On the rate of convergence in the entropic central limit theorem

被引：57

作者：

Artstein, S ^{[1
]}

Ball, KM

Barthe, F

Naor, A

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] UCL, Dept Math, London WC1 6BT, England

[3] Univ Toulouse 3, Inst Math, Lab Stat & Probabil, CNRS,UMR C5583, F-31062 Toulouse, France

[4] Microsoft Corp, Res, Theory Grp, Redmond, WA 98052 USA

来源：

PROBABILITY THEORY AND RELATED FIELDS | 2004年 / 129卷 / 03期

关键词：

Entropy; Linear Combination; Limit Theorem; Central Limit; Central Limit Theorem;

D O I：

10.1007/s00440-003-0329-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];

摘要：

We study the rate at which entropy is produced by linear combinations of independent random variables which satisfy a spectral gap condition.

引用

页码：381 / 390

页数：10

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