The von Bahr-Esseen moment inequality for pairwise independent random variables and applications

被引：38

作者：

Chen, Pingyan ^{[1
]}

Bai, Peng ^{[2
]}

Sung, Soo Hak ^{[3
]}

机构：

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

[2] Jinan Univ, Dept Stat, Guangzhou 510630, Guangdong, Peoples R China

[3] Pai Chai Univ, Dept Appl Math, Taejon 302735, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 02期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

The von Bahr Esseen moment inequality; Pairwise independent random variables; Moment convergence; CONVERGENCE-RATES;

D O I：

10.1016/j.jmaa.2014.05.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we generalize the von Bahr-Esseen moment inequality from independent random variables to pairwise independent random variables. As the applications, the moment convergence, the complete convergence and the strong law of large numbers are established for pairwise independent random variables. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1290 / 1302

页数：13

共 50 条

[1] ON THE VON BAHR-ESSEEN INEQUALITY FOR PAIRWISE INDEPENDENT RANDOM VECTORS IN HILBERT SPACES WITH APPLICATIONS TO MEAN CONVERGENCE
Nguyen Chi Dzung
Nguyen Thi Thanh Hien
MATHEMATICA SLOVACA, 2024, 74 (01) : 209 - 220
[2] General Bahr-Esseen inequalities and their applications
Fazekas, Istvan
Pecsora, Sandor
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[3] General Bahr-Esseen inequalities and their applications
István Fazekas
Sándor Pecsora
Journal of Inequalities and Applications, 2017
[4] Erratum to: General Bahr-Esseen inequalities and their applications
István Fazekas
Sándor Pecsora
Journal of Inequalities and Applications, 2017
[5] Best possible bounds of the von Bahr-Esseen typeIosif Pinelis
Pinelis, Iosif
ANNALS OF FUNCTIONAL ANALYSIS, 2015, 6 (04): : 1 - 29
[6] General Bahr-Esseen inequalities and their applications (vol 2017, 191, 2017)
Fazekas, Istvan
Pecsora, Sandor
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[7] BERRY-ESSEEN INEQUALITY FOR THE SUM OF A RANDOM NUMBER OF INDEPENDENT RANDOM-VARIABLES
RYCHLIK, Z
MATHEMATICAL NOTES, 1980, 28 (1-2) : 616 - 617
[8] On pairwise quasi-asymptotically independent random variables and their applications
Li, Jinzhu
STATISTICS & PROBABILITY LETTERS, 2013, 83 (09) : 2081 - 2087
[9] A generalization of Esseen's inequality for NA random variables
Pan, JM
Lu, CR
CHINESE SCIENCE BULLETIN, 1998, 43 (13): : 1076 - 1080
[10] A generalization of Esseen's inequality for NA random variables
PAN Jianmin and LU Chuanrong Department of Mathematics Hangzhou University
Science Bulletin, 1998, (13) : 1076 - 1080

← 1 2 3 4 5 →