On the strong convergence of weighted sums of widely dependent random variables

Dongya Cheng, Wenhai Zhang and Yuebao Wang

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 21, 6447-6460

Abstract: For widely dependent random variables, we present some results on the strong convergence of weighted sums, including results on almost surely (a.s.) and complete convergence. To this end, we verified some Borel–Cantelli lemmas of the widely dependent random variables. The above-mentioned random variables contain common negatively dependent random variables, some positively dependent random variables, and some others; therefore, the obtained results extend and improve some existing results.

Date: 2016
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DOI: 10.1080/03610926.2014.922988

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