【摘要】 研究了可列m重非齐次马氏链的一个强大数定律.首先给出可列m重非齐次马氏链的定义,然后利用鞅的极限定理再结合遍历系数得到可列m重非齐次马氏链的一个强大数定律,所得结论能够推广已有文献中的一些结果,并对进一步研究多重马氏链提供了理论基础,且能为实际问题如语声、电视信号等多重马尔可夫信源的研究提供理论依据.更多还原

【Abstract】 A strong law of large numbers for mth order countable nonhomogeneous Markov chains was studied.We obtain a strong law of large numbers for mth order countable nonhomogeneous Markov chains by means of the ergodic coefficient and the martingale method which generalize some known results and provide some theretical bases for further studying multi-order markov chains and some practical problems such as voice and television signal which are the practical multi-order markov information sources.更多还原