arXiv · math/0404231
A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains
Abstract
In 1956, Dobrushin proved a definitive 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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Sunder Sethuraman, S. R. S. Varadhan. 2004-04-12. A martingale proof of Dobrushin's theorem for non-homogeneous Markov chains. https://arxiv.org/abs/math/0404231
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