Scott S. Emerson, M.D., Ph.D.
Professor of Biostatistics
Department of Biostatistics
University of Washington

Statistical Inference
Review of random variables; transformations, conditional expectation, moment, generating functions, convergence, limit theorems, estimation; Cramer-Rao lower, bound, maximum likelihood estimation, sufficiency, ancillarity, completeness. Rao-Blackwell theorem. Hypothesis testing: Neyman-Pearson lemma, monotone likelihood ratio, likelihood-ratio tests, large-sample theory. Contingency tables, confidence intervals, invariance. Introduction to decision theory.

Syllabus and General Information
   STAT 512 Syllabus (pdf)

Homeworks

  Homework 1
Dudewicz & Mishra: Problems 2.3.5, 2.4.7, 2.4.10, 2.18, 2.33
   Supplemental Problem (pdf)
   Key (pdf)

  Homework 2
Dudewicz & Mishra: Problems 3.18, 3.4.8, 3.5.2, 3.26, 4.2.9, 4.7, 4.14, 4.17, 4.22
   Key (pdf)

  Homework 3
Dudewicz & Mishra: 5.2.6, 5.2.12, 5.2.14, 5.2.16, 5.2.18, 5.2.20
   Supplemental Problems (pdf)
   Key (pdf)

  Homework 4
Dudewicz & Mishra: 5.9, 5.15, 5.16, 5.23
   Supplemental Problems (pdf)
   Key (pdf)

  Homework 5
Dudewicz & Mishra: 5.24, 5.6.2, 5.6.12, 6.1.2, 6.1.4,
   Supplemental Problems (pdf)
   Key (pdf)

  Homework 6
Dudewicz & Mishra: 6.2.1, 6.2.2, 6.2.5, 6.2.11, 6.2.12, 6.2.13
   Key (pdf)

  Homework 7
Dudewicz & Mishra: 6.3.2, 6.3.3, 6.3.5, 6.3.6, 6.3.7, 6.3.11, 6.3.17
   Key (pdf)

  Homework 8
Dudewicz & Mishra: 6.5, 6.11, 6.12, 6.13, 7.1.1, 7.1.7, 7.1.12
   Key (pdf)

  Homework 9
Dudewicz & Mishra: 7.1.8, 7.1.9, 7.1.15, 7.2.1, 7.2.2, 7.2.6, 7.2.12, 7.2.16

Exam Keys
   Final Exam Key (pdf)

©2003-2007 Scott S. Emerson and emersonstatistics.com