非齐次树指标马氏双链转移矩阵的一个强极限性质

A Strong Limit Property for the Transition Matrix of Double Markov chains indexed by a non-homogeneous tree

强极限定理是概率论中的重要问题之一.通过引入广义赌博系统的概念,研究给出了关于非齐次树指标马氏双链转移矩阵的一个强极限定理.

Strong limit theorem is one of the most important problems in probability theory.In this paper,by introducing the concept of generalized gambling systems,a strong limit theorem for the transition matrix of double Markov chains indexed by a non-homogeneous tree is established.