关于一类极限定理的信息条件

On the Information Conditions for a Class of Limit Theorems

本文利用相对熵密度的概念讨论 m 值随机变量序列关于给定值出现频率的某些极限性质,所得结果是马氏链关于占据时间的强大数定律的推广.

In this paper,several limit properties of frequency of occurrence of given value for the sequences of m-valued random variables are studied by using of the notion of relative entropy density,and the result form above is an extension of a strong law of large numbers for occupation time of Markov chians.