Honors Statistical Inference

A rigorous introduction to the theory of statistics. Topics covered include elementary decision theory, distribution of the sample mean, point estimation methods and asymptotic properties, the bias variance tradeoff, exponential families, sufficiency and minimal sufficiency, completeness, Lehmann Scheffe, UMVUE and BLUE, Bayes inference, Neyman-Pearson theory, hypothesis testing, most powerful unbiased tests, likelihood ratio tests, confidence sets.