Mathematical Statistics

Catalog description

A one-semester basic introduction to mathematical statistics and inference which will cover the learning objectives for Society of Actuaries Exam P. Topics include: concepts of random sampling, statistical inference and sampling distribution, methods of estimation and the main properties of estimators. Methods include matching moments, percentile matching, maximum likelihood, least squares. Properties studied include: bias, variance, mean squared error, consistency, efficiency, and UMVUE. Confidence intervals for unknown parameters, including the mean, differences of two means, variances, and proportions. Hypothesis testing including: Neyman-Pearson lemma, significance and power, likelihood ratio test, and information criteria. Testing for mean, variance, contingency tables, and goodness-of-fit. (This course is calculus-based)