Date & Time: Thursday, July 28, 2016, 16:00-17:00.
Venue: Ramanujan Hall
Speaker: K. B. Athreya,
Emeritus Professor, Iowa State University
Title: Glivenko Cantelli theorems.
Abstract: The classical version of Glivenko Cantelli thm asserts uniform convergence of the empirical cdf to the true cdf for iid real valued random variables. In this talk we extend that result to regenerative sequences, exchangeable sequences and stationary sequences all with possible delays. We discuss the extension to the vector case. This is based on joint work with Vivek Roy.