­­­­Mathematics

Statistics 566

Theory of Statistics

Spring 2020

Course Syllabus

Course Homepage

 

session

date

slides/activity

videos

homework

1

16Jan

Introduction 

 Introduction

2

21Jan

Overview 

 Overview 

3

23Jan

 Sufficiency 1

Sufficiency 1 

Homework 1   .tex

4

28Jan

Sufficiency 2

Sufficiency 2 

5

30Jan

 Completeness

 Completeness 

Homework 2   tex

6

4Feb

Method of Moments 

Method of Moments 

7

6Feb

Bias

 Bias

Homework 3   tex

8

11Feb

 Maximum Likelihood

Estimation

 Maximum Likelihood  Estimation  

9

13Feb

 

 

10

18Feb

Maximum Likelihood Estimation II

Maximum Likelihood Estimation II

11

20Feb

Best Estimators 

 Best Estimators

Homework 4  tex

12

25Feb

 Bayes Estimation

 Bayes Estimation

13

27Feb

 Expectation  Maximization Algorithm

 Expectation  Maximization Algorithm

14

3Mar

Exam I 

 

15

5Mar

 Simple Hypothesis I

Simple Hypothesis I

16

17Mar

 

17

19Mar

 Simple Hypothesis II 

 Simple Hypothesis II 

Homework 5  tex

18

24Mar

 Likelihood Ratio Tests

Likelihood Ratio Tests 

19

26Mar

  Likelihood Ratio Tests II

  Likelihood Ratio Tests II

Homework 6 tex 

20

31Mar

t Test

 t Test

21

2Apr

 Multiple Testing

  Multiple Testing

Homework 7 tex 

22

7Apr

 Confidence Intervals

 Confidence Intervals

23

9Apr

Confidence Intervals II

Confidence Intervals II 

Homework 8 tex 

24

14Apr

 Prediction Intervals & Bootstrap

Prediction Intervals & Bootstrap 

25

16Apr

 Credible Intervals

Credible Intervals 

Homework 9 tex 

26

21Apr

 Likelihood Ratio Asymptotics

Likelihood Ratio Asymptotics 

 

27

23Apr

Contingency Tables

Contingency Tables

Homework 10 tex 

28

28Apr

Analysis of Variance 

Analysis of Variance  

 

29

30Apr

Exam II 

 

 

30

5May

 F Statistic

  F Statistic