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The Art in the Science of Statistics
at Macquarie University
Protein Structure Prediction from amino acid string to three dimensional
structure
MVLSEGEWQL
Databases
VLHVWAKVEA
DVAGHGQDIL
…
AKYKELCYOG
+
Algorithms
Software
=
Proteins
Developing a sequential protein structure prediction
algorithm
SAINT
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.
1 tulip bulb =
A Farm,
Live stock, or
Life???
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.
These options are called Vanilla type
options ( or, European Options).
Determining Aircraft movement using sound
Aircraft Sonogram
Listen
Compare MI-EL (developed at MU) with other popular
Reconstruction Algorithms in Emission Tomography
iter 8
iter 16
iter 32
iter 64
2500
MI-EL
2000
MEM
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1000
SPS
500
ICA
0
smoothing parameter h = 10-5
The effect of driver’s age on occurrence and size
of motor vehicle insurance claims
Demand for electricity varies by Month, Type and Time of Day
January
February
March
April
May
June
3000
2000
MWh
1000
0
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-2000
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July
22
30
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46
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7
August
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September
14
22
30
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46
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7
October
14
22
30
38
46
1
7
November
14
22
30
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46
38
46
December
Mon
Tue
Wen
Thu
Fri
Sat
Sun
Pub
3000
2000
MWh
1000
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-2000
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46
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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.
Environmental Statistics
An objective is to investigate the relationship between phytoplankton
and their environmental habitat using multivariate statistical methods.
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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.
-2
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Sangdao Wongsai, PhD student, [email protected]
Blue-green algae
Grapharti
Screen shot of Grapharti from ninemsn daily news polls.
Variation in temperature
Birthweight versus Gestational age by Birth outcome
Birthweight versus Gestational age by Method of delivery
stillbirth
6000
6000
normal
normal
caesar
morbid
bwt
birthweight
(g)
5000
5000
other
death
method of
birth outcome
delivery
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1000
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30 age (weeks)
gestational
gage
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Seeing Things?
The artists
Guess
who!