Asymptotics for sums of a function of normalized independent sums

被引：2

作者：

Kosinski, Kamil ^{[1
]}

机构：

[1] Univ Warsaw, Wydzial Matemat Informart & Mech, Warsaw, Poland

来源：

STATISTICS & PROBABILITY LETTERS | 2009年 / 79卷 / 04期

关键词：

PRODUCTS;

D O I：

10.1016/j.spl.2008.09.013

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We derive a central limit theorem for sums of a function of independent sums of independent and identically distributed random variables. In particular, we show that previously known result from Rempala and Wesolowski [Rempala, G., Wesolowski, J., 2005. Asymptotics for products of independent sums with an application to Wishart determinants. Statist. Probab. Lett. 74 129-138], which can be obtained by applying the logarithm as the function, holds true under weaker assumptions. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：415 / 419

页数：5

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