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Research Article | Open Access

Almost sure convergence for a class of dependent random variables under sub-linear expectations

Baozhen Wang1,2, Qunying Wu1,2( )
School of Mathematics and Statistics, Guilin University of Technology, Guilin 541006, China
Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin 541004, China
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Abstract

This article aimed to investigate the almost sure convergence theorem of widely negative orthant dependent (WNOD) random variables under sub-linear expectation space. The conclusions in this essay are an extension of the corresponding conclusions in the classical probability space.

Keywords

widely negative orthant dependentalmost sure convergencesub-linear expectation
CLC number: 60F15

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AIMS Mathematics
Volume 9 Issue 7,
July 2024
Pages 17259-17275
DOI: 10.3934/math.2024838

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Wang B, Wu Q. Almost sure convergence for a class of dependent random variables under sub-linear expectations. AIMS Mathematics, 2024, 9(7): 17259-17275. https://doi.org/10.3934/math.2024838

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Received: 06 February 2024
Revised: 05 April 2024
Accepted: 14 May 2024
Published: 15 July 2024
©2024 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)