Complete Convergence for Randomly Weighted Sums of Random Variables Satisfying Some Moment Inequalities

被引：6

作者：

Chen, Ping Yan ^{[1
]}

Sung, Soo Hak ^{[2
]}

机构：

[1] Jinan Univ, Dept Math, Guangzhou 510630, Peoples R China

[2] Pai Chai Univ, Dept Appl Math, Daejeon 35345, South Korea

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2021年 / 37卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Randomly weighted sum; complete convergence; moment inequality;

D O I：

10.1007/s10114-020-0009-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For random variables and random weights satisfying Marcinkiewicz-Zygmund and Rosenthal type moment inequalities, we establish complete convergence results for randomly weighted sums of the random variables. Our results generalize those of (Thanh et al. SIAM J. Control Optim., 49, 106-124 (2011), Han and Xiang J. Ineq. Appl., 2016, 313 (2016), Li et al. J. Ineq. Appl., 2017, 182 (2017), and Wang et al. Statistics, 52, 503-518 (2018).)

引用

页码：279 / 288

页数：10

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