Mathematical Statistics

(2.5-3 Credit Hours) · Undergraduate

Taught at a host institution. STAT 20100 Inferential Statistics at UCD; Continuous bivariate and multivariate distributions. Covariance and correlation. Chebyshev inequality. Law of Large Numbers Theory of Estimation.Method of moments and maximum likelihood. Point and interval estimationHypothesis Testing. Simple and Composite Hypotheses. Neyman Pearson Lemma and applications. Likelihood ratio tests. Bayesian statistical inference. Loss functions Normal/Normal, Binomial/Beta and Exponential/Gamma models. Probability generating functions. Taught at Trinity - Dublin - ST 1252 Introductin to Statistics II at Trinity College Dublin.On successful completion of this module students should: have a strong grasp of the fundamental statistical ideas of significance tests and confidence intervals, which underpin statistical analysis, be able to apply simple statistical methods to practical problems, be able to explain why statistical methods are so widely applied in both the natural and social sciences, engineering and business, have a sound basis for developing their knowledge of more advanced statistical ideas and methods. Hong Kong University Course Description: Emphasis is on the two major areas of statistical analysis: estimation and hypothesis testing. Through the disciplines of statistical modelling, inference and decision making, students will be equipped with both quantitative skills and qualitative perceptions essential for making rigorous statistical analysis of real-life data.