Original article at: http://www.math.washington.edu/~ejpecp/viewarticle.php?id=1540

A Martingale Proof of Dobrushin's Theorem for Non-Homogeneous Markov Chains

Sunder Sethuraman, Iowa State University, USA
Srinivasa S.R. Varadhan, New York University - Courant Institute, USA

Abstract

In 1956, Dobrushin proved an important central limit theorem for non-homogeneous Markov chains. In this note, a shorter and different proof elucidating more the assumptions is given through martingale approximation.

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Original article at: http://www.math.washington.edu/~ejpecp/viewarticle.php?id=1540