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The Central Limit Theorem for Markov Chains in Markovian Environments

Mei Guo

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Abstract

In this paper,a central limit theorem for function of countable Markov chains in Markovian environments is investigated.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.At last,R_θ-chains are systematically studied,some sufficient contions for the central limit theorem to hold for function of Markov chains in Markovian environments are obtained.

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What this paper is about

In this paper,a central limit theorem for function of countable Markov chains in Markovian environments is investigated.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.At last,R_θ-chains are systematically studied,some sufficient contions for the central limit theorem to hold for function of Markov chains in Markovian environments are obtained.

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Available abstract

In this paper,a central limit theorem for function of countable Markov chains in Markovian environments is investigated.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.At last,R_θ-chains are systematically studied,some sufficient contions for the central limit theorem to hold for function of Markov chains in Markovian environments are obtained.

Key concepts: Markov chain, Examples of Markov chains, Mathematics, Markov process, Central limit theorem, Limit (mathematics), Markov chain mixing time, Markov kernel

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