Remarks on the Central Limit Theorem for Non-convex Bodies

被引：1

作者：

Grupel, Uri ^{[1
]}

机构：

[1] Tel Aviv Univ, IL-69978 Tel Aviv, Israel

来源：

GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR (GAFA) 2011-2013 | 2014年 / 2116卷

基金：

欧洲研究理事会;

关键词：

QUASI-NORMED SPACES; CONVEX-BODIES; INEQUALITY; SUBSPACES;

D O I：

10.1007/978-3-319-09477-9_14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we study possible extensions of the Central Limit Theorem for non-convex bodies. First, we prove a Berry-Esseen type theorem for a certain class of unconditional bodies that are not necessarily convex. Then, we consider a widely-known class of non-convex bodies, the so-called p-convex bodies, and construct a counter-example for this class.

引用

页码：183 / 198

页数：16

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