JOINT ST ANDREWS/HIGHLAND RSS GROUP MEETING ON BAYESIAN STATISTICS
Wednesday 7 May
Lecture Theatre C, Mathematical Institute, North Haugh, St Andrews
3.00pm Dr. Robert Aykroyd (University of Leeds)
"A Bayesian approach to inverse problems in medicine,
archaeology and industrial process engineering"
4.30pm Dr. Ruth King (University of Cambridge)
"Integrated Wildlife Populations: A Bayesian Approach"
Tea will be available in the Staff Room between the talks.
The meeting will be followed at 6.30 p.m. by a 2-course meal
at the Doll's House Restaurant in Church Square, St Andrews. The cost
of the meal will be £15 (including coffee and a glass of wine or a
soft drink or a bottle of beer). The menu at this restaurant varies
from week to week; it is hoped that by 2 May the menu for the
relevant week will be displayed on the web at
http://www-maths.mcs.st-and.ac.uk/StatsSeminars/menu.html (Vegetarian
dishes are usually available.) If you intend to come to the meal,
please inform Peter Jupp, preferably by email ([log in to unmask])
before noon on Monday 5 May.
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ABSTRACTS
Dr. Robert Aykroyd (University of Leeds)
"A Bayesian approach to inverse problems in medicine, archaeology and
industrial process engineering"
Many imaging problems can be defined as ill-posed or inverse problems:
that is, either there is no unique solution or the solution does not
depend continuously on the data. For inverse problems to be solved
statistically, prior information must be included: solution based on
the likelihood alone does not yield a stable solution. MCMC
techniques can then be chosen to explore aspects of solutions. This
approach will be described and illustrated using examples from
medical SPECT imaging, archaeological magnetometry and industrial
electrical impedance tomography. These are non-invasive techniques
used to visualise physically inaccessible areas by taking
measurements around the
boundary. Reconstruction can allow improved medical diagnosis, the
importance of potential archaeological sites to be assessed, and
industrial processes to be efficiently monitored and controlled.
Dr. Ruth King (University of Cambridge)
"Integrated Wildlife Populations: A Bayesian Approach"
Within recent years there have been increasing concerns over many
different wildlife populations, resulting in the introduction of
studies to observe these populations. Data may be collected in many
different forms, including for example, capture-recapture data (of
live animals), tag-recovery data (of dead animals), radio-tagging,
location data and/or census data. Often, more than one form of data
may be collected on a single population. With an increasing amount of
data, new techniques need to be designed in order to incorporate all
such information, thus removing incompatible conclusions that may
result from considering the data sets independently, and potentially
increasing the precision of the parameters.
We shall consider in detail the analysis of joint ring-recovery
and census data collected on the British northern lapwing. We shall
consider a Bayesian analysis of the integrated data and discuss the
increased information gained as a result of considering both forms of
data jointly within a single analysis. Additionally, we shall show
how we are able to consider a variety of "exact" models, removing the
usual Normality approximations used to obtain classical estimates of
the parameters.
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Please check http://www-maths.mcs.st-and.ac.uk/StatsSeminars/ shortly
before coming, in case there are last-minute changes.
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Dr. P. E. Jupp
School of Mathematics and Statistics
University of St. Andrews
North Haugh, St. Andrews tel: (44) 1334 463704
Fife, KY16 9SS fax: (44) 1334 463748
Scotland e-mail: [log in to unmask]
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