The purpose of this paper is to present a new strong limit theorem and its extension on the frequency of m-tuple of states for arbitrary countable non-homogeneous Markov chains.

• 摘要给出关于可列非齐次马尔可夫链M元状态序组出现频率的一个新形式的强极限定理及其推广，所得结论对任意可列非齐次马尔可夫链普遍成立。