Let {Xn, n≥0 } be a Markov chain with state space S= { 1,2,… }, initial distribution and transition matriceswhere pn(i,j)=P(Xn+1 =j |Xn=i). The purpose of this paper is to present a new strong limit theorem on the frequency of m-tuple of states which holds for arbitrary countable non-homogeneous Markov chains by using professor Liu wen's analytical method[1].%给出一个关于可列非齐次马尔可夫链M元状态序组出现频率的新形式的强极限定理,所得结论对任意可列非齐次马尔可夫链普遍成立.
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