STATISTICS 611:
INSTRUCTOR: MOULINATH BANERJEE
INSTRUCTOR OFFICE HOURS: Tue & Thurs, 2:30 to 4:00 p.m., 451, West Hall. Class meets Tue & Thurs from 10:00 a.m. to 11:30 a.m, B760, East Hall
GSI AND GRADER INFO: Toshiya Hoshikawa(toshiyah@umich.edu). Office hours: 2:30 to 4:00 pm, Monday.
EXAM SCHEDULE: Midterm: Tuesday, March 3rd in class (we may start earlier than 10:00). Final: Date, time and place to be announced.
Weightage scheme: 5 homeworks carrying 5 points each + midterm carrying 30 points + final carrying 45 points.
TEXT: Keener's lecture notes (relevant chapters 9, 10 and partly 17, 18) + Ferguson's "A Course in Large Sample Theory" + Notes posted below. Other sources to be used now and then are: some of Wellner's notes below + Lehmann and Cassella (Point Estimation) + Lehmann and Romano (Testing Statistical Hypothesis) + Lehmann's "A Course In Large Sample Theory".
CONTENT: Modes of convergence of random variables, convergence in law and CLTs, delta method, asymptotics of maximum likelihood estimation, likelihood ratio statistics, contiguity theory, EM algorithm + other topics.
Invariance of information bounds and influence functions under reparametrization
Homework 3: Problems (a) through (g) from Stat 612 Notes: 0.
Homework 4: Problems 1, 3, 4, 5 from Stat 612 Notes: 2. Due by 4:00 p.m. April 10th, 439 West Hall.
SUPPLEMENTARY NOTES: (courtesy Jon A. Wellner; also available on last semester's 610 webpage)Important distributions in Statistics.
Efficient Likelihood Estimation and Related Tests.
Bayes Methods and Decision Theory.
Statistical Functionals and the Delta Method.
The Bootstrap and the Jackknife.
Sufficiency and Unbiased estimation.
ANNOUNCEMENT: