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)
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