Equivalent Conditions of Complete Convergence and Complete Moment Convergence for END Random Variables

被引：11

作者：

Shen, Aiting ^{[1
]}

Yao, Mei ^{[2
,3
]}

Xiao, Benqiong ^{[1
]}

机构：

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

[2] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China

[3] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2018年 / 39卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Extended negatively dependent random variables; Complete convergence; Complete moment convergence; DEPENDENT RANDOM-VARIABLES; PRECISE LARGE DEVIATIONS; WEIGHTED SUMS; ARRAYS; SEQUENCES; LAW;

D O I：

10.1007/s11401-018-1053-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the complete. convergence and the complete. moment convergence for extended negatively dependent (END, in short) random variables without identical distribution are investigated. Under some suitable conditions, the equivalence between the moment of random variables and the complete convergence is established. In addition, the equivalence between the moment of random variables and the complete moment convergence is also proved. As applications, the Marcinkiewicz-Zygmund-type strong law of large numbers and the Baum-Katz-type result for END random variables are established. The results obtained in this paper extend (lie corresponding ones for independent random variables and some dependent random variables.

引用

页码：83 / 96

页数：14

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