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Equivalent conditions of the complete convergence for weighted sums of NSD random variables

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成果类型:
期刊论文
作者:
Huang, Haiwu*;Zou, Hang;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, Peoples R China.
[Zou, Hang] Cent S Univ, Sch Math & Stat, Changsha, Hunan, 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 421002, Peoples R China.
语种:
英文
关键词:
60F15;complete convergence;equivalent conditions;NSD random variables;weighted sums
期刊:
Communications in Statistics - Theory and Methods
ISSN:
0361-0926
年:
2019
卷:
48
期:
18
页码:
4675-4689
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]; Nature Science Foundation of Guangxi ProvinceNational Natural Science Foundation of Guangxi Province [2014GXNSFBA118006]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2018JJ4024]; Construct Program of the Key Discipline in Hunan Province; University Students Research and Innovation Experiment Project of Hunan Province [C1718]
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 paper, we consider the complete convergence for weighted sums of negatively superadditive-dependent (NSD) random variables without assumptions of identical distribution. Some sufficient and necessary conditions to prove the complete convergence for weighted sums of NSD random variables are presented, which extend and improve the corresponding ones of Naderi etal. As an application of the main results, the Marcinkiewicz–Zygmund type strong law of large numbers for weighted sums of NSD random variables is a...

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