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.

引用

页码：877 / 896

页数：20

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