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关于m阶非齐次马氏信源的一类Shannon-McMillan定理
引用本文:叶慧,王康康.关于m阶非齐次马氏信源的一类Shannon-McMillan定理[J].数学的实践与认识,2010,40(20).
作者姓名:叶慧  王康康
基金项目:江苏省高校自然科学基础研究项目
摘    要:采用构造相容分布与非负上鞅的方法的研究m阶马氏信源广义相对熵密度的强极限定理,即广义Shannon-McMillan定理.并由此得出若干马氏信源,无记忆信源的随机Shannon-Mcmillan定理.将已有的马氏信源的结果加以推广

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

A Class of Shannon- Mcmillan Theorems for m-th Order Nonhomogeneous Markov Information Source
YE Hui,WANG Kang-kang.A Class of Shannon- Mcmillan Theorems for m-th Order Nonhomogeneous Markov Information Source[J].Mathematics in Practice and Theory,2010,40(20).
Authors:YE Hui  WANG Kang-kang
Abstract:In this paper,a class of strong limit theorems for the generalized relative entropy densities of m-th order nonhomogeneous Markov information source are discussed by constructing the joint distribution and nonnegative super martingales.As corollaries,some Shannon-Mcmillan theorems for Markov information source and non-memory information source are obtained and some results for the discrete information source which have been obtained by author are extended.
Keywords:Shannon-Mcmillan theorem  the compatible distribution  relative entropy density  m-order Markov information source  non-memory information source
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