STAT7032, Spring 2016
Homework 3
Due Wed Feb 10 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes 1.3 1.5, or corresponding materials from textbook.
2. Let f and g be two measurable functions in a common measurable
s

STAT7032, Spring 2016
Homework 2
Name:
Due Wed Jan. 27 in class.
Problems with () are required but no need to hand in.
1. Exercise 1.1.17 from lecture notes.
2. () Read lecture notes Sections 1.1, or corresponding materials in textbook.
3. Let p (0, 1) be

STAT7032, Spring 2016
Homework 5
Due Wed March 14 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes 2.1 2.2, or corresponding materials from textbook.
2. Let X and Y be two non-negative random variables defined on a

STAT7032, Spring 2016
Homework 6
Due Mon March 28 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes 2.3 2.4, or corresponding materials from textbook.
R1
2. () Let f certain measurable function with 0 |f (x)|dx < . L

STAT7032, Spring 2016
Homework 7
Due Mon April 18 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes 3.13.2.
2. Let cfw_Xn nN be i.i.d. standard exponential random variables. That
is, P(X1 > x) = ex , x > 0. Show that

STAT7032, Spring 2016
Homework 1
Name:
Due Wed Jan. 20 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes Sections 1.1, or corresponding materials in textbook.
2. Provide an example of a measure space (, F, ) with a f

STAT7032, Spring 2016
Homework 4
Due Mon Feb 22 in class.
Problems with () are required but no need to hand in.
1. () Read lecture notes 1.6 1.7, or corresponding materials from textbook.
2. Let cfw_am,n m,nN , cfw_n nN be two collections of real numbers