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