COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE THEOREMS FOR WEIGHTED SUMS OF ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：2

作者：

Huang, Haiwu ^{[1
,2
]}

Zhang, Qingxia ^{[3
]}

机构：

[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China

[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China

[3] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 04期

关键词：

arrays of rowwise END random variables; complete convergence; complete moment convergence; weighted sums; PRECISE LARGE DEVIATIONS;

D O I：

10.4134/BKMS.b180791

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present work, the complete convergence and complete moment convergence properties for arrays of rowwise extended negatively dependent (END) random variables are investigated. Some sharp theorems on these strong convergence for weighted sums of END cases are established. These main results not only generalize the known corresponding ones of Cai [2], Wang et al. [17] and Shen [14], but also improve them, respectively.

引用

页码：1007 / 1025

页数：19

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