STA357: Stochastic Processes


Spring 2012 Syllabus

Prof:Robert L. Wolpert   wolpert@stat.duke.edu
TA:Anjishnu Banerjee ab229@stat.duke.edu
Class:Tue/Thu 10:05-11:20 Perkins LINK 2-071 #5
WeekTopicReadings
1. Foundations
Jan 12Intro & Wiener Process Einstein 1905 in English or original German
Jan 17-19L2 Sobolev & Brownian Bridge Covariance Notes (pp 13-15)
Jan 24-26O-U, SDEs & Itô's Formula Brownian Motion Notes
Jan 31-02Isotropic Covariance in Rn Covariance Notes (pp 1-12), GP Notes
Feb 07-09Lévy Processes Lévy Notes
Feb 14-16ILM & Truncation Constructions Lévy Notes
Feb 21-23Compensation & Error Bounds Lévy Notes
Feb 28-01Martingales & Models Mod/Comp Notes
Mar 06-08 Spring Break
Mar 13-15Simulating Posterior Dist'ns RJ-MCMC Notes
Mar 20-22Multivariate α-Stable MV α-Stable Notes
Mar 27-29Extremes Extremes Notes
Apr 03-05 SIAM/ASA Meeting
Apr 10-12More on extremes L+T96, L+T97, R02
Apr 17topic reading
Apr 19Conference in RTP: Long-Range Dep., Self-Sim. & Heavy Tails

Copyrighted readings are available on course's sakai site.

Topics mentioned in course blurb were: