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

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Negatively associated (NA) random variables are a more general class of random variables which include a set of independent random variables and have been applied to many practical fields. In this paper, the complete moment convergence of weighted sums for arrays of row-wise NA random variables is investigated. Some sufficient conditions for complete moment convergence of weighted sums for arrays of row-wise NA random variables are established. Moreover, under the weaker conditions, we extend the results of Baek et al. [J. Korean Stat. Soc. 37 (2008), pp. 73–80] and Sung [Abstr. Appl. Anal. 2011 (2011)]. As an application, the complete moment convergence of moving average processes based on an NA random sequence is obtained, which improves the result of Li and Zhang [Stat. Probab. Lett. 70 (2004), pp. 191–197 ].
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Keywords: 60E15; 60F15; complete convergence; complete moment convergence; moving average processes; negatively associated random variables; weighted sums

Document Type: Research Article

Affiliations: School of Mathematics and Computer Science, Anhui Normal University, Wuhu,241000, P.R. China

Publication date: May 4, 2014

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