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On the convergence of moving average processes under dependent conditions

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Summary

This paper considers a moving average process for a sequence of negatively associated random variables. It discusses the complete convergence of such a moving average process under suitable conditions. These results generalize and complement earlier results on independent random variables. Also, a conjecture for the case of a sequence of independent and identically distributed random variables is resolved and its moment condition weakened.
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Keywords: convergence; law of logarithm; moving average; negatively associated random variable

Document Type: Research Article

Affiliations: 1: Wonkwang University 2: Tongji University

Publication date: September 1, 2003

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