一类非齐次树上非齐次马氏信源的定理Shannon-McMillan  

Shannon-McMillan theorem of non-homogeneous Markov information source on a non-homogeneous tree

作　　者：金少华[1] 吕洁[1] 

机构地区：[1]河北工业大学理学院,天津300401

出　　处：《河北工业大学学报》2012年第2期19-22,共4页Journal of Hebei University of Technology

基　　金：河北省教育厅科学研究计划(Z2008308)

摘　　要：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Shan-non-McMillan定理.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.

关 键 词：非齐次树 鞅差序列 马氏信源 SHANNON-MCMILLAN定理 

分 类 号：O211.4[理学—概率论与数理统计]