Mathematics 466

Theory of Statistics

Spring 2008

Course Syllabus

 

 

Week

Dates

Topic

Pages

 

1

17Jan

Introduction and Overview

 

-

 

2

22Jan - 24Jan

Review of Probability I

 

-

 

3

29Jan – 31Jan

Review of Probability II

 

-

 

4

5Feb – 7Feb

Basic Principles

Unbiased Estimation

1-12

13-21

Problem Set 1

5

12Feb – 14Feb

Maximum Likelihood Estimation

21-27

 

6

19Feb – 21Feb

Method of Moments

Sufficient Statistics

31-33

Problem Set 2

7

26Feb - 28Feb

Bayes Estimation

 

36-42

 

8

4Mar – 6Mar

Practice Problems

 

Problem Set 3

Exam 1

9

11Mar – 13Mar

Hypothesis Testing

 

56-67

 

10

18Mar – 20Mar

 

 

Spring Break

11

25Mar – 27Mar

Composite Hypotheses

Uniformly Most Powerful Tests

67-73

 

12

1Apr – 3Apr

Likelihood Ratio Tests

The t Test

80-85

85-91

Problem Set 4

13

8Apr – 10Apr

Goodness of Fit

91-99

 

 

14

15Apr – 17Apr

Linear Regression

 

112-126

 

15

22Apr – 24Apr

Linear Models I

Practice Problems

140-141

Problem Set 5

Exam 2

16

29Apr – 1May

Simulation Techniques

Linear Models II

 

 

17

6May

 

 

Problem Set 6

 

 

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