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On complete convergence for arrays of rowwise AANA random variables

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Let [Inline formula] be an array of rowwise asymptotically almost negatively associated (NA) random variables which is stochastically dominated by a random variable X. Wang et al. [11] studied the complete convergence for arrays of rowwise asymptotically almost NA random variables under the condition that X has an index-order moment, which seems too strong. We will further study the complete convergence for arrays of rowwise asymptotically almost NA random variables under the condition that X has a power-order moment, which is weaker than index-order moment. Our results improve the corresponding ones of Wang et al. [11].
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Keywords: 60F15; arrays of rowwise asymptotically almost negatively associated random variables; complete convergence; exponential moment; moment

Document Type: Research Article

Affiliations: 1: School of Mathematical Science, Anhui University, Hefei,230039, P.R. China 2: Department of Mathematics and Physics, Anhui Institute of Architecture and Industry, Hefei,230022, P.R. China

Publication date: May 4, 2014

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