STAT 972 Mathematical Statistics

Prerequisite: STAT 652/CSI 672 or equivalent.

Corequisite: STAT 876/CSI 876 or STAT 971/CSI 971.

Course Description: Focuses on theory of estimation. Includes method of moments, least squares, maximum likelihood, and maximum entropy methods. Details methods of minimum variance unbiased estimation. Topics include sufficiency and completeness of statistics, Fisher information, Cramer-Rao bounds, Bhattacharyya bounds, asymptotic consistency and distributions, statistical decision theory, minimax and Bayesian decision rules, and applications to engineering and scientific problems.

Equivalent to CSI 972

When Offered: Fall