Course Homepage: Fall 2006 (Past Pages: Fall 2002)

Usually Offered: Fall and Summer Semesters

Purpose: To provide a strong foundation in mathematical development of statistical inference methodology.

Current Textbook: Probability and Statistical Inference (7th edition), R. V. Hogg and E. A. Tanis, Prentice Hall, 2006.

 

Topics Covered	Chapters	Time
Statistical hypotheses: Testing means, Neyman-Pearson lemma and best tests, uniformly most powerful tests, likelihood ratio tests	8.2, 8.3, 8.5, 8.9	6 weeks
Best unbiased estimation: Sufficient statistics, asymptotic features of maximum likelihood, the exponential class, Rao-Cramer inequality, UMVU estimators, Rao-Blackwell theorem, completeness	6.3, 6.14; supplements	5 weeks
Other topics in statistical inference: Linear models, ANOVA and multiple comparison procedures, sequential probability ratio test	6.11, 8.7 - 8.9 and supplements	4 weeks

The above textbook and course outline should correspond to the most recent offering of the course by the Statistics Department. Please check the current course homepage or with the instructor for the course regulations, expectations, and operating procedures.  

Contact Faculty: Joshua Tebbs
(Last Updated: July 11, 2008)