Complete convergence for weighted sums of extended negatively dependent random variables

Aiting Shen, Mingxiang Xue and Wenjuan Wang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 3, 1433-1444

Abstract: In this article, the complete convergence for weighted sums of extended negatively dependent (END, in short) random variables without identical distribution is investigated. In addition, the complete moment convergence for weighted sums of END random variables is also obtained. As an application, the Baum–Katz type result for END random variables is established. The results obtained in the article extend the corresponding ones for independent random variables and some dependent random variables.

Date: 2017
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DOI: 10.1080/03610926.2015.1019147

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