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.

引用

页数：13

共 50 条

[21] Complete convergence for negatively orthant dependent random variables
Qiu, Dehua
Wu, Qunying
Chen, Pingyan
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[22] Equivalent Conditions of Complete Convergence and Complete Moment Convergence for END Random Variables
Shen, Aiting
Yao, Mei
Xiao, Benqiong
CHINESE ANNALS OF MATHEMATICS SERIES B, 2018, 39 (01) : 83 - 96
[23] ON THE COMPLETE CONVERGENCE FOR NEGATIVELY ASSOCIATED RANDOM FIELDS
Ko, Mi-Hwa
TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 171 - 179
[24] Strong convergence for sequences of asymptotically almost negatively associated random variables
Shen, Aiting
Wu, Ranchao
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2014, 86 (02) : 291 - 303
[25] Sufficient and necessary conditions of convergence for (ρ)over-tilde-mixing random variables
Zhang, Shui-Li
Miao, Yu
Qu, Cong
OPEN MATHEMATICS, 2019, 17 : 452 - 464
[26] Strong and Weak Convergence for Asymptotically Almost Negatively Associated Random Variables
Shen, Aiting
Wu, Ranchao
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
[27] Complete moment convergence of extended negatively dependent random variables
Mingzhu Song
Quanxin Zhu
Journal of Inequalities and Applications, 2020
[28] Complete moment convergence of extended negatively dependent random variables
Song, Mingzhu
Zhu, Quanxin
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
[29] On complete convergence for arrays of rowwrise negatively associated random variables
Kuczmaszewska, Anna
STATISTICS & PROBABILITY LETTERS, 2009, 79 (01) : 116 - 124
[30] On complete moment convergence for nonstationary negatively associated random variables
Mi-Hwa Ko
Journal of Inequalities and Applications, 2016

← 1 2 3 4 5 →