Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables-Reference-Cited by-同舟云学术

Complete Moment Convergence and Mean Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Wu Yongfeng¹^ORCID,Song Mingzhu¹,Wang Chunhua²^ORCID

Affiliation:

1. College of Mathematics and Computer Science, Tongling University, Tongling 244000, China

2. Department of Mathematics and Physics, Anhui Traditional Chinese Medical College, Hefei 230051, China

Abstract

The authors first present a Rosenthal inequality for sequence of extended negatively dependent (END) random variables. By means of the Rosenthal inequality, the authors obtain some complete moment convergence and mean convergence results for arrays of rowwise END random variables. The results in this paper extend and improve the corresponding theorems by Hu and Taylor (1997).

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/478612.pdf

Reference21 articles.

1. Complete Convergence and the Law of Large Numbers

2. Multivariate negative dependence

3. Precise large deviations for dependent random variables with heavy tails

4. Negative Association of Random Variables with Applications

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