| 任意信源与马氏信源的比较及若干极限性质 |
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| 引用本文： | 汪忠志,陈文波.任意信源与马氏信源的比较及若干极限性质[J].兰州大学学报(自然科学版),2005,41(2):128-133. |
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| 作者姓名： | 汪忠志 陈文波 |
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| 作者单位： | 安徽工业大学,数理学院,安徽,马鞍山,243002;安徽工业大学,数理学院,安徽,马鞍山,243002 |
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| 基金项目： | Supported by Anhui Higher Education Research Grant(2004Kj069) |
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| 摘 要： | 引入样本散度率概念,即h(P|Q)作为任意信源与马氏信源差异的一种度量,研究了h(P|Q)与频率的强大数定理之间的联系,在适当的条件下,得到h(P|Q)的下界.
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| 关 键 词： | 熵密度 强极限定理 样本散度率 |
The comparison between an arbitrary information source and Markov chains and its limit properties |
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| WANG Zhong-zhi,CHEN Wen-bo.The comparison between an arbitrary information source and Markov chains and its limit properties[J].Journal of Lanzhou University(Natural Science),2005,41(2):128-133. |
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| Authors: | WANG Zhong-zhi CHEN Wen-bo |
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| Abstract: | We introduce the concept sample divergence rate of P relative to Q, i.e. h(P|Q) as a measure of 'dissimilarity' between arbitrary information source and Markov chain, and study the relationship between h(P|Q) and the strong law of large numbers of frequency. Under suitable restricted conditions, we get the lower bound of h(P|Q), |
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| Keywords: | entropy density strong law of large numbers sample divergence rate |
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