Limit theorem on a family of infinite joins of hypergroups

被引：0

作者：

Zeuner, H ^{[1
]}

机构：

[1] Univ Lubeck, Math Inst, D-23560 Lubeck, Germany

来源：

HARMONIC ANALYSIS AND HYPERGROUPS | 1998年

关键词：

central limit theorem; domain of attraction Randomized sum; hypergroup join; distribution of Maxima;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (S-n: n is an element of N) be a random walk on the nonnegative integers with the convolution structure of the join of the subhypergroups {0,..., n}. It is shown that (for suitable norming constants a(n) --> 0) a(n)S(n) converges in distribution to a nondegenerate limit if and only if the tail of P-s1 is a regularly, but not slowly, varying function.

引用

页码：243 / 249

页数：3