ON COMPLETE CONVERGENCE AND COMPLETE MOMENT CONVERGENCE FOR A CLASS OF RANDOM VARIABLES

被引：12
|
作者：
Wang, Xuejun [1 ]
Wu, Yi [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期
基金：
中国国家自然科学基金;
关键词：
complete convergence; complete moment convergence; stochastic domination; Rosenthal type inequality; LARGE NUMBERS; SUMS; LAW;
D O I：
10.4134/JKMS.j160293
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the complete convergence and complete moment convergence for a class of random variables satisfying the Rosenthal type inequality are investigated. The sufficient and necessary conditions for the complete convergence and complete moment convergence are provided. As applications, the Baum-Katz type result and the Marcinkiewicz-Zygmund type strong law of large numbers for a class of random variables satisfying the Rosenthal type inequality are established. The results obtained in the paper extend the corresponding ones for some dependent random variables.
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页码：877 / 896
页数：20
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