Statistics Seminar

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Date/Time:Monday, 28 Mar 2016 from 4:10 pm to 5:00 pm
Location:Snedecor 3105
Cost:Free
URL:stat.iastate.edu
Contact:Denise Riker
Phone:515-294-1076
Channel:Statistics Department
Categories:Lectures
Actions:Download iCal/vCal | Email Reminder
General Glivenko-Cantelli Theorems, Professor Krishna Athreya, Iowa State University, Ames

The classical Glivenko-Cantelli theorem says that for iid rv the empirical cdf converges to the true cdf uniformly on R w.p.1. In this talk we extend this to delayed regenerative sequences, delayed stationary sequences and delayed exchangeable sequences. Then we apply this to irreducible Markov chains admitting a stationary probability distribution with either a countable state space or Harris recurrent Markov chains.

This is of relevance to MCMC methodology. A key tool used is a generalisation of Polya's theorem on convergence of cdfs.

(joint work with Vivek Roy of ISU Statistics)