2

736

-2.2

686

-2.2

646

-2.2

606

95%

-2.6

350

-2.6

315

-2.6

291

-2.6

258

-2.6

232

-2.6

194

-2.6

169

-2.6

145

-2.6

113

-2.6

079

97.5

%-2

.925

2-2

.923

0-2

.920

0-2

.917

2-2

.916

3-2

.915

0-2

.911

2-2

.910

1-2

.9077

-2.9

049

99%

-3.2

614

-3.2

604

-3.2

585

-3.2

584

-3.2

577

-3.2

576

-3.2

569

-3.2

567

-3.2

553

-3.2

545

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.2

561

-2.2

515

-2.2

478

-2.2

437

-2.2

396

-2.2

355

-2.2

320

-2.2

289

-2.2

251

-2.2

216

95%

-2.6

042

-2.6

009

-2.5

969

-2.5

942

-2.5

917

-2.5

885

-2.5

860

-2.5

836

-2.5

810

-2.5

786

97.5

%-2

.902

9-2

.900

0-2

.897

1-2

.894

7-2

.892

0-2

.889

7-2

.886

7-2

.884

7-2

.8826

-2.8

813

99%

-3.2

528

-3.2

528

-3.2

533

-3.2

505

-3.2

503

-3.2

492

-3.2

460

-3.2

437

-3.2

422

-3.2

410

Tab

le42

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rB

ohm

anke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end.

53

Page 54: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Daniell

Kern

el

54

Page 55: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

7063

-10.

1436

-9.6

464

-9.1

559

-8.7

090

-8.3

656

-8.0

346

-7.7

184

-7.4

369

-7.1

773

95%

-13.

2068

-12.

4578

-11.

6969

-10.

9920

-10.

3947

-9.9

027

-9.5

212

-9.1

232

-8.8

144

-8.5

162

97.5

%-1

5.75

36-1

4.59

69-1

3.56

68-1

2.74

34-1

2.02

21-1

1.38

30-1

0.86

15-1

0.43

84-1

0.0

995

-9.7

798

99%

-18.

9763

-17.

3753

-15.

9338

-14.

8844

-14.

0012

-13.

1918

-12.

6497

-12.

1537

-11.7

296

-11.4

133

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-6.9

618

-6.7

625

-6.5

618

-6.3

833

-6.2

338

-6.1

142

-6.0

142

-5.9

325

-5.8

663

-5.8

137

95%

-8.2

507

-8.0

127

-7.7

939

-7.6

218

-7.4

737

-7.3

476

-7.2

418

-7.1

735

-7.1

158

-7.0

591

97.5

%-9

.497

9-9

.211

2-9

.030

9-8

.892

9-8

.780

5-8

.662

5-8

.570

2-8

.506

5-8

.4142

-8.3

586

99%

-11.

1797

-10.

9490

-10.

8313

-10.

6607

-10.

5319

-10.

4473

-10.

3428

-10.

2331

-10.1

383

-10.0

285

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.7

651

-5.7

057

-5.6

638

-5.6

236

-5.5

925

-5.5

613

-5.5

411

-5.5

215

-5.5

086

-5.4

988

95%

-7.0

410

-7.0

097

-6.9

756

-6.9

525

-6.9

231

-6.8

938

-6.8

740

-6.8

569

-6.8

365

-6.8

266

97.5

%-8

.301

3-8

.264

9-8

.232

6-8

.202

7-8

.185

1-8

.169

1-8

.160

7-8

.142

8-8

.1325

-8.1

122

99%

-10.

0278

-10.

0137

-10.

0085

-9.9

899

-9.9

809

-9.9

584

-9.9

539

-9.9

512

-9.9

405

-9.9

155

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.4

882

-5.4

770

-5.4

801

-5.4

792

-5.4

782

-5.4

871

-5.4

910

-5.5

019

-5.5

127

-5.5

291

95%

-6.8

150

-6.7

994

-6.7

871

-6.7

775

-6.7

680

-6.7

553

-6.7

638

-6.7

623

-6.7

755

-6.7

818

97.5

%-8

.090

4-8

.081

0-8

.082

6-8

.071

1-8

.059

8-8

.040

8-8

.037

6-8

.051

2-8

.0626

-8.0

677

99%

-9.8

891

-9.8

313

-9.8

242

-9.8

150

-9.7

718

-9.7

482

-9.7

377

-9.7

331

-9.7

111

-9.7

401

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-5.5

380

-5.5

490

-5.5

606

-5.5

803

-5.5

938

-5.6

135

-5.6

322

-5.6

510

-5.6

728

-5.6

895

95%

-6.7

868

-6.8

034

-6.8

211

-6.8

461

-6.8

700

-6.8

933

-6.9

093

-6.9

328

-6.9

566

-6.9

830

97.5

%-8

.081

9-8

.087

0-8

.113

8-8

.129

3-8

.149

7-8

.174

9-8

.199

0-8

.219

7-8

.2484

-8.2

763

99%

-9.7

512

-9.7

370

-9.7

517

-9.7

732

-9.8

064

-9.8

396

-9.8

844

-9.8

907

-9.9

314

-9.9

715

Tab

le43

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rD

anie

llker

nel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept.

55

Page 56: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

9648

-15.

6067

-14.

4363

-13.

3879

-12.

5177

-11.

7998

-11.

2247

-10.

7034

-10.2

670

-9.8

677

95%

-19.

9323

-18.

0543

-16.

5118

-15.

2468

-14.

2294

-13.

4065

-12.

7701

-12.

1889

-11.7

309

-11.3

611

97.5

%-2

2.66

08-2

0.23

71-1

8.46

71-1

6.92

70-1

5.77

62-1

4.94

35-1

4.20

83-1

3.60

94-1

3.1

705

-12.8

732

99%

-25.

9425

-23.

1500

-20.

8568

-19.

0430

-17.

7701

-16.

8500

-16.

0778

-15.

5081

-15.1

547

-14.8

838

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-9.5

207

-9.2

358

-9.0

486

-8.9

107

-8.7

873

-8.6

693

-8.5

483

-8.4

251

-8.3

236

-8.2

204

95%

-11.

0546

-10.

8156

-10.

6518

-10.

5282

-10.

4495

-10.

3867

-10.

2951

-10.

1911

-10.0

912

-10.0

078

97.5

%-1

2.58

26-1

2.35

17-1

2.19

98-1

2.12

98-1

2.09

27-1

2.07

20-1

2.04

38-1

1.95

93-1

1.8

567

-11.7

560

99%

-14.

5639

-14.

3881

-14.

2673

-14.

1809

-14.

1165

-14.

1333

-14.

1268

-14.

0528

-13.9

667

-13.9

490

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-8.1

101

-8.0

220

-7.9

281

-7.8

560

-7.7

827

-7.7

113

-7.6

182

-7.5

380

-7.4

497

-7.3

601

95%

-9.9

323

-9.8

519

-9.7

867

-9.7

374

-9.6

726

-9.6

167

-9.5

506

-9.4

835

-9.3

931

-9.3

111

97.5

%-1

1.66

74-1

1.58

78-1

1.53

95-1

1.50

88-1

1.46

74-1

1.42

27-1

1.38

42-1

1.33

14-1

1.2

723

-11.1

959

99%

-13.

9177

-13.

8598

-13.

7663

-13.

7140

-13.

7083

-13.

6870

-13.

6833

-13.

6553

-13.5

849

-13.5

466

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-7.2

594

-7.1

612

-7.0

670

-6.9

699

-6.8

747

-6.7

819

-6.6

893

-6.5

990

-6.5

179

-6.4

370

95%

-9.2

217

-9.1

308

-9.0

340

-8.9

301

-8.8

318

-8.7

274

-8.6

260

-8.5

306

-8.4

356

-8.3

527

97.5

%-1

1.12

12-1

1.03

26-1

0.94

00-1

0.84

17-1

0.73

92-1

0.62

42-1

0.52

00-1

0.41

15-1

0.3

146

-10.2

141

99%

-13.

4749

-13.

4086

-13.

3185

-13.

2199

-13.

0997

-12.

9975

-12.

8773

-12.

7515

-12.6

327

-12.5

375

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-6.3

545

-6.2

755

-6.1

953

-6.1

235

-6.0

671

-6.0

027

-5.9

441

-5.8

895

-5.8

446

-5.7

985

95%

-8.2

666

-8.1

807

-8.1

034

-8.0

263

-7.9

566

-7.8

855

-7.8

178

-7.7

523

-7.6

903

-7.6

347

97.5

%-1

0.11

62-1

0.03

06-9

.926

8-9

.839

7-9

.767

4-9

.694

6-9

.630

5-9

.560

2-9

.4986

-9.4

336

99%

-12.

4339

-12.

3201

-12.

1999

-12.

1081

-12.

0526

-11.

9854

-11.

9289

-11.

8350

-11.7

702

-11.7

185

Tab

le44

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rD

anie

llker

nel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

56

Page 57: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

223

-2.4

756

-2.4

309

-2.3

830

-2.3

402

-2.3

054

-2.2

779

-2.2

500

-2.2

281

-2.2

063

95%

-2.8

070

-2.7

512

-2.6

908

-2.6

407

-2.6

050

-2.5

684

-2.5

467

-2.5

247

-2.5

095

-2.4

936

97.5

%-3

.065

3-2

.995

8-2

.933

5-2

.883

7-2

.855

1-2

.827

1-2

.802

8-2

.790

9-2

.7833

-2.7

757

99%

-3.3

505

-3.2

687

-3.2

159

-3.1

893

-3.1

581

-3.1

368

-3.1

328

-3.1

179

-3.1

145

-3.1

125

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.1

862

-2.1

703

-2.1

581

-2.1

456

-2.1

365

-2.1

287

-2.1

210

-2.1

165

-2.1

114

-2.1

082

95%

-2.4

808

-2.4

699

-2.4

637

-2.4

541

-2.4

488

-2.4

453

-2.4

411

-2.4

370

-2.4

334

-2.4

299

97.5

%-2

.765

6-2

.756

5-2

.748

1-2

.743

9-2

.738

1-2

.734

7-2

.733

3-2

.730

2-2

.7280

-2.7

243

99%

-3.1

102

-3.1

100

-3.1

068

-3.1

011

-3.0

962

-3.0

908

-3.0

873

-3.0

887

-3.0

878

-3.0

807

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.1

052

-2.1

018

-2.0

985

-2.0

963

-2.0

945

-2.0

926

-2.0

906

-2.0

882

-2.0

858

-2.0

843

95%

-2.4

243

-2.4

221

-2.4

197

-2.4

180

-2.4

152

-2.4

131

-2.4

117

-2.4

084

-2.4

067

-2.4

043

97.5

%-2

.721

3-2

.718

2-2

.713

0-2

.708

8-2

.705

3-2

.703

0-2

.700

9-2

.698

4-2

.6963

-2.6

940

99%

-3.0

751

-3.0

688

-3.0

673

-3.0

644

-3.0

592

-3.0

560

-3.0

532

-3.0

486

-3.0

452

-3.0

427

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.0

821

-2.0

807

-2.0

788

-2.0

783

-2.0

779

-2.0

775

-2.0

768

-2.0

773

-2.0

777

-2.0

783

95%

-2.4

017

-2.4

010

-2.4

002

-2.3

991

-2.3

979

-2.3

969

-2.3

939

-2.3

932

-2.3

930

-2.3

924

97.5

%-2

.692

6-2

.690

5-2

.689

0-2

.687

9-2

.686

8-2

.685

9-2

.684

6-2

.683

7-2

.6815

-2.6

813

99%

-3.0

390

-3.0

374

-3.0

349

-3.0

312

-3.0

290

-3.0

266

-3.0

263

-3.0

256

-3.0

237

-3.0

218

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.0

781

-2.0

786

-2.0

793

-2.0

805

-2.0

812

-2.0

823

-2.0

839

-2.0

848

-2.0

864

-2.0

872

95%

-2.3

924

-2.3

925

-2.3

936

-2.3

939

-2.3

942

-2.3

953

-2.3

961

-2.3

969

-2.3

984

-2.3

992

97.5

%-2

.681

1-2

.681

0-2

.682

0-2

.681

4-2

.682

8-2

.682

7-2

.682

9-2

.684

2-2

.6844

-2.6

847

99%

-3.0

201

-3.0

197

-3.0

193

-3.0

179

-3.0

177

-3.0

181

-3.0

183

-3.0

179

-3.0

172

-3.0

183

Tab

le45

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rD

anie

llke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept.

57

Page 58: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

455

-2.9

383

-2.8

425

-2.7

580

-2.6

864

-2.6

271

-2.5

765

-2.5

312

-2.4

983

-2.4

681

95%

-3.3

070

-3.1

772

-3.0

706

-2.9

835

-2.9

147

-2.8

665

-2.8

255

-2.7

938

-2.7

726

-2.7

503

97.5

%-3

.535

1-3

.388

6-3

.277

0-3

.191

0-3

.127

8-3

.090

4-3

.059

6-3

.035

5-3

.0124

-3.0

018

99%

-3.7

926

-3.6

427

-3.5

390

-3.4

567

-3.3

993

-3.3

613

-3.3

419

-3.3

253

-3.3

267

-3.3

196

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.4

410

-2.4

211

-2.4

087

-2.3

981

-2.3

907

-2.3

833

-2.3

746

-2.3

660

-2.3

564

-2.3

460

95%

-2.7

321

-2.7

168

-2.7

064

-2.6

996

-2.6

958

-2.6

931

-2.6

920

-2.6

866

-2.6

820

-2.6

727

97.5

%-2

.990

1-2

.983

6-2

.980

1-2

.975

5-2

.974

6-2

.974

4-2

.971

5-2

.969

5-2

.9647

-2.9

593

99%

-3.3

099

-3.3

049

-3.2

962

-3.2

879

-3.2

897

-3.2

916

-3.2

933

-3.2

950

-3.2

945

-3.2

951

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.3

355

-2.3

259

-2.3

186

-2.3

111

-2.3

039

-2.2

965

-2.2

887

-2.2

813

-2.2

743

-2.2

678

95%

-2.6

668

-2.6

613

-2.6

548

-2.6

505

-2.6

449

-2.6

411

-2.6

362

-2.6

319

-2.6

275

-2.6

220

97.5

%-2

.954

4-2

.949

7-2

.944

9-2

.940

5-2

.937

3-2

.933

4-2

.931

2-2

.928

5-2

.9237

-2.9

191

99%

-3.2

916

-3.2

908

-3.2

864

-3.2

843

-3.2

820

-3.2

802

-3.2

791

-3.2

750

-3.2

761

-3.2

747

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

611

-2.2

543

-2.2

475

-2.2

403

-2.2

330

-2.2

253

-2.2

180

-2.2

118

-2.2

044

-2.1

977

95%

-2.6

160

-2.6

094

-2.6

035

-2.5

986

-2.5

933

-2.5

884

-2.5

830

-2.5

772

-2.5

722

-2.5

676

97.5

%-2

.915

0-2

.910

7-2

.905

2-2

.900

4-2

.895

6-2

.891

7-2

.887

2-2

.883

2-2

.8792

-2.8

759

99%

-3.2

729

-3.2

701

-3.2

665

-3.2

645

-3.2

606

-3.2

565

-3.2

518

-3.2

475

-3.2

448

-3.2

399

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.1

917

-2.1

853

-2.1

810

-2.1

769

-2.1

727

-2.1

690

-2.1

652

-2.1

613

-2.1

583

-2.1

559

95%

-2.5

628

-2.5

584

-2.5

536

-2.5

490

-2.5

452

-2.5

395

-2.5

362

-2.5

332

-2.5

314

-2.5

287

97.5

%-2

.871

7-2

.866

9-2

.864

6-2

.860

5-2

.856

4-2

.853

1-2

.850

7-2

.847

1-2

.8454

-2.8

442

99%

-3.2

371

-3.2

326

-3.2

292

-3.2

253

-3.2

207

-3.2

211

-3.2

178

-3.2

164

-3.2

135

-3.2

100

Tab

le46

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rD

anie

llke

rnel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

58

Page 59: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

Quadra

ticSpectra

lKern

el

59

Page 60: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-10.

5405

-9.8

588

-9.2

617

-8.7

032

-8.2

316

-7.8

000

-7.4

482

-7.1

188

-6.8

374

-6.6

090

95%

-12.

9376

-11.

9504

-11.

0550

-10.

2806

-9.6

184

-9.1

009

-8.6

902

-8.3

184

-8.0

418

-7.7

838

97.5

%-1

5.31

72-1

3.86

96-1

2.68

22-1

1.70

63-1

0.95

19-1

0.32

74-9

.847

5-9

.485

9-9

.2028

-8.9

979

99%

-18.

3599

-16.

2782

-14.

5801

-13.

4265

-12.

5749

-11.

9168

-11.

4264

-11.

1219

-10.8

742

-10.6

574

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-6.4

104

-6.2

393

-6.1

007

-5.9

874

-5.8

965

-5.8

238

-5.7

567

-5.6

942

-5.6

513

-5.6

134

95%

-7.6

011

-7.4

402

-7.2

982

-7.1

910

-7.1

065

-7.0

336

-6.9

800

-6.9

388

-6.8

894

-6.8

672

97.5

%-8

.817

8-8

.679

9-8

.563

3-8

.451

6-8

.379

0-8

.316

5-8

.254

5-8

.209

5-8

.1633

-8.1

171

99%

-10.

4876

-10.

3246

-10.

2187

-10.

1369

-10.

0573

-9.9

843

-9.9

269

-9.8

780

-9.8

363

-9.8

252

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-5.5

873

-5.5

570

-5.5

343

-5.5

152

-5.5

028

-5.4

879

-5.4

787

-5.4

744

-5.4

746

-5.4

758

95%

-6.8

495

-6.8

223

-6.8

007

-6.7

868

-6.7

791

-6.7

671

-6.7

523

-6.7

490

-6.7

406

-6.7

301

97.5

%-8

.091

5-8

.074

7-8

.067

3-8

.050

9-8

.039

0-8

.039

4-8

.031

4-8

.014

1-8

.0162

-8.0

175

99%

-9.7

931

-9.7

818

-9.7

770

-9.7

677

-9.7

504

-9.7

358

-9.7

358

-9.7

192

-9.7

146

-9.6

933

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-5.4

738

-5.4

811

-5.4

920

-5.5

012

-5.5

114

-5.5

275

-5.5

362

-5.5

486

-5.5

643

-5.5

813

95%

-6.7

292

-6.7

416

-6.7

448

-6.7

547

-6.7

622

-6.7

732

-6.7

873

-6.8

112

-6.8

377

-6.8

608

97.5

%-8

.018

1-8

.014

2-8

.024

2-8

.027

8-8

.045

4-8

.067

9-8

.079

8-8

.097

2-8

.1166

-8.1

411

99%

-9.6

973

-9.6

784

-9.6

861

-9.7

011

-9.7

355

-9.7

489

-9.7

600

-9.7

540

-9.7

918

-9.8

014

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-5.6

029

-5.6

238

-5.6

396

-5.6

625

-5.6

873

-5.7

114

-5.7

323

-5.7

469

-5.7

677

-5.7

886

95%

-6.8

846

-6.9

019

-6.9

318

-6.9

590

-6.9

786

-7.0

087

-7.0

362

-7.0

638

-7.0

977

-7.1

237

97.5

%-8

.157

0-8

.181

3-8

.213

1-8

.238

2-8

.281

7-8

.302

2-8

.332

4-8

.373

0-8

.4061

-8.4

384

99%

-9.8

374

-9.8

848

-9.9

085

-9.9

498

-9.9

762

-10.

0187

-10.

0530

-10.

0880

-10.1

257

-10.1

709

Tab

le47

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rQ

uad

rati

cS

pec

tral

ker

nel

(Tw

o-st

epd

etre

nd

ing).

Inte

rcep

t.

60

Page 61: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.1

80.2

0

90%

-16.

5453

-14.

8988

-13.

4654

-12.

3114

-11.

3832

-10.

6630

-10.

1062

-9.6

485

-9.2

854

-9.0

038

95%

-19.

2600

-16.

9512

-15.

1744

-13.

8042

-12.

7782

-12.

0072

-11.

4823

-11.

0892

-10.8

068

-10.5

665

97.5

%-2

1.73

35-1

8.86

15-1

6.72

24-1

5.16

80-1

4.11

03-1

3.39

99-1

2.90

85-1

2.53

07-1

2.2

543

-12.0

648

99%

-24.

7027

-21.

1428

-18.

6332

-16.

8731

-15.

8641

-15.

1932

-14.

7531

-14.

4573

-14.1

983

-14.0

223

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.3

80.4

0

90%

-8.7

835

-8.6

130

-8.4

722

-8.3

384

-8.2

222

-8.1

272

-8.0

179

-7.9

229

-7.8

231

-7.7

318

95%

-10.

3655

-10.

2244

-10.

0794

-9.9

780

-9.8

881

-9.8

243

-9.7

466

-9.6

887

-9.6

181

-9.5

383

97.5

%-1

1.92

72-1

1.79

38-1

1.72

08-1

1.64

36-1

1.57

25-1

1.51

99-1

1.45

75-1

1.40

95-1

1.3

384

-11.2

811

99%

-13.

9147

-13.

8225

-13.

7391

-13.

6474

-13.

5854

-13.

5761

-13.

5596

-13.

5360

-13.5

149

-13.4

829

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.5

80.6

0

90%

-7.6

536

-7.5

621

-7.4

778

-7.4

010

-7.3

232

-7.2

396

-7.1

564

-7.0

651

-6.9

717

-6.8

850

95%

-9.4

825

-9.3

997

-9.3

359

-9.2

466

-9.1

900

-9.1

058

-9.0

210

-8.9

403

-8.8

639

-8.7

787

97.5

%-1

1.21

43-1

1.15

00-1

1.09

02-1

1.03

86-1

0.97

38-1

0.91

37-1

0.83

63-1

0.76

82-1

0.6

858

-10.5

999

99%

-13.

3927

-13.

3521

-13.

2922

-13.

2369

-13.

2063

-13.

1472

-13.

0853

-13.

0266

-12.9

565

-12.8

769

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.7

80.8

0

90%

-6.7

941

-6.7

101

-6.6

228

-6.5

337

-6.4

549

-6.3

796

-6.2

989

-6.2

233

-6.1

515

-6.0

915

95%

-8.6

955

-8.6

064

-8.5

197

-8.4

294

-8.3

465

-8.2

652

-8.1

890

-8.1

142

-8.0

415

-7.9

728

97.5

%-1

0.51

57-1

0.43

53-1

0.35

25-1

0.26

39-1

0.18

33-1

0.09

07-1

0.00

21-9

.922

7-9

.8448

-9.7

864

99%

-12.

8101

-12.

7304

-12.

6387

-12.

5480

-12.

4440

-12.

3507

-12.

2632

-12.

1914

-12.1

164

-12.0

415

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.9

81.0

0

90%

-6.0

321

-5.9

775

-5.9

231

-5.8

646

-5.8

111

-5.7

659

-5.7

203

-5.6

749

-5.6

340

-5.5

997

95%

-7.9

002

-7.8

245

-7.7

630

-7.7

011

-7.6

465

-7.5

966

-7.5

503

-7.5

126

-7.4

725

-7.4

364

97.5

%-9

.709

9-9

.642

7-9

.569

6-9

.507

8-9

.462

6-9

.382

7-9

.314

3-9

.275

7-9

.2448

-9.2

033

99%

-11.

9842

-11.

9110

-11.

8569

-11.

7994

-11.

7436

-11.

7061

-11.

6553

-11.

6007

-11.5

449

-11.4

896

Tab

le48

:F

ixed

-bcr

itic

alva

lues

for

coeffi

cien

tte

stfo

rQ

uad

rati

cS

pec

tral

ker

nel

(Tw

o-st

epd

etre

nd

ing)

.In

terc

ept

an

dli

nea

rtr

end

.

61

Page 62: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-2.5

046

-2.4

438

-2.3

835

-2.3

304

-2.2

845

-2.2

455

-2.2

179

-2.1

941

-2.1

744

-2.1

596

95%

-2.7

870

-2.7

086

-2.6

372

-2.5

833

-2.5

447

-2.5

190

-2.4

986

-2.4

827

-2.4

713

-2.4

588

97.5

%-3

.037

6-2

.946

8-2

.875

3-2

.829

7-2

.801

8-2

.779

9-2

.769

3-2

.758

6-2

.7503

-2.7

462

99%

-3.3

147

-3.2

241

-3.1

686

-3.1

431

-3.1

205

-3.1

084

-3.1

025

-3.0

955

-3.0

894

-3.0

859

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.1

458

-2.1

338

-2.1

250

-2.1

175

-2.1

111

-2.1

063

-2.1

013

-2.0

983

-2.0

957

-2.0

920

95%

-2.4

503

-2.4

437

-2.4

352

-2.4

318

-2.4

266

-2.4

239

-2.4

196

-2.4

165

-2.4

130

-2.4

099

97.5

%-2

.737

9-2

.733

7-2

.728

3-2

.722

9-2

.717

8-2

.716

0-2

.713

0-2

.709

3-2

.7051

-2.7

028

99%

-3.0

880

-3.0

812

-3.0

770

-3.0

731

-3.0

689

-3.0

649

-3.0

635

-3.0

612

-3.0

559

-3.0

517

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.0

903

-2.0

879

-2.0

855

-2.0

843

-2.0

833

-2.0

821

-2.0

803

-2.0

788

-2.0

778

-2.0

774

95%

-2.4

078

-2.4

053

-2.4

048

-2.4

032

-2.4

014

-2.4

003

-2.3

986

-2.3

980

-2.3

972

-2.3

965

97.5

%-2

.701

2-2

.699

4-2

.697

2-2

.695

0-2

.693

0-2

.692

6-2

.692

2-2

.690

3-2

.6883

-2.6

860

99%

-3.0

481

-3.0

471

-3.0

440

-3.0

404

-3.0

379

-3.0

353

-3.0

334

-3.0

322

-3.0

314

-3.0

285

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.0

774

-2.0

772

-2.0

766

-2.0

767

-2.0

770

-2.0

782

-2.0

787

-2.0

790

-2.0

795

-2.0

800

95%

-2.3

961

-2.3

951

-2.3

943

-2.3

934

-2.3

931

-2.3

931

-2.3

934

-2.3

934

-2.3

950

-2.3

945

97.5

%-2

.686

3-2

.684

3-2

.683

9-2

.681

9-2

.682

3-2

.682

6-2

.682

2-2

.681

6-2

.6822

-2.6

826

99%

-3.0

270

-3.0

257

-3.0

239

-3.0

228

-3.0

208

-3.0

218

-3.0

217

-3.0

193

-3.0

193

-3.0

190

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.0

815

-2.0

826

-2.0

845

-2.0

864

-2.0

871

-2.0

890

-2.0

907

-2.0

927

-2.0

950

-2.0

962

95%

-2.3

954

-2.3

967

-2.3

977

-2.3

985

-2.3

992

-2.4

000

-2.4

021

-2.4

040

-2.4

053

-2.4

070

97.5

%-2

.683

2-2

.684

4-2

.684

4-2

.685

0-2

.685

8-2

.687

8-2

.689

0-2

.689

8-2

.6917

-2.6

929

99%

-3.0

182

-3.0

180

-3.0

178

-3.0

183

-3.0

181

-3.0

197

-3.0

193

-3.0

191

-3.0

220

-3.0

230

Tab

le49

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rQ

uad

rati

cS

pec

tral

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

t.

62

Page 63: Tables with Critical Values for A Fixed-b Perspective on ... · Tables with Critical Values for A Fixed-b Perspective on the Phillips-Perron Unit Root Tests published in: Econometric

0.02

0.04

0.06

0.08

0.10

0.12

0.14

0.16

0.18

0.2

0

90%

-3.0

086

-2.8

768

-2.7

615

-2.6

637

-2.5

893

-2.5

358

-2.4

929

-2.4

596

-2.4

350

-2.4

142

95%

-3.2

608

-3.1

007

-2.9

765

-2.8

912

-2.8

337

-2.7

946

-2.7

683

-2.7

442

-2.7

235

-2.7

081

97.5

%-3

.477

2-3

.300

4-3

.176

3-3

.106

1-3

.064

0-3

.033

4-3

.013

1-2

.991

7-2

.9779

-2.9

707

99%

-3.7

339

-3.5

507

-3.4

458

-3.3

797

-3.3

448

-3.3

237

-3.3

134

-3.3

025

-3.2

985

-3.2

930

0.22

0.24

0.26

0.28

0.30

0.32

0.34

0.36

0.38

0.4

0

90%

-2.3

963

-2.3

829

-2.3

686

-2.3

575

-2.3

481

-2.3

384

-2.3

305

-2.3

214

-2.3

123

-2.3

039

95%

-2.6

971

-2.6

855

-2.6

769

-2.6

695

-2.6

650

-2.6

605

-2.6

577

-2.6

528

-2.6

461

-2.6

401

97.5

%-2

.963

8-2

.960

5-2

.956

0-2

.951

8-2

.947

8-2

.945

6-2

.941

3-2

.937

6-2

.9355

-2.9

327

99%

-3.2

885

-3.2

823

-3.2

802

-3.2

761

-3.2

716

-3.2

733

-3.2

758

-3.2

760

-3.2

735

-3.2

701

0.42

0.44

0.46

0.48

0.50

0.52

0.54

0.56

0.58

0.6

0

90%

-2.2

954

-2.2

873

-2.2

805

-2.2

735

-2.2

666

-2.2

591

-2.2

513

-2.2

441

-2.2

369

-2.2

306

95%

-2.6

361

-2.6

311

-2.6

262

-2.6

195

-2.6

145

-2.6

082

-2.6

038

-2.5

993

-2.5

939

-2.5

895

97.5

%-2

.928

3-2

.924

0-2

.919

2-2

.913

6-2

.909

5-2

.907

0-2

.903

1-2

.899

5-2

.8962

-2.8

925

99%

-3.2

688

-3.2

665

-3.2

648

-3.2

633

-3.2

623

-3.2

600

-3.2

583

-3.2

571

-3.2

554

-3.2

504

0.62

0.64

0.66

0.68

0.70

0.72

0.74

0.76

0.78

0.8

0

90%

-2.2

236

-2.2

163

-2.2

099

-2.2

039

-2.1

975

-2.1

921

-2.1

874

-2.1

830

-2.1

784

-2.1

744

95%

-2.5

851

-2.5

802

-2.5

752

-2.5

717

-2.5

664

-2.5

617

-2.5

569

-2.5

516

-2.5

478

-2.5

430

97.5

%-2

.888

3-2

.884

0-2

.878

5-2

.875

1-2

.871

2-2

.868

4-2

.865

3-2

.862

1-2

.8588

-2.8

557

99%

-3.2

469

-3.2

441

-3.2

403

-3.2

378

-3.2

348

-3.2

324

-3.2

290

-3.2

250

-3.2

218

-3.2

198

0.82

0.84

0.86

0.88

0.90

0.92

0.94

0.96

0.98

1.0

0

90%

-2.1

708

-2.1

663

-2.1

633

-2.1

593

-2.1

564

-2.1

540

-2.1

517

-2.1

492

-2.1

468

-2.1

454

95%

-2.5

402

-2.5

366

-2.5

333

-2.5

310

-2.5

288

-2.5

264

-2.5

246

-2.5

236

-2.5

227

-2.5

216

97.5

%-2

.852

4-2

.849

9-2

.848

2-2

.846

0-2

.843

6-2

.842

4-2

.840

0-2

.838

7-2

.8375

-2.8

363

99%

-3.2

196

-3.2

177

-3.2

146

-3.2

139

-3.2

108

-3.2

075

-3.2

054

-3.2

044

-3.2

043

-3.2

033

Tab

le50

:F

ixed

-bcr

itic

alva

lues

for

t-te

stfo

rQ

uad

rati

cS

pec

tral

kern

el(T

wo-

step

det

ren

din

g).

Inte

rcep

tan

dli

nea

rtr

end

.

63