Qualifiers: Statistics

Explore Previous Statistics Qualifying Exams

Statistics: 

Sufficient statistics, uniformly minimum variance unbiased estimates, maximum likelihood, method of moments, Bayes, minimax and least-square estimates, interval estimation, testing simple and composite hypotheses, Neyman-Pearson lemma, sequential tests, Wald's sequential probability ratio test.

Suggested Courses: 

• MATH 60061 / 70061: Mathematical Statistics I
• MATH 60062 / 70062: Mathematical Statistics II

Suggested References: 

• F. J. Bickel and K. A. Doksum, Mathematical Statistics: Basic Ideas and Selected Topics, Holden Day. 
• E. L. Lehmann, Theory of Point Estimation, Wiley Interscience. 
• E. L. Lehmann, Testing Statistical Hypotheses, Wiley Interscience.