关于非齐次树指标m重马氏信源的一个强极限定理

A Strong Limit Theorem for m-Ordered Markov Information Source Indexed by a Non-homogeneous Tree

强极限定理一直是国际概率论界研究的中心课题之一.本文通过引入相对熵密度偏差的概念和构造非负鞅,给出了关于非齐次树指标m重马氏信源的一个强极限定理.

The strong limit theorem is one of the central issues of the international probability theory.In this paper,by introducing the concept of relative entropy density deviation and constructing a non-negative martingale,a strong limit theorem for m-ordered Markov information source indexed by a non-homogeneous tree is established.