Poisson limit theorem for countable Markov chains in Markovian environments.

DOI10.1007/BF02438267zbMath1040.60061OpenAlexW2019324248MaRDI QIDQ1418282

Mao-ning Tang, Han-xing Wang, Da-Fan Fang

Publication date: 2003

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02438267

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Cites Work

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• Markov chains in random environments: The case of Markovian environments
• A compound Poisson convergence theorem
• Poisson limit law for Markov chains
• Poisson Limit Law for a Scheme of Sums of Dependent Random Variables
• On the strong law of large numbers for a class of stochastic processes

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