COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS OF m-EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

被引：0

作者：

Huang, Xiang ^{[1
]}

Wu, Yongfeng ^{[2
]}

机构：

[1] Anhui Univ Chinese Med Hefei, Coll Med Informat Engn, Hefei 230012, Peoples R China

[2] Tongling Univ, Dept Math & Comp Sci, Tongling 244000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2023年 / 17卷 / 02期

关键词：

m-extended negatively dependent; weighted sums; complete convergence; complete moment convergence; PRECISE LARGE DEVIATIONS;

D O I：

10.7153/jmi-2023-17-46

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors study the complete convergence and complete moment convergence for weighted sums of m-extended negatively dependent (m-END) random variables. The results obtained in this paper extend and improve the corresponding results of Wu, Zhai and Peng [Y. F. Wu, M. Q. Zhai and J. Y. Peng, On the complete convergence for weighted sums of extended negatively dependent random variables, Journal of Mathematical Inequalities, 13 (1) (2019), 251-260] and Zarei and Jabbari [H. Zarei and H. Jabbari, Complete convergence of weighted sums under negative dependence, Statistical Papers, 52 (2011), 413-418].

引用

页码：707 / 719

页数：13

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