Stat 422: Mathematical Statistics

Spring 2013

WEEK

Date

Sections in the Book

Homework

Homework Due Date

Information

1

1/28/13

Syllabus, III.3

Chapter III: 1[c, d, l, m, n, o] (U), 2, 6(U), 15 (G), 17, 19[a], 20[a], 28 (G)

Chapter V: 10, 13, 22 (G), 19 (U), 28 (U), 54 (G)

2/06/13

 

1/30/13

III.3

 

 

 

2/01/13

III.3

 

 

 

2

2/04/13

VI.1-VI.2

 

 

 

2/06/13

VI.3

Chapter VI: 4(U), 5(G), 6(G), 8(U), 9, 10, 13(U), 14

2/13/13

       Solutions to Homework Set 1

2/8/13

VI.3

 

 

 

3

2/11/13

VI.3

 

 

 

2/13/13

VI.3, VI.4

Chapter VI: 17 (U), 18[c, d], 19[c, d], 20 (U), 21 (U), 22, 23, 24 (U), 25 (U), 27 (G), 29 (G) ,

Supplementary Problems

2/27/13

       Solutions to Homework Set 2

2/15/13

VI.4

 

 

 

4

2/18/13

Presidents Day --- No Class

2/20/13

VI.4

 

 

 

2/22/13

VI.4, VI.5

 

 

 

5

2/25/13

VII.1, VII.2

 

 

 

2/27/13

VII.2

Chapter VII: 1, 4 (U), 7 (U), 8 (U), 11, 12 [a, b, c. Which estimator is preferred? Justify your answer.] (G), 44 [b, c] (G), 54[b] (G)

3/13/13

       Solutions to Homework Set 3

3/01/13

VII.2

 

 

 

6

3/04/13

VII.2

 

 

       R-codes for Maximizing the Gamma log-likelihood (Using optim, Using nlm and Advanced)

3/06/13

VII.7.1

 

 

       R-codes for Bayesian Estimation of Probability of Success

3/08/13

Mid Term I

 

 

       Reading Assignment for Graduate Students -- Sections VII.4 and VII.5.2

       Solutions to Mid Term I

7

3/11/13

VII.3.2

 

 

 

3/13/13

VII.5.1

Chapter VII: 29[a, b, c, d, e(G)], 30 (G), 32 [a, b, d, e] (U), 35[b] (U), 36 (G), 43[a, b, c] (G), 45 (U), 51 [d, e, f] (U), 52(G)

3/22/13

       Solutions to Homework Set 4

3/15/13

VII.5.1

 

 

       R code for the unbiased estimation and UMVUE examples

       Practice problems for Chapter VII (Point Estimation)

8

3/18/13

VII5.1

 

 

 

3/20/13

Problem solving

 

 

       R code for Graphing and Optimizing the likelihood of the Beta parameters

3/22/13

VII3.3

 

 

 

9

3/25/13

VII.3, Asymptotic Efficiency

 

 

 

3/27/13

VIII.1, VIII.2

Homework 6

4/10/13

       Solutions to Homework Set 5

3/29/13

VIII.2, VIII.3

 

 

 

10

4/01/13

Spring Break (No Classes)

4/03/13

4/05/13

11

4/08/13

VIII.4, VIII.3

 

 

 

4/10/13

VIII.3, VIII.5

Chapter VIII: 5(U), 8 (U), 12 (G), 16, 19 (G), 21 (G), 24 (U), 27

4/22/13

       Solutions to Homework Set 6

       Optimal Confidence Intervals for the Variance of a Normal Distribution

4/12/13

VIII.5

 

 

       R code comparing confidence intervals for probability of success

       Problems for review:

o   Chapter VII: 19[b, c, d], 21 (for part (d) the UMVUE is (n+1)Y_n/n), 28 (G), 31 (G), 34(G), 47 [a (G), b, c, d(G), e, g (G)], 48

o   Chapter VIII: 3 (U), 7 (U), 11 (U), 14 (G), 15, 18 (G, Hint: Read 3.4), 20, 25 (G)

12

4/15/13

VIII.6, IX.1

 

 

 

4/17/13

IX.1,

 

 

       R-code for Power Functions of Randomized and Nonrandomized Tests

       Some Easily Found UMVUEs (Guenther, 1978; for Graduate Students)

4/19/13

Mid Term II

 

 

       Solutions to Mid Term II (Undergraduate, Graduate)

13

4/22/13

IX.1

 

 

 

4/24/13

IX.3.1

Chapter IX: 1[a], 2[a], 4[f] (U), 6[a, b (G)], 8[b, c], 13 (G)

5/01/13

       Solutions to Homework Set 7

4/26/13

IX.3.1

 

 

       R code for graphing the Likelihood-Ratio Statistic of Probability of Success

14

4/29/13

IX3.1, IX.2.2

 

 

 

5/01/13

IX.2.2, IX.3.2

 

 

5/03/13

IX.3.2

Chapter IX: 1[b] (U), 2[b] (U), 5[a, b, c, d, e], 7, 11 (G), 12 (G), 15

5/10/13

 

15

5/06/13

IX.3.2, IX.3.3

 

 

 

5/08/13

IX.4

 

       Solutions to Homework Set 8

5/10/13

IX.4, IX.6

 

 

16

May 15, 2013, 10-12, Final Exam (Solutions)