On complete convergence of weighted sums for arrays of rowwise asymptotically almost negatively associated random variables.

*(English)*Zbl 1253.60044Summary: Let \(\{X_{ni}, i \geq 1, n \geq 1\}\) 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 J.-I. Baek, I.-B. Choi and S.-L. Niu [J. Korean Stat. Soc. 37, No. 1, 73–80 (2008; Zbl 1298.60039)]. As applications, a Baum and Katz type result for arrays of row-wise AANA random variables and the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of AANA random variables are obtained.

##### MSC:

60F15 | Strong limit theorems |

##### Keywords:

asymptotically almost negatively associated random variables; complete convergence; Baum and Katz type result; Marcinkiewicz-Zygmund type strong law of large numbers##### Citations:

Zbl 1298.60039
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\textit{X. Wang} et al., Abstr. Appl. Anal. 2012, Article ID 315138, 15 p. (2012; Zbl 1253.60044)

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##### References:

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