| 任意信源随机和的一类随机Shannon-McMillan定理 |
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| 引用本文： | 王康康,马越.任意信源随机和的一类随机Shannon-McMillan定理[J].大学数学,2008,24(6). |
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| 作者姓名： | 王康康 马越 |
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| 作者单位： | 1. 江苏科技大学,数理学院,江苏,镇江,212003
2. 江苏大学,京江学院,江苏,镇江,212013 |
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| 基金项目： | 江苏省高校自然科学基础研究项目
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| 摘 要： | 采用构造相容分布与非负上鞅的方法研究任意信源随机和相对熵密度的强极限定理,并由此得出若干任意信源,m阶马氏信源,无记忆信源的随机Shannon-Mcmillan定理.将已有的关于离散信源的结果加以推广.
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| 关 键 词： | Shannon-Mcmillan定理 相容分布 任意信源 m阶马氏信源 无记忆信源 相对熵密度 |
A Class of Shannon-Mcmillan Theorems for the Random Sums of Arbitrary Discrete Information Source |
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| WANG Kang-kang,MA Yue.A Class of Shannon-Mcmillan Theorems for the Random Sums of Arbitrary Discrete Information Source[J].College Mathematics,2008,24(6). |
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| Authors: | WANG Kang-kang MA Yue |
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| Abstract: | A class of strong limit theorems for the random relative entropy densities of arbitrary information source are discussed by constructing the joint distribution and nonnegative super martingales.As corollaries,some Shannon-Mcmillan theorems for arbitrary information source,m-order Markov information source and non-memory information source are obtained and some results for the discrete information source which has been obtained by author are extended. |
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| Keywords: | Shannon-Mcmillan theorem the compatible distribution arbitrary information source m-order Markov information source non-memory information source relative entropy density |
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