Complete moment convergence for arrays of rowwise NSD random variables. Issue 4 (18th May 2016)

• Record Type: Journal Article
• Authors: Shen, Aiting; Xue, Mingxiang; Volodin, Andrei
• Is Part Of: Stochastics. Volume 88:Issue 4(2016)
• Page Start: 606
• Page End: 621
• Publication Date: 2016-05-18
• Subjects: Negatively superadditive dependent random variables -- complete convergence -- complete moment convergence; 60F15; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2015.1110153
• Languages: English
• ISSNs: 1744-2508

Abstract

Abstract : In this paper, the complete convergence and complete moment convergence for arrays of rowwise negatively superadditive dependent (NSD, in short) random variables are investigated. Some sufficient conditions to prove the complete convergence and the complete moment convergence are presented. The results obtained in the paper generalize and improve some corresponding ones for independent random variables and negatively associated random variables.