Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables

被引：6
|
作者：
Huang, Haiwu [1 ,2 ]
Zhang, Qingxia [3 ]
Wu, Xiongtao [1 ]
机构：
[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China
[2] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China
[3] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
关键词：
ANA random variables; Complete convergence; Weighed sums; Equivalent conditions; COMPLETE MOMENT CONVERGENCE; WEIGHTED SUMS; LAW; MAXIMUM; THEOREM;
D O I：
10.1186/s13660-018-1906-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this investigation, some sufficient and necessary conditions of the complete convergence for weighted sums of asymptotically negatively associated (ANA, in short) random variables are presented without the assumption of identical distribution. As an application of the main results, the Marcinkiewicz-Zygmund type strong law of large numbers based on weighted sums of ANA cases is obtained. The results of this paper extend and generalize some well-known corresponding ones.
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页数：13
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