关于可列非齐次马氏链随机选择的若干强极限定理

Some Strong Limit Theorems on Random Selection for Countable Nonhomogenous Markov Chains

利用鞅方法，研究非齐次马氏链随机选择的若干强极限定理．概率论中随机选择的基本思想是：在０和１两个等可能值的Ｂｅｒｎｏｕｌｌｉ序列中，０与１的排列是完全无规则的，而且想要通过选择子序列来控制稍偏多于０或１也是不可能的．本文利用鞅方法，研究非齐次马氏链随机选择的若干强极限定理．

The meaning of random selection in probability theory is that in Bernoulli's sequences taking values 0 and 1 with equal possibility, the arrangement of 0 and 1 is irregular completely, and it is impossible to make the relative frequency of '1' greater or less then one of '0' by selection.In this paper, some strong limit theorems on random selection for countable nonhomgenous Markov chains is discussed by means of martingle method.