The convergence of the Renyi entropy of the normalized sums of IID random variables

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	The convergence of the Renyi entropy of the normalized sums of IID random variables
	Cui, Hongfei 1,2; Ding, Yiming 1
刊名	STATISTICS & PROBABILITY LETTERS
	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
内容类型	期刊论文
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.