Open Access
2005 A Martingale Proof of Dobrushin's Theorem for Non-Homogeneous Markov Chains
Sunder Sethuraman, Srinivasa Varadhan
Author Affiliations +
Electron. J. Probab. 10: 1221-1235 (2005). DOI: 10.1214/EJP.v10-283

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.

Citation

Download Citation

Sunder Sethuraman. Srinivasa Varadhan. "A Martingale Proof of Dobrushin's Theorem for Non-Homogeneous Markov Chains." Electron. J. Probab. 10 1221 - 1235, 2005. https://doi.org/10.1214/EJP.v10-283

Information

Accepted: 14 September 2005; Published: 2005
First available in Project Euclid: 1 June 2016

zbMATH: 1111.60057
MathSciNet: MR2164043
Digital Object Identifier: 10.1214/EJP.v10-283

Vol.10 • 2005
Back to Top