Jun Shao’s text is designed for mathematics and statistics graduate students. It bridges the gap between basic probability and advanced theoretical research. Core Topics Covered
Shao provides a thorough treatment of testing and interval estimation, focusing on: The Neyman-Pearson Lemma for optimal tests. Uniformly Most Powerful (UMP) tests and UMP unbiased tests. Likelihood Ratio Tests (LRT). Construction of confidence intervals and regions. 5. Nonparametric and Asymptotic Inference Moving beyond parametric models, the text covers: mathematical statistics jun shao pdf free
Measure theory, asymptotic distributions, and conditional expectations. Jun Shao’s text is designed for mathematics and