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].
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页码：707 / 719
页数：13
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