Statistiki 1 _ Fulladio 6

7/25/2019 Statistiki 1 _ Fulladio 6

1/37

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:

+

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o)

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to

0

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yro

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>

1).

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d

pe

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ro

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pe

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o.o.

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qpqnlo

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1

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to

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2/37

9.

Atverot

pio

nopotqpqorl

X on6

r4v

Korovopn

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nuxv6trpo

f

@;e)

:

f,e-r/o,

r

>

0,

0

>

0.

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to A.E.

el,oXtorou

lrqKous

pe

o.e.

1

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o

ylo

ro

d owrororlei

oe

c1

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c2 flou

rxovonorouv

ttg

eltorioetg

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'cr'

L-l

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xot

Xz

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N(0,0214).

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eupeOei

q

enopxrlg

o.o.

Kor

xprtoruonorrbvrog

rrlv

vo

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yto

ro

02.

e

't

)

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0

> 0.

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6tt

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T

:

20ILr

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B)

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y)

xotco

gpoylro

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ro

0

pe

o.e.

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14. Aoxr1o47.l5 rou

Br6l,iou.

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wxoto

6eiypo

X

:

(Xr,...,Xn)

qn6

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lre

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x

)

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q

?:

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o64y6g

rot

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xprlolponotcbvrog

rqv

onoOeifte

6tr

rl

orouorrxrl orrap-qoq

g#

onorel,ei A.


3/37

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X1

npo6pXetor

qn6

xovovrxrl xorovoprl

NQe,1)xor

ot

X2,...

,Xn

.

npod,pxovtot

on6 xovovrxq

xotovopiN(0,1).

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enopKq

o.o.

vo

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,

oKEuoo0ei

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el-rnloroo0vns

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ro

d, ouvrelsorou

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t-

llS.lAiveror

pio

noporqpqon,

X,

ond KorovoFrl

pe

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ro

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pe

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o.

-:

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(xt,Xz,,xs),

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tperg

oveloprqres

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-.

nou npodpxovror

on6 uS KovovlKrs

Korovopeg,A/(0,

L),

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N(0

+

1, 1)

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ro

0,

pe

o.e. L

-

a.

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ono

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pa

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> 0.

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4

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f

6):

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6erx0ei

6tr ro

(-'"t';i

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,

_ryP)

eivor

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ioov

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to

d, ouwel,eorou

epnroroo0vqg

1

-

o.

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X

:

(Xr,Xz,Xz),

ono

tperg

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rqporrlpqorrs

X1,X2,X3,

npod,pxovrot

on6 ns

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xotovopeg

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e>0.

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6erX0ei

6u 11

o.o.

T(X)

-

X?

+

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9)

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Bpe0ei

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rppoy;ro

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ylo

ro

d,

ouweleorou

epnroroouvqg

1

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22.

Live:..ar

ruXoto 6etypo

{

:

(Xr,Xz,...,Xe)

on6 xovovxrl

xotovofrq

l/(pr,1)

xor

6eurepo

ruXoio 6eiypo

Y

:

(Y,Y2,.

,.

,

Yro),

oveloptrlro

on6

ro npci:ro,

on6 xovovrxrl

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N(pr,1),

6nou

ro

l.lr,p2

eivot oyvooror

nopoperpor. No

6erX0ei,

ou

r1

ruXoio

peto6l,rltq

EfX

-Y

-

f,

+

pz)

eivor

noo6rqro

o6r1ydg.

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ruXoto

Oeiypo

X

:

(Xr,

, . ,

,

Xn) on6

xo'rovopi

pe

nurcv6r4ro

202

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Bpe0ei

ovc:

gpoypo

epnroroouvrls yro

ro

d, ouvrsleorou

epnroroo0vrlg

1

-

o.

Eov

1.90, 1.03, 1.17,

6.32,

eivor

ruyoto

Eeiypo

n:

4 nopoqp4oeov,

vo

unoloyr-

o0et oe

ourq

r4v

neptntoo4

ro

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gpoyFo

epnroroo0vrls

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to

0,

pe

ouvrel,eor4

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1

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4/37

24. Atvetottuloto

6etypol:

(Xr,Xz,.,,,Xza)

on6 xqvovrxrl xorovoprll/(d+ 1,1)

q)

Nq

6et10et

6rt

11

o.o.

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-

t

etvot enoprrlg

yro

m

d.

F)

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6et10et

6tt ro

(X

-l-0.2.2a/2t

*

-t+O.Z.zolz)

eivot

6tdorrlpo Blrnlorootivrlg

i,oc,rv

oupdlv

y1o

ro

d, ouvreleoror}

epntorooivqs L

-

a,6nou

yto

ro

za12

roluer Q(ro/r)

:

aa

L-i.

y)

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ppe0ei

ovr,l

gpdypo

epnrcnootlvrls

yro

ro 0,

ouvreLeoEot

elrnrorocr0vqs

t

-

A.

26.

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tuXoto 6eiypo

{

:

{Xr,

X2,,

..,

Xro)

on6

xavovrxt'l

xotovol$

N(0

lz,L)

o)

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6rt

q

o.o.

.t

eivat enopxqg

po

rc

g.

F)

tto

6er110ei 6u ro

(2*

-0.5.2,,2X

+O.5.zo)

etvot Otdcnqpo

elrntcnootvrlg ioov

ouprbv

y1o

ro

d, ouvre,leorori epmcnoo0vrlg

L

-

2a,6nou

yto

ro

zo

toltet

O(2")

:

1

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o.


5/37

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10/37

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11/37

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t

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a

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c>o

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aI

nob.

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6ivo-rr

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12/37

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35/37


36/37

ETATI'TIKH

I

Au8

o.

@Oa,

I

ex

rov

npot6po:v

xutavopr{

rou

0

elvul

G(l

+1,

1),

7

)

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va

ppeOet

xqL

vd avayvopuotel

rl

ex

rov

uot6pov

xaravopr{

"(0W).

2'

Xe

cut{v

tr;v

xepintcool,

vq

ppeOei

o

exrr.prry{c

Bayes

rov

0,6rcv

1

ouv&prriol

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e[vsr

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37/37

1.

Kcrtavoprl

Rippa

G(o,0)

l@):

"d?"

*o-L

s-fr,

yLC

r

>

0 E(X):

ag

Fto

o)0,

p>0

Var(X):

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Srou i-(o)

Po

:

[**

,..-r

s-fr d,x

xat

l-(c),:

(o

-

1)r(o

-

1)

Jo

\ / \ / \

/

2. Exlertxil

xcruvoprl

E(0)

:

G(1,0)

3,

Opor,6propgr)

xcrrcrvoVt

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(o,

0)

f

(r)

:

fu,

ytd

a

1x

1

P

E(X):

1rE

a0

Var(X):

l

6.

Kctavop6q

tolv

X(r)

:

min{Xr,. . .

,

Xr},

xd,t

X(")

:

rnax{Xr,...,

Xr}.

/x,,y(r)

:

nl@)ll-

F(r)1"-1,

xcr

lx1,y@)

:

nf

(x)lF(r)la-r

a*9

2

(9-a\z

L2

22

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Statistiki 1 _ Fulladio 6