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
收藏
页码：4369 / 4377
页数：9
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