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Research Article | Open Access

Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations

Yuyan Wei, Xili Tan( ), Peiyu Sun, Shuang Guo
College of Mathematics and Statistics, Beihua University, Jilin 132013, China
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Abstract

In the framework of sublinear expectations, we prove the Marcinkiewicz-Zygmund type weak law of large numbers for an array of row-wise weakly negatively dependent (WND) random variables. Moreover, we obtain the strong law of large numbers for linear processes generated by WND random variables. Our theorems extend the existed achievements of the law of large numbers under sublinear expectations.

Keywords

weakly negatively dependentweak law of large numbersstrong law of large numberslinear processes
CLC number: 60F15

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AIMS Mathematics
Volume 10 Issue 3,
March 2025
Pages 7540-7558
DOI: 10.3934/math.2025347

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Cite this article:
Wei Y, Tan X, Sun P, et al. Weak and strong law of large numbers for weakly negatively dependent random variables under sublinear expectations. AIMS Mathematics, 2025, 10(3): 7540-7558. https://doi.org/10.3934/math.2025347

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Received: 24 January 2025
Revised: 25 March 2025
Accepted: 27 March 2025
Published: 15 March 2025
©2025 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)