Complete Convergence and Complete Moment Convergence for Extended Negatively Dependent Random Variables

被引：9

作者：

Shen, Aiting ^{[1
]}

Zhang, Yu ^{[1
]}

Wang, Wenjuan ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

来源：

FILOMAT | 2017年 / 31卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Complete convergence; complete moment convergence; extended negatively dependent random variables; Marcinkiewicz-Zygmund type inequality; PRECISE LARGE DEVIATIONS; WEIGHTED SUMS; ARRAYS;

D O I：

10.2298/FIL1705381S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we provide some probability and moment inequalities (especially the Marcinkiewicz- Zygmund type inequality) for extended negatively dependent (END, in short) random variables. By using the Marcinkiewicz-Zygmund type inequality and the truncation method, we investigate the complete convergence for sums and weighted sums of arrays of rowwise END random variables. In addition, the complete moment convergence for END random variables is obtained. Our results generalize and improve the corresponding ones ofWang et al. [18] and Baek and Park [2].

引用

页码：1381 / 1394

页数：14

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