2013•College MathematicsRequires access

Strong Law of Large Numbers for Asymptotic Circular Markov Chains

Xiaoyan Gao

Abstract

The strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains is studied.Firstly,the definition of asymptotic circular Markov chains is introduced.Then some lemmas are given.Using the strong law of large numbers for asymptotic circular Markov chains on the frequencies of occurrence of states.,the strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains is given and proved,some known results are generalized.

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