Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree

摘要

In this paper,we study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for nonsymmetric Markov chain(NSMC) indexed by Cayley tree with any finite states.The asymptotic equipartition properties with almost everywhere(a.e.) convergence for NSMC indexed by Cayley tree are obtained.This article generalizes a recent result.