Strong convergence for sequences of asymptotically almost negatively associated random variables
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.
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: 04 March 2014
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