## Abstract and Applied Analysis

### On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables

#### Abstract

Let $\{{X}_{ni},i\ge 1,n\ge 1\}$ be an array of rowwise asymptotically almost negatively associated (AANA, in short) random variables. The complete convergence for weighted sums of arrays of rowwise AANA random variables is studied, which complements and improves the corresponding result of Baek et al. (2008). As applications, the Baum and Katz type result for arrays of rowwise AANA random variables and the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of AANA random variables are obtained.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 315138, 15 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495756

Digital Object Identifier
doi:10.1155/2012/315138

Mathematical Reviews number (MathSciNet)
MR2947673

Zentralblatt MATH identifier
1253.60044

#### Citation

Wang, Xuejun; Hu, Shuhe; Yang, Wenzhi; Wang, Xinghui. On Complete Convergence of Weighted Sums for Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables. Abstr. Appl. Anal. 2012 (2012), Article ID 315138, 15 pages. doi:10.1155/2012/315138. https://projecteuclid.org/euclid.aaa/1355495756

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