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2016•Communication in Statistics- Theory and MethodsRequires access

Complete convergence for weighted sums of extended negatively dependent random variables

Aiting Shen, Mingxiang Xue, Wenjuan Wang

Open publisher page 25 citations

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.

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What this paper is about

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.

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OpenAlex reports 25 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Mathematics, Random variable, Proofs of convergence of random variables, Sum of normally distributed random variables, Convergence (economics), Convergence of random variables, Moment (physics), Variables

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