Stat 470 syllabus

Statistical Theory

Course Description: A comprehensive introduction to the mathematical foundations of statistics. Sufficient statistics and information. Parameter estimation, maximum likelihood and moment estimation, optimality properties of estimators and confidence intervals. Hypothesis testing, likelihood ratio tests and power functions. Credit for both ST 470 and MA 551 is not allowed.
Prerequisite: MA 451 Minimum Grade of D or MA 550 Minimum Grade of D

Suggested Text: Mathematical Statistics with Applications by Wackerly, et al.,  Seventh Edition, Thompson

Coverage: Chapter 6-10


Learning outcomes: Upon the successful completion of the course a student will:

understand the mathematical hypotheses underlying basic statistical data analysis methods
understand the mathematical structure that define the quality and reliability of basic statistical data analysis methods