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GS01 1083   Mathematical Statistics I

Cook, John. Three semester hours. Spring annually. Prerequisite: Advanced undergraduate course in probability and statistics (300 level); probability theory and the central concepts and methods of statistics

A review of probability theory, including generating functions, common families of distributions, multivariate distributions, and hierarchical modeling. Foundations of statistical inference, including sampling distributions, principles of data reduction, maximum likelihood methods, point and interval estimation, hypothesis testing, and decision theory. Applications to advanced statistical problem sets.