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.1VI.2 



2/06/13 
VI.3 
Chapter VI: 4(U), 5(G), 6(G), 8(U), 9, 10, 13(U), 14 
2/13/13 

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) , 
2/27/13 

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 

3/01/13 
VII.2 




6 
3/04/13 
VII.2 


·
Rcodes for
Maximizing the Gamma loglikelihood (Using optim, Using nlm and Advanced) 
3/06/13 
VII.7.1 



3/08/13 
Mid Term I 


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

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 

3/15/13 
VII.5.1 



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 
4/10/13 

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 
·
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, 


·
Rcode
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 

4/26/13 
IX.3.1 


·
R
code for graphing the LikelihoodRatio 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 


5/10/13 
IX.4, IX.6 



16 
May 15, 2013,
1012, Final Exam (Solutions) 