Complete convergence and complete moment convergence for weighted sums of extended negatively dependent random variables

被引：7

作者：

Meng, Bing ^{[1
,2
]}

Wang, Dingcheng ^{[1
]}

Wu, Qunying ^{[2
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Sichuan, Peoples R China

[2] Guilin Univ Technol, Coll Sci, Guilin, Guangxi, Peoples R China

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Extended negatively dependent random variables; complete convergence; complete moment convergence; SEQUENCES; THEOREMS; ARRAYS; LAW;

D O I：

10.1080/03610926.2020.1804587

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：

In this paper, we discuss complete convergence and complete moment convergence results for extended negatively dependent random variables. The obtained theorems not only extend the Baum-Katz type theorem to the case of END random variables, but also improve them.

引用

页码：3847 / 3863

页数：17

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