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

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成果类型:
期刊论文
作者:
Huang, Haiwu*;Zhang, Qingxia
通讯作者:
Huang, Haiwu
作者机构:
[Huang, Haiwu] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
[Huang, Haiwu] Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
[Zhang, Qingxia] Southwest Petr Univ, Sch Sci, Chengdu 610500, Sichuan, Peoples R China.
通讯机构:
[Huang, Haiwu] H
Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China.
Hunan Prov Key Lab Intelligent Informat Proc & Ap, Hengyang 421002, Peoples R China.
语种:
英文
关键词:
arrays of rowwise END random variables;complete convergence;complete moment convergence;weighted sums
期刊:
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
ISSN:
1015-8634
年:
2019
卷:
56
期:
4
页码:
1007-1025
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]; Application-Oriented Characterized Disciplines, Double FirstClass University Project of Hunan Province [Xiangjiaotong [2018]469]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2018JJ2006, 2018JJ4024]; National Statistical Science Research Project of China [2018LY05]; Scientic Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [17A030, 18C0660]
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 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, ...

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