Statistical Modelling and Applied Probability
The statistics/probability group is active in a wide variety of research fields;
see the individual research pages below. The interaction
and cooperation between the members of the statistical community of the
university and industry is established via the Centre
for Statistics. Members of the group have a strong involvement in
three ARC Centres: The Centre of Excellence for Mathematics and Statistics
of Complex Systems (MASCOS
UQ Branch), the Australian Centre for Complex Systems (ACCS),
and the ARC Centre in Bioinformatics.
For more information follow the links to people's personal web pages.
Automated reasoning and symbolic computation. Stochastic optimisation methods for statistics and operations research. Mathematics and statistics education.
Design and analysis of experiments, optimal design. Computational methods for the design of experiments, industrial experimentation, sampling techniques and surveys.
Cross-Entropy Method, Stochastic Optimization, Advanced Simulation, Markov Samplers, Machine Learning, Applied Probability, Stochastic Processes, Matrix-Analytic Methods, Reliability, Queueing Systems, DNA Sequencing.
Classification, cluster and discriminant analyses, image analysis, machine learning, neural networks, and pattern recognition, finite mixture models, EM algorithm, statistical computation, data mining, bioinformatics, microarrays.
Markov Chains, Probability Theory, Stochastic Modelling in Ecology, Parasitology, Telecommunications, Epidemiology and Chemical Kinetics.
Random processes and fields, excursion sets and extreme value theory, image analysis, reliability, and the modelling and analysis of warranty.
Current Students
- Luminita Baloi, Game theory strategies in the Australian telecommunications industry. Advisors: Michael Bulmer, John Belward.
- David Butler, The design of multi-phase experiments under the linear mixed model. Advisors: John Eccleston, Brian Cullis, Alison Smith.
- Soong Chang, Clustering high-dimensional data. Advisor: Geoff McLachlan.
- Nicholas Denman, Limiting-conditional distributions for continuous-time Markov chains. Advisors: Phil Pollett, Dirk Kroese.
- Gareth Evans, The cross-entropy method and its application to distributed simulation and complex biological systems. Advisors: Dirk Kroese, Jonathan Keith.
- Alison Kelly, Statistical models for two-phase experiments. Advisors: John Eccleston, Brian Cullis, Alison Smith.
- Olena Kravchuk, Trigonometric scores rank procedure with application to long-tailed distributions. Advisors: Phil Pollett, Dirk Kroese.
- James McGree, Optimal design for generalised linear models and non-linear models. Advisors: John Eccleston, Stephen Duffull.
- Katrina Monico, On the use of finite mixture models in medical statistics. Advisor: Geoff McLachlan.
- Sho Nariai, Simultion-based analysis of noisy optimisation problems via the cross-entropy method. Advisors: Dirk Kroese, Michael Bulmer.
- Jeremy O'Reilly, Stochastic and chaotic models of disease dynamics. Advisors: Richard Wilson, Rodney Wolff.
- Joshua Ross, Stochastic models for complex biological systems. Advisors: Phil Pollett, Hugh Possingham.
- Asrul Sani, Spatial-temporal modelling of the spread of HIV/AIDS in heterogeneous populations. Advisors: Dirk Kroese, Phil Pollett.
- David Sirl, Existence and uniqueness criteria for continuous-time Markov chains. Advisors: Phil Pollett, Hanjun Zhang.
- Thomas Taimre, Cross-entropy methods for multi-agent systems. Advisors: Dirk Kroese, Phil Pollett.
- Xi Zhu, Applying data mining techniques to microarray expression data. Advisors: Geoff McLachlan, Shu Kay Ng.