MATH 407 - Mathematical Statistics

Topics include probability, calculation of moments (mean and variance), calculation of moment generating functions, principles of statistical inference, distributions of random variables, and the derivation of tests of statistical hypotheses. Emphasis is placed on the understanding of basic concepts, maximum likelihood estimators, minimum variance estimators, sufficient statistics, the derivation of best tests, and the solutions of problems using computer output from realistic data similar to that occurring in common applications. Prerequisite: MATH 218