Poisson limit theorem for countable Markov chains in Markovian environments.
type: Item
instance of: scholarly article
title: Poisson limit theorem for countable Markov chains in Markovian environments.
zbMATH Open document ID: 1040.60061
DOI: 10.1007/BF02438267
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2003-01-01T00:00:00Z
review text: The authors consider a countable Markov chain in a (countable) random environment. Under suitable assumptions they prove a Poisson limit theorem for such a chain by using a Poisson limit theorem for 0-1 valued independent random variables, which is due to B. A. Sevast'yanov. The result obtained generalizes a Poisson limit theorem for finite Markov chains proved by \textit{B. Pitskel} [Ergodic Theory Dyn. Syst. 11, 501--513 (1991; Zbl 0753.60058)].
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60K35
zbMATH DE Number: 2029357
author: Dafan Fang
author: Hanxing Wang
author: Mao-ning Tang
reviewed by: Marius Iosifescu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02438267
OpenAlex ID: W2019324248
description: scientific article; zbMATH DE number 2029357