Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables

Complete Convergence for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables

Let {Xni, i ≥ 1, n ≥ 1} be an array of rowwise asymptotically almost negatively associated random variables. Some sufficient conditions for complete convergence for arrays of rowwise asymptotically almost negatively associated random variables are presented without assumptions of identical distribution. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for weighted s...

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

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).

On complete convergence for arrays of rowwise dependent random variables

This paper establishes two results for complete convergence in the law of large numbers for arrays under %-mixing and ~ %-mixing association in rows. They extend several known results. AMS classi cation: 60F15

On the Complete Convergence for Arrays of Rowwise Extended Negatively Dependent Random Variables

Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA ...