M4S3 STATISTICAL THEORY II WITH ADVANCED STUDY

Extension and enhancement of statistical theory (year 2 course) to more advanced level.
Asymptotic and Large Sample Theory in Statistics
Central Limit Theorems and Asymptotic Normality
Advanced Hypothesis Testing and Methods of Inference
Extensions to Likelihood Theory: Profile, Adjusted Profile, Partial, Quasi
Expansions. Non-parametric statistics, Robust Statistics. Influence.
Empirical Processes. Advanced Bayesian Theory.
Additional material:
To study an area/a topic identified by the lecturer of technical interest relating to, but extending the M3 syllabus material (e.g. infinitely divisible distributions. Non-parametrics/Bayesian Non-Parametrics, Empirical Processes).