| 关于微分熵的一类强偏差定理 |
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| 引用本文： | 赵静,魏杰.关于微分熵的一类强偏差定理[J].系统科学与数学,2006,26(6):693-700. |
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| 作者姓名： | 赵静 魏杰 |
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| 作者单位： | 1. 天津工业大学理学院,天津,300160
2. 军事交通学院基础部,天津,300161 |
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| 摘 要： | 利用关于乘积分布密度的相对熵和相对熵率的概念,建立了相依连续型随机变量序列关于参考微分熵的一类强偏差定理,证明中给出了将Laplace变换应用于微分熵强偏差定理的研究的一种途径．
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| 关 键 词： | 微分熵 强偏差定理 相对熵率 Laplace变换 |
| 收稿时间： | 2004-4-14 |
| 修稿时间： | 2004年4月14日 |
A class of strong deviation theorems for theorems for differential entropy |
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| Zhao Jing,Wei Jie.A class of strong deviation theorems for theorems for differential entropy[J].Journal of Systems Science and Mathematical Sciences,2006,26(6):693-700. |
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| Authors: | Zhao Jing Wei Jie |
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| Institution: | (1)School of Science, Tianjin Polytechnic University, Tianjin 300160; (2)Department of Basic Sciences, Military Traffic Institute, Tianjin 300161 |
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| Abstract: | In this paper a class of strong deviation theorems of continuous random variables on the sample entropy is established by using the notion of sample relative entropy rate and relative entropy with respect to reference product distributions. In the proof, an approach of applying the Laplace transform to the investigation of the strong deviation theorems on differential entropy is proposed. |
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| Keywords: | Differential entropy strong deviation theorem relative entropy rate Laplace transform |
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