Statistics

The group is interested in a number of areas of probability and statistics. Statistics is a discipline now used in all areas of the sciences and social sciences and underlies the making of scientific inferences under uncertainty. Probability is the mathematical theory which underlies statistics; it is also used to model physical and biological phenomena. The major strengths of the group are in applied probability and asymptotic methods in statistics, although work in applied statistics, time series and statistical inference is also pursued.

• Probability Theory
  Limit theorems and approximations, occupancy problems, martingale theory, exchangeability, probability inequalities.
• Stochastic Processes
  Stochastic modelling of neural networks, biological modelling, finite and infinite non- negative matrices and their ergodicity, stochastic geometry.
• Asymptotic Methods
  Saddlepoint approximations, limit results for U-statistics and M- estimators, Edgeworth expansions, robustness, randomisation models, wavelets.
• Other Topics
  Time series analysis, resampling methods, generalized linear models, multivariate analysis, non-parametric estimation, power functions and P-values, history of probability and statistics, change-point models.

Dr Marc Raimondo (email: M.Raimondo@maths.usyd.edu.au)