A central limit theorem for exchangeable random variables on a locally compact abelian group

被引：0

作者：

Bingham, MS ^{[1
]}

机构：

[1] Univ Hull, Dept Math, Hull HU6 7RX, N Humberside, England

来源：

ARCHIV DER MATHEMATIK | 2000年 / 74卷 / 02期

关键词：

Abelian Group; Limit Theorem; Central Limit; Central Limit Theorem; Compact Abelian Group;

D O I：

10.1007/PL00000416

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A central limit theorem is given for uniformly infinitesimal triangular arrays of random variables in which the random variables in each row are exchangeable and take values in a locally compact second countable abelian group. The limiting distribution in the theorem is Gaussian.

引用

页码：115 / 119

页数：5