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Strong law of large numbers for finite Nonhomogeneous Markov chains

Hua Xu, Minggang Wang

Abstract


In this paper, we mainly study the strong law of large numbers for finite nonhomogeneous Markov chains. Through improving the original condition , the strong law of large numbers on the frequencies of occurrence of states and ordered couples of states?entropy density?average random conditional entropy for finite nonhomogeneous Markov chains are obtained. The result in this paper generalizes the former result.

Keywords


Finite nonhomogeneous Markov chains, states, ordered couples of states, entropy density, average random conditional entropy, strong law of large numbers.

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