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

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成果类型:
期刊论文
作者:
Huang, Haiwu*;Zhang, Qingxia;Wu, Xiongtao
通讯作者:
Huang, Haiwu
作者机构:
[Wu, Xiongtao; Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.
[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu, Sichuan, Peoples R China.
通讯机构:
[Huang, Haiwu] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang, Peoples R China.
Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang, Peoples R China.
语种:
英文
关键词:
ANA random variables;Complete convergence;Weighed sums;Equivalent conditions
期刊:
JOURNAL OF INEQUALITIES AND APPLICATIONS
ISSN:
1029-242X
年:
2018
卷:
2018
期:
1
页码:
1-13
基金类别:
Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China [15YJCZH066]; Science and Technology Plan Project of Hunan Province [2016TP1020]; Science and Technology Plan Project of Hengyang City [2017KJ183]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2018JJ4024]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [17A030]; National Statistical Science Research Project of China [2018LY05]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
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 ...

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