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| 摘要: |
| 本文研究了离散信源广义熵定理以及随机条件概率的广义调和平均a.s.收敛性,在证明中提出了将Markov不等式、Borel-Cantelli引理和随机条件矩母函数等工具应用于强极限定理的研究的一种途径. |
| 关键词: Markov不等式 Borel-Cantelli引理 广义调和平均 条件矩母函数 熵 |
| DOI： |
| 分类号:O211.4;O236 |
| 基金项目:国家自然科学基金(11071104)资助;安徽省自然科学基金(1308085QF113;1408085MA04)资助;安徽工业大学研究生创新基金(2012089;2013090)资助. |
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| SOME LIMIT THEOREMS FOR DISCRETE INFORMATION SOURCES |
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JIAN Xu,WANG Zhong-zhi
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| Abstract: |
| In this paper,we study the properties of generalized entropy and the conditional probability of random harmonic mean of discrete information sources.By using Markov's inequality,we put forward a new approach of studying strong limit theorem,Borel-Cantelli lemma and conditional moment generating function. |
| Key words: Markov's inequality Borel-Cantelli lemma generalized harmonic mean conditional moment generating function entropy |
