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Short Communications

On complete convergence for arrays of row-wise negatively associated random variables

P. Chen^a, T.-Ch. Hu^b, X. J. Liu^a, A. I. Volodin<sup>c

a</sup> Jinan University
^b National Tsing Hua University, Department of Mathematics
^c University of Regina

Abstract: We obtain a complete convergence result for arrays of row-wise negatively associated random variables which extends the results of Hu, Szynal, and Volodin [Statist. Probab. Lett., 38 (1998), pp. 27–31], Hu et al. [Commun. Korean Math. Soc., 18 (2003), pp. 375–383], and Sung, Volodin, and Hu [Statist. Probab. Lett., 71 (2005), pp. 303–311] by the methods developed by Kruglov, Volodin, and Hu [Statist. Probab. Lett., 76 (2006), pp. 1631–1640].

Keywords: negatively associated random variable, array of row-wise negatively associated random variables, complete convergence.

Received: 04.07.2006

Language: English

DOI: 10.4213/tvp183

 English version: Theory of Probability and its Applications, 2008, 52:2, 323–328

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