2002Journal of Jiangsu University of Science and TechnologyRequires access

Strong Limit Theorems for Countable Nonhomogeneous Markov Chains

Yang Weiguo

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Abstract

The strong limit theorems for countabl e nonhomogeneous Markov Chains are studied. As corollaries, they get a strong l imit theorem of equitable ratios for countable nonhomogeneous Markov Chains and a strong lim it theorem of equitable ratios of the frequency of occurrence of the couple of s tates for countable nonhomogeneous Markov Chains.

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The strong limit theorems for countabl e nonhomogeneous Markov Chains are studied. As corollaries, they get a strong l imit theorem of equitable ratios for countable nonhomogeneous Markov Chains and a strong lim it theorem of equitable ratios of the frequency of occurrence of the couple of s tates for countable nonhomogeneous Markov Chains.

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Available abstract

The strong limit theorems for countabl e nonhomogeneous Markov Chains are studied. As corollaries, they get a strong l imit theorem of equitable ratios for countable nonhomogeneous Markov Chains and a strong lim it theorem of equitable ratios of the frequency of occurrence of the couple of s tates for countable nonhomogeneous Markov Chains.

Key concepts: Markov chain, Countable set, Mathematics, Limit (mathematics), Examples of Markov chains, Markov chain mixing time, Discrete mathematics, Balance equation

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