Abstract and Applied Analysis
Volume 2011 (2011), Article ID 630583, 11 pages
Research Article

On Complete Convergence for Weighted Sums of Arrays of Dependent Random Variables

Department of Applied Mathematics, Pai Chai University, Taejon 302-735, Republic of Korea

Received 24 September 2011; Accepted 17 November 2011

Academic Editor: Zhenya Yan

Copyright © 2011 Soo Hak Sung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A rate of complete convergence for weighted sums of arrays of rowwise independent random variables was obtained by Sung and Volodin (2011). In this paper, we extend this result to negatively associated and negatively dependent random variables. Similar results for sequences of 𝜑 -mixing and 𝜌 -mixing random variables are also obtained. Our results improve and generalize the results of Baek et al. (2008), Kuczmaszewska (2009), and Wang et al. (2010).