Complete convergence for weighted sums of arrays of APND random variables

被引：3

作者：

Sani, H. R. Nili ^{[1
]}

Amini, M. ^{[2
]}

Bozorgnia, A. ^{[3
]}

机构：

[1] Univ Birjand, Dept Stat, PB 414, Birjand, Iran

[2] Ferdowsi Univ Mashhad, Dept Stat, Mashhad, Iran

[3] Univ Khayyam, Dept Stat, Mashhad, Iran

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2018年 / 47卷 / 10期

关键词：

Asymptotically pairwise negatively dependent rvs; Complete convergence; Negatively dependent rvs; Strong law of large numbers; Weakly negative dependent rvs;

D O I：

10.1080/03610926.2016.1205623

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 note, we introduce a new class of dependent random variables (henceforth rvs), together with some its basic properties. This class includes independent rvs and pairwise negatively dependent rvs. Some extensions of Ranjbar etal. (2008) are discussed. The complete convergence for the new class of rvs is also proved, and some results of Beak and Park (2010) are extended to this class conveniently.

引用

页码：2425 / 2431

页数：7

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