### Homework
STOR 831, Fall 2009

###

Assignment
1

Reading:
Dembo and Zeitouni, Chapters 1 and 2.2. Look briefly at section
2.3.

Assignment 2

Reading: Dembo and Zeitouni, Chapter 3.2 and 4.2.1.

Assignment 3

Reading:
Barbour, Holst and Janson, Chapter 1

Look at ``Poisson Approximation and the Chen-Stein Method'', by
Arratia, Goldstein and Gordon, Statistical Science v.5, pp.403-434, 1990

Assignment
4

Reading: Barbour, Holst and Janson, Sections: 2.1, 4.1-4.3, 8.4

Assignment
5

Reading: Concentration Inequalities with Applications (CIA), by
Boucheron, Lugosi and Massart

Chapter 1.1-1.4, 1.7-1.9, 1.11

Chapter 2.1-2.3

Assignment
6

Reading: Concentration Inequalities with Applications (CIA), by
Boucheron, Lugosi and Massart

Chapter 3.1-3.3, look over 3.4, 3.8-3.9, 3.12

Assignment
7

Reading: Concentration Inequalities with Applications (CIA), by
Boucheron, Lugosi and Massart

Chapter 4.1-4.2, 4.4-4.5, look over 4.6, 5.1, 5.3-5.4, 5.6-5.7, look
over 5.10-5.11

Assignment
8

Reading:

Chapter 6 of Durrett, ``Probability: Theory and Examples'' (4rd
Edition).

Walters, ``An Introduction to Ergodic Theory'', look over Chapter 0,
read Chapter 1

(You may skip over material on Groups and Hilbert Spaces if you like,
but you

are encouraged to give this a little thought and try some background
reading if

that is appropriate.)

Assignment
9