The convergence of the Renyi entropy of the normalized sums of IID random variables
文献类型：期刊论文
| 作者 | Cui, Hongfei1,2; Ding, Yiming1 |
| 刊名 | STATISTICS & PROBABILITY LETTERS
 |
| 出版日期 | 2010-08-01 |
| 卷号 | 80期号:15-16页码:1167-1173 |
| 关键词 | Renyi entropy of order alpha Normalized sum Rate of convergence |
| 产权排序 | 第一 |
| 英文摘要 | We prove that the Renyi entropy of order alpha (alpha > 1) of the normalized sums of IID random variables with continuous differentiable density is convergent to the Renyi entropy of order alpha of the standard Gaussian distribution, and obtain the corresponding rates of convergence. (C) 2010 Elsevier B.V. All rights reserved. |
| 学科主题 | 偏微分方程 |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Statistics & Probability |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | CENTRAL-LIMIT-THEOREM ; FISHER INFORMATION ; INEQUALITIES ; MONOTONICITY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000279451600003 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/2054]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 10049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cui, Hongfei,Ding, Yiming. The convergence of the Renyi entropy of the normalized sums of IID random variables[J]. STATISTICS & PROBABILITY LETTERS,2010,80(15-16):1167-1173. |
| APA | Cui, Hongfei,&Ding, Yiming.(2010).The convergence of the Renyi entropy of the normalized sums of IID random variables.STATISTICS & PROBABILITY LETTERS,80(15-16),1167-1173. |
| MLA | Cui, Hongfei,et al."The convergence of the Renyi entropy of the normalized sums of IID random variables".STATISTICS & PROBABILITY LETTERS 80.15-16(2010):1167-1173. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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