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

A note on the complete convergence for arrays of dependent random variables

Correspondence: [email protected] Department of Applied Mathematics, Pai Chai University, Taejon 302-735, South Korea Abstract A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen et al. (2007) an...

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 ...

Complete Moment Convergence of Weighted Sums for Arrays of Rowwise φ-Mixing Random Variables

The complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for arrays of rowwise φ-mixing random variables are obtained. The results of Ahmed et al. 2002 are complemented. As an application, the complete moment conver...

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...

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