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.
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页码：183 / 198
页数：16
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