Math 494 Schedule - Spring 2022

Instructor: Likai Chen (likai.chen[at]wustl.edu)

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

Week Topic Chapters Homeworks Handouts
Week 1: MLK, 01/19, 01/21 Review of MGFs, Special distributions Chapter 3.5,3.6
Lecture1: Special distributions
Randomnum.R
Week 2: 01/24, 01/26, 01/28 Introduction to statistical inference: estimation Chapter 4.1 Lecture2:IntroToInference
Week 3: 01/31, 02/02, 02/04 Confidence intervals, hypothesis testing Chapter 4.2
Week 4: 02/07, 02/09, 02/11 Hypothesis testing (Z-test, t-test, F-tests) Chapter 4.5,4.6
Week 5: 02/14, 02/16, 02/18 Chisquare Test, ordered statistics Chapter 4.7 Chisquaretest
Week 6: 02/21, 02/23, 02/25 review session Chapter 4.4 4.8 1st Midterm
2019 spring midterm
2019 spring midterm solution
Week 7: 02/28, 03/02, 03/04 Convergence Chapter 5.1,5.2 Convergence
Week 8: 03/07,03/09,03/11 Convergence,CLT Chapter 5.2,5.3
Week 9: Break
Week 10: 03/21,03/23,03/25 MLE, Rao-Cramer LectureNote.1021
LectureNote.1023
LectureNote.1025
Week 11: 03/28,03/30, 04/01 Rao-Cramer, Likelihood Ratio Tests Chapter 6.2, 6.3, 6.4 LectureNote.1028
LikelihoodRatioTest
Tests
Week 12: 04/04,04/06,04/08 Likelihood Ratio Tests, Review of 2nd midterm Chapter 6.3, 6.4,7.2 2nd Midterm Practice exam
Practice exam solution
Week 13: 04/11,04/13, 04/15 Sufficient statistics, Sufficiency Chapter 7.2,7.3
LectureNote.1104
LectureNote.1106
LectureNote.1108
Week 14: 04/18,04/20,04/22 Sufficiency continue Chapter 7.4-7.7 LectureNote.1120
LectureNote.1122
Week 15: 04/25, 04/27, 04/29 UMVUE,UMP Chapter 7.1,7.3, 8.1-8.3 LectureNote.1125
LectureNote.1202
LectureNote.1202 LectureNote.0426
Week 16: Final Week Final 05/11 10:30 a.m.-12:30 p.m PracticeFinal
PracticeFinal_solution