Graduate Course Description
Course Title: | Probability Theory: Stochastic Processes |
Unique Number: | M 385C, CAM 384K (55695) |
Time/Location of Lecture: | MWF 11:00-12:00, RLM 11.176 |
Instructor: | Professor Hans Koch |
Brief description: This is a course in stochastic processes, that is, the study of random functions, or infinitely many random variables. We plan to cover much of Chapters 1-5 in Durrett's book, maybe part of Chapters 6 and 7, and possibly the basics on stochastic differential equations.
Textbook: Richard Durrett, Probability: Theory and Examples, 2nd Edition, Duxbury Press, 1995. (typo list)
Some Other Decent Books:
P. Billingsley, Probability and Measure, Wiley-Interscience, 1995.
L. Breiman, Probability, SIAM, 1992.
K.L. Chung, A Course in Probability Theory, Academic Press, 2001.
W. Feller, An Introduction to Probability Theory and its Applications, Vol II, Wiley, 1968.
A.N. Shiryayev, Probability, Springer Verlag, 1984.
D. Williams, Probability with Martingales, Cambridge University Press, 1991.
Prerequisites: Some familiarity with real analysis and finitely many random variables, but not measure theory.
Consent of Instructor Required?: No
First Day Handout: Here
Homework: Here
Exam: Here
Prof. H. Koch |
RLM 12.152 |
471-8183 |
Email: koch@math.utexas.edu |
Homepage: http://www.math.utexas.edu/users/koch/ |