一类非齐次树上非齐次马氏信源的Shannon-McMillan定理

摘要

In recent years, tree indexed stochastic process has become one of the research directions for studying in the probability theory. The strong law of large numbers has been one of the central issues of the international probability theory. By constructing martingale difference sequences, this paper applies martingale difference sequence convergence theorem to give and prove Shannon-McMillan theorem of non-homogeneous Markov information source on the non-homogeneous tree of module m.%树指标随机过程已成为近年来发展起来的概率论的研究方向之一.强大数定律一直是国际概率论界研究的中心课题之一,本文通过构造鞅差序列,应用鞅差序列收敛定理给出了模m的非齐次树上非齐次马氏信源的Shannon-McMillan定理.