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1998•Chinese Journal of Applied Probability and StatistiesRequires access

Strong Law of Large Numbers for Functionals of Two Variables of Countable Nonhomogeneous Markov Chains

Weiguo Yang

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Abstract

In this paper, we are to study the strong law of large numbers for functionals of two variables of countable nonhomogeneous Markov chains, and hereby to study the Shannon-NcMillan theorem for nonhomogeneous Markov chains.

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What this paper is about

In this paper, we are to study the strong law of large numbers for functionals of two variables of countable nonhomogeneous Markov chains, and hereby to study the Shannon-NcMillan theorem for nonhomogeneous Markov chains.

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Available abstract

In this paper, we are to study the strong law of large numbers for functionals of two variables of countable nonhomogeneous Markov chains, and hereby to study the Shannon-NcMillan theorem for nonhomogeneous Markov chains.

Key concepts: Mathematics, Markov chain, Countable set, Law of large numbers, Examples of Markov chains, Markov process, Markov chain mixing time, Balance equation

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