Theory of Statistical Inference

3 units

This course provides a rigorous treatment of mathematical statistics, with emphasis on estimation, hypothesis testing, and large-sample theory. The focus is on theoretical foundations, derivations, and mathematical reasoning underlying classical and modern statistical inference methods. Topics include likelihood-based inference, unbiased estimation, sufficiency and completeness, decision theory, asymptotic theory of estimation and testing, and nonparametric and distribution-free methods. The course is proof-oriented and intended for students with preparation in probability and mathematical analysis.