A Strong Limit Theorem for Weighted Sums of Negatively Dependent Random Variables

Soo Hak Sung

Communications in Statistics - Theory and Methods, 2015, vol. 44, issue 2, 428-439

Abstract: In this article, we establish a new complete convergence theorem for weighted sums of negatively dependent random variables. As corollaries, many results on the almost sure convergence and complete convergence for weighted sums of negatively dependent random variables are obtained. In particular, the results of Jing and Liang (2008), Sung (2012), and Wu (2010) can be obtained.

Date: 2015
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DOI: 10.1080/03610926.2012.742111

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