关于树指标有限非齐次马氏链的强极限定理

摘要

研究了树图上有限非齐次马氏链随机转移概率的几何平均强极限定理和有限非齐次马氏链关于状态序偶出现频率的强极限定理.首先给出了一个引理,利用这个引理建立了树上有限非齐次马氏链随机转移概率的强极限定理,给出了树上有限非齐次马氏链关于状态序偶出现频率的用不等式表示的强极限定理.%In this paper, some strong limit theorems relative to the geometric average of random transition probability and the frequencies of occurrence of states for finite nonhomogeneous Markov chains indexed by a tree are studied. First of all,a lemma is given. Using this lemma,some strong limit theorems relative to random transition probability for finite nonhomogeneous Markov chains indexed by a tree are found, and some strong limit theorems relative to the frequencies of occurrence of states with inequality for finite nonhomogeneousMarkov chains indexed by a tree are given.