2007Shuxue de shijian yu renshiRequires access

The Central Limit Theorem for Function of Markov Chains in Markovian Environments

Zhu Dong-jin

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Abstract

The properties of Markov chains in Markovian environments are discussed and a central limit theorem for function of countable Markov chains in Markovian environments is established.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.

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What this paper is about

The properties of Markov chains in Markovian environments are discussed and a central limit theorem for function of countable Markov chains in Markovian environments is established.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.

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Available abstract

The properties of Markov chains in Markovian environments are discussed and a central limit theorem for function of countable Markov chains in Markovian environments is established.Moreover,some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given.

Key concepts: Markov chain, Examples of Markov chains, Markov process, Markov chain mixing time, Mathematics, Markov kernel, Markov renewal process, Markov property

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