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Strong convergence for sequences of asymptotically almost negatively associated random variables

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In this article, the complete convergence for sequences of asymptotically almost negatively associated (AANA) random variables is studied. As applications, the Baum–Katz-type theorem, Hsu–Robbins-type theorem and Marcinkiewicz–Zygmund strong law of large numbers for sequences of AANA random variables are obtained.
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Keywords: 60F15; AANA sequence; Marcinkiewicz–Zygmund strong law of large numbers; complete convergence

Document Type: Research Article

Affiliations: School of Mathematical Science, Anhui University, Hefei,230039, P.R. China

Publication date: March 4, 2014

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