Homework STOR 654   Fall 2011

Assignment 0: Due 31 August

Reading: Prerequisite material (see course information)

File Solutions

Assignment 1: Due 12 September

Reading: C&B 3.6.1, 2.3, 4.7, 5.4

File Solutions Comments


Assignment 2: Due Friday 30 September by 4pm in the TA's mailbox

Reading:  C&B 3.4, 3.5, 6.1, 6.2.  Look also at Section 1.6 of  Bickel and Doksum

File

Problems 3.28 b-e, 3.29 b-e, 3.30, 3.31, 3.32, 3.33a-c, 3.37, 3.38, *1.49*, 3.41, 3.44, 3.46 (uniform only)

Comments

Assignment 3: Due Friday 15 September by 4pm in TA's mailbox

Comments

Reading:  C&B 5.2, 6.3, 7.1

Problems 6.1, 6.2, 6.3, 6.4, 6.5, 6.9a-c,

6.10 [Hint: Let R be the range of the sample X.  Note that
R has a beta distribution (see Ex 6.217) and that its expectation
ER is independent of theta.  Consider the function R - ER.]

6.12 [Hint: Use Thm 6.2.13 for part a.  For part b use Thm 4.4.3
and Thm 4.4.7] 

6.14, 6.26a,b (use Theorem 6.2.13)

Assignment 4: Due Tuesday 18 October by 4pm in the TA's mailbox

Reading:  C&B 7.2, 7.3

Problems: 7.1, 7.2a, 7.3, 7.4, 7.6, 7.8, 7.22, 7.24

Assignment 5: Due Wednesday 9 November

Reading:  C&B 7.3, 8.1, 8.2

Problems: 7.19 a-b, 7.33, 7.38a [use Corollary 7.3.15], 7.39, 7.41, 7.42 (use method of Lagrange multipliers, or try a direct argument), 7.44, 5.8a (feel free to try part b), 5.9, 5.10 a (hint: use Stein's Lemma 3.6.5), b (use part b of 5.8), c, 7.52a-b, 7.56  

Assignment 6: Due 22 November by 4pm in the TA's mailbox.

Reading:  C&B 8.1-8.3

Problems: 8.5a-b, 8.6a-b, 8.7a, 8.9a, 8.14, 8.18, 8.25, 8.26a, 3.17, 8.35a, 8.37, 8.46a,b,



Assignment 7: Due Thursday 8 December by 4pm in the TA's mailbox

Reading:  C&B 9.1 - 9.3

Problems: 7.62, 7.63, 8.32, 8.49, 8.51, 9.1, 9.2, 9.3a, 9.6a, 9.9, 9.11, 9.12