Jian Zhang
Abstract
In this paper,the strong convergence for Markov chains in markovian environments are investigated by martingale convergence theorem and known inequalities.Strong laws of large numbers have been established.A class of results which have been known are the particular cases of the results of this paper.
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In this paper,the strong convergence for Markov chains in markovian environments are investigated by martingale convergence theorem and known inequalities.Strong laws of large numbers have been established.A class of results which have been known are the particular cases of the results of this paper.
Key concepts: Markov chain, Law of large numbers, Markov process, Mathematics, Convergence (economics), Martingale (probability theory), Applied mathematics, Balance equation