An Extension of Central Limit Theorem for Randomly Indexed m-Dependent Random Variables

被引：4

作者：

Belloni, Stefano ^{[1
,2
]}

机构：

[1] Ctr Modeling & Simulat Biosci BIOMS, Heidelberg, Germany

[2] Interdisciplinary Ctr Sci Comp IWR, Heidelberg, Germany

来源：

FILOMAT | 2017年 / 31卷 / 14期

关键词：

Central limit theorem; dependent random variables; stationary sequence;

D O I：

10.2298/FIL1714369B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we prove a conjecture of Shang about the sum of a random number N-n of independent random variables. The random number N-n is supposed to converge in probability toward a positive random variable.

引用

页码：4369 / 4377

页数：9

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