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Research Article | Open Access

Complete convergence for weighted sums of negatively dependent random variables under sub-linear expectations

Mingzhou Xu( ), Kun Cheng, Wangke Yu
School of Information Engineering, Jingdezhen Ceramic University, Jingdezhen 333403, China
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Abstract

In this article, we study complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations. The results obtained in sub-linear expectation spaces extend the corresponding ones in probability space.

Keywords

negatively dependent random variablescomplete convergencecomplete moment convergencesub-linear expectations
CLC number: 60F05, 60F15

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AIMS Mathematics
Volume 7 Issue 11,
November 2022
Pages 19998-20019
DOI: 10.3934/math.20221094

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Cite this article:
Xu M, Cheng K, Yu W. Complete convergence for weighted sums of negatively dependent random variables under sub-linear expectations. AIMS Mathematics, 2022, 7(11): 19998-20019. https://doi.org/10.3934/math.20221094

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Received: 03 July 2022
Revised: 25 August 2022
Accepted: 05 September 2022
Published: 15 November 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)