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The Art in the Science of Statisticsat Macquarie University
MVLSEGEWQL
VLHVWAKVEA
DVAGHGQDIL
…
AKYKELCYOG
Databases
Algorithms
Software
+ =
Protein Structure Prediction -
from amino acid string to three dimensional structure
SAINT
Proteins
Developing a sequential protein structure prediction algorithm
Mathematical Finance and Statistical Modelling
• 1634: Tulipomania in Netherlands • 1636: The Amsterdam stock exchange issued option contracts allowing tulip bulbs to be purchased for a fraction of the price of a real tulip bulb.
If a future market price of a tulip at option maturity time T, is going to be greater than some value K specified in the contract, then the buyer of the contract gets a payoff ‘Market Price of a bulb at T’ –K ,otherwise the premium paid for the contract is lost.
1 tulip bulb = A Farm,Live stock, or Life???
These options are called Vanilla type options ( or, European Options).
ListenListen
Determining Aircraft movement using sound
Aircraft Sonogram
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Compare MI-EL (developed at MU) with other popular Reconstruction Algorithms in Emission Tomography
MI-EL
MEM
SPS
ICA
iter 8 iter 16 iter 32 iter 64
smoothing parameter h = 10-5
The effect of driver’s age on occurrence and size of motor vehicle insurance claims
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January
MW
h
1 7 14 22 30 38 46
February
1 7 14 22 30 38 46
March
1 7 14 22 30 38 46
April
1 7 14 22 30 38 46
May
1 7 14 22 30 38 46
June
1 7 14 22 30 38 46
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July
MW
h
1 7 14 22 30 38 46
August
1 7 14 22 30 38 46
September
1 7 14 22 30 38 46
October
1 7 14 22 30 38 46
November
1 7 14 22 30 38 46
December
1 7 14 22 30 38 46
MonTueWenThuFriSatSunPub
Demand for electricity varies by Month, Type and Time of Day
Local Correlation plots
This graph displays Seasonality Stationarity Autocorrelation
Interpretation.Stationarity: Splots have similar shapes.Seasonality: Repeating patterns at regular lag intervals.Autocorrelation: High autocorrelation is indicated by brown/red colour. No autocorrelation is indicated by dark blue colour.High autocorrelation is present at regular intervals along both axes.High autocorrelation at regular lags indicates seasonality.High autocorrelation at regular intervals along CO2 axis fluctuations within seasons.
An objective is to investigate the relationship between phytoplankton and their environmental habitat using multivariate statistical methods.
Environmental Statistics
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• The first three principal components explain the overall
abundance of phytoplankton studied and the seasonal patterns
of a particular genus or an assemblage of various genera that
prefer to live in a similar environmental habitat, either in warm
or cool water.
• The study of seven-year temporal patterns of phytoplankton
reveals general patterns of phytoplankton in the reservoir.
Such patterns respond to a certain range of environmental
factors. This range may be used as indication of a change in
phytoplankton composition and abundance. Thus, the
environmental factors associated with a situation where one
organism invades original inhabitants may be identified.
Sangdao Wongsai, PhD student, swongsai@efs.mq.edu.au
Blue-green algae
Variation in temperature
stillbirth
normal
morbid
death
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gestational age (weeks)
birt
hwei
ght
(g)
Birthweight versus Gestational age by Birth outcome
birth outcome
normal
caesar
other
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gage
bwt
Birthweight versus Gestational age by Method of delivery
delivery
method of
Seeing Things?
The artists
Guess who!
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