General strong convergence for negatively associated random variables

被引：1

作者：

Meng, Yanjiao ^{[1
]}

机构：

[1] China Jiliang Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2019年 / 48卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Borel-Cantelli lemma; Negatively associated; Strong law of large numbers; The three series theorem; 60F15;

D O I：

10.1080/03610926.2018.1459716

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：

For negatively associated (NA) random variables, we obtain two general strong laws of large numbers (SLLN) in which the coefficient of sum and the weight are both general functions. As corollaries, we obtain Marcinkiewicz-type SLLN, the logarithmic SLLN and Marcinkiewicz SLLN for NA random variables.

引用

页码：2206 / 2217

页数：12

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