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Home / Stochastics: An International Journal of Probability and Stochastic Processes, Volume 88, Number 4

Complete moment convergence for arrays of rowwise NSD random variables

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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.

Keywords: 60F15; Negatively superadditive dependent random variables; complete convergence; complete moment convergence

Document Type: Research Article

Affiliations: 1: School of Mathematical Science, Anhui University, Hefei, P.R. China. 2: Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, Canada.

Publication date: 18 May 2016

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