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302316 (v.1) Statistical Inference 301
Area: Department of Mathematics and Statistics Contact Hours: 4.0 Credits: 25.0 Lecture: 3 x 1 Hours Weekly Tutorial: 1 x 1 Hours Weekly Prerequisite(s): 302315 (v.2) Mathematical Statistics 202 or any previous version
Procedures and properties of estimators - Fisher information, Cramer-Rao bound, consistency, sufficiency and Rao-Blackwell theorem. Hypothesis testing - Neyman-Pearson Lemma likelihood ratio, power function and confidence sets. Bayesian inference and nexus with likelihood. Monte Carlo, Boot-Strap and resampling Methods. Review of matrix algebra-random vectors, mean vectors and covariance matrices. Multivariate normal and its associated distributions.
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