ON COMPLETE MOMENT CONVERGENCE FOR WEIGHTED SUMS UNDER NEGATIVELY ASSOCIATED SETUP

被引：0

作者：

Huang, Haiwu ^{[1
]}

Yi, Yanchun ^{[2
]}

Wu, Xiongtao ^{[3
]}

机构：

[1] Guilin Univ Aerosp Technol, Sch Sci, Guilin 541004, Peoples R China

[2] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Peoples R China

[3] Hengyang Normal Univ, Xiongtao Coll Math & Stat, Hengyang 421002, Peoples R China

来源：

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

关键词：

and phrases; Complete moment convergence; weighted sums; negatively associated random variables; STRONG LAWS; ARRAYS;

D O I：

10.7153/jmi-2023-17-39

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the complete moment convergence for weighted sums of negatively as-sociated random variables is discussed without assumptions of identical distribution. Under the moment condition E|X|a/(log (1+ |X|))a/-1 <  for the case 0 <  < a with 1 < a 2, the complete moment convergence theorem for weighted sums of negatively associated setup is presented. The main results obtained in this article extend and improve the corresponding ones of Chen and Sung (Stat. Probabil. Lett., 92: 45-52 (2014)), Sung (Stat. Pap., 52: 447-454 (2011)).

引用

页码：601 / 613

页数：13

共 19 条

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