| m阶非齐次马氏信源的一类Shannon-Mcmillan定理 |
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| 引用本文： | 王康康,李芳.m阶非齐次马氏信源的一类Shannon-Mcmillan定理[J].江苏科技大学学报(社会科学版),2009,23(2). |
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| 作者姓名： | 王康康 李芳 |
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| 作者单位： | 王康康,Wang Kangkang(江苏科技大学,数理学院,江苏,镇江,212003);李芳,Li Fang(安徽师范大学,数学计算机科学学院,安徽,芜湖,241000)
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| 基金项目： | 江苏省教育厅自然科学基金 |
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| 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.
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| 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-order nonhomogeneous Markov information source |
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| Wang Kangkang,Li Fang.A class of Shannon-Mcmillan theorems for m-order nonhomogeneous Markov information source[J].Journal of Jiangsu University of Science and Technology:Natural Science Edition,2009,23(2). |
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| Authors: | Wang Kangkang Li Fang |
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| Institution: | Wang Kangkang1,Li Fang2 |
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| Abstract: | 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. |
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| Keywords: | Shannon-Mcmillan theorem compatible distribution m-order Markov information source non-memory information source relative entropy density |
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