RATE OF CONVERGENCE AND EXPANSION OF RENYI ENTROPIC CENTRAL LIMIT THEOREM
文献类型：期刊论文
| 作者 | Sun, Jianqiang1,2; Ding, Yiming1,3 |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2015 |
| 卷号 | 35期号:1页码:79-88 |
| 关键词 | Renyi divergence central limit theorem Edgeworth-type expansion rate of convergence |
| 英文摘要 | We obtain the expansion of Renyi divergence of order alpha (0 < alpha < 1) between the normalized sum of IID continuous random variables mid the Gaussian limit under minimal moment conditions via Edgeworth-type expansion. The rate is faster than that of Shannon case, which can be used to improve the rate of convergence in total variance norm. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | FISHER INFORMATION ; INEQUALITIES ; MONOTONICITY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000348487700004 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1512]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Univ Chinese Acad Sci, Wuhan 430071, Peoples R China 3.Chinese Acad Sci, Natl Ctr Math & Interdisciplinary Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Jianqiang,Ding, Yiming. RATE OF CONVERGENCE AND EXPANSION OF RENYI ENTROPIC CENTRAL LIMIT THEOREM[J]. ACTA MATHEMATICA SCIENTIA,2015,35(1):79-88. |
| APA | Sun, Jianqiang,&Ding, Yiming.(2015).RATE OF CONVERGENCE AND EXPANSION OF RENYI ENTROPIC CENTRAL LIMIT THEOREM.ACTA MATHEMATICA SCIENTIA,35(1),79-88. |
| MLA | Sun, Jianqiang,et al."RATE OF CONVERGENCE AND EXPANSION OF RENYI ENTROPIC CENTRAL LIMIT THEOREM".ACTA MATHEMATICA SCIENTIA 35.1(2015):79-88. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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