m阶非齐次马氏信源的一类Shannon-Mcmillan定理  

A class of Shannon-Mcmillan theorems for m-order nonhomogeneous Markov information source

作　　者：王康康[1] 李芳[2] 

机构地区：[1]江苏科技大学数理学院,江苏镇江212003 [2]安徽师范大学数学计算机科学学院,安徽芜湖241000

出　　处：《江苏科技大学学报（自然科学版）》2009年第2期176-178,182,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：江苏省教育厅自然科学基金资助项目(07KJD110048)

摘　　要：采用构造相容分布与非负上鞅的方法研究了m阶马氏信源相对熵密度的强极限定理,由此得出若干马氏信源、无记忆信源的随机Shannon-Mcmillan定理.并将已有的马氏信源的结果加以推广.In order to study relative entropy densities of m-order nonhomogeneous Markov information source, a class of strong limit theorems were discussed by constructing compatible distribution and nonnegative super martingales. As corollaries, some Shannon-Mcmillan theorems for Markov information source and non-memory information source were obtained. Moreover, for discrete information source, some results obtained by authors were extended.

关 键 词：SHANNON-MCMILLAN定理 相容分布 m阶马氏信源 无记忆信源 相对熵密度 

分 类 号：O211.6[理学—概率论与数理统计]