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Zbl 1235.60026
Wang, Xuejun; Hu, Shuhe; Yang, Wenzhi
Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables. (English)
[J] Discrete Dyn. Nat. Soc. 2011, Article ID 717126, 11 p. (2011). ISSN 1026-0226; ISSN 1607-887X/e

Summary: Let $\{X_{ni}, i \geq 1, n \geq 1\}$ be an array of rowwise asymptotically almost negatively associated random variables. Sufficient conditions for complete convergence for arrays of rowwise asymptotically almost negatively associated random variables are presented without the assumption of identical distribution. As an application, a Marcinkiewicz-Zygmund type strong law of large numbers for weighted sums of asymptotically almost negatively associated random variables is obtained.

MSC 2000:: *60F15 Strong limit theorems

Keywords: complete convergence; Marcinkiewicz-Zygmund type strong law of large numbers; asymptotically almost negatively associated random variables

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