Math 5062 - Schedule and Homework - Spring 2018

This a temporary schedule and will be updated as the semester goes.

Week Topic Reading Homework and Exam Handouts
Week 1
01/16
01/18

Introduction and Review
Bayes Decisions and Estimators
Chapter 4.1.1-4.1.2  
Week 2
01/23
01/25

Bayes Decisions and Estimators
MCMC
Chapter 4.1.3-4.1.4 HW1 : solution Lecture Notes pdf ; LaTex
Week 3
01/30
02/01

Invariance
Chapter 4.2 HW2 : solution Scribed Lecture Notes pdf ; LaTex
Week 4
02/06
02/08

Invariance
Chapter 4.3 HW3 : solution Scribed Lecture Notes pdf1 ; LaTex 1
Scribed Lecture Notes pdf2 ; LaTex 2
Week 5
02/13
02/15

Minimaxity and Admissibility +MLE
Chapter 4.4 HW4 : solution
Week 6
02/20
02/22
Asymptotic Efficiency of MLE Chapter 4.5 HW5 : solution
Week 7
02/27
03/01
Density Estimation Chapter 5.1 HW6 : solution Lecture Notes on MLE
Week 8
03/06
03/08
Review

Midterm
Week 9 Spring Break  
Week 10
03/20
03/22
Statistical Functionals Chapter 5.2
Week 11
03/27
03/29
Variance Estimation Chapter 5.5 HW7 : solution
Week 12
04/03
04/05
Neyman-Pearson Lemma and UMP Tests Chapter 6.1 HW8 : solution
Week 13
04/10
04/12
UMPU Test
UMPI Test
Chapter 6.2-6.3 HW9 : solution
Week 14
04/17
04/19
Parametric tests: Likelihood based tests
Nonparametric tests: rank tests, Empirical likelihood ratio tests
Chapter 6.3-6.4 HW10 : solution
Week 15
04/24
04/26
Review Chapter 6.2 HW11 : solution
Final Week 05/03    

  • Reading and Problems in textbook are from: Mathematical Statistics, Jun Shao, 2003.
  • Other readings:
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