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Research Article | Open Access

Limit theorems for negatively superadditive-dependent random variables with infinite or finite means

School of Mathematics and Computer Science, Tongling University, Tongling 244000, China
School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, China
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Abstract

The author studies the laws of large numbers for weighted sums of negatively superadditive-dependent random variables. The obtained results in this paper extend and improve the corresponding theorems of Yang et al. [Commun. Stat. Theor. M., 48 (2019), 3044-3054]. Moreover, the author obtains a new theorem of mean convergence for weighted sums of negatively superadditive-dependent random variables, which was not considered in Yang et al. (2019).

Keywords

law of large numbersmean convergencenegatively superadditive-dependent
CLC number: 60F05, 60F15

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25311-25324
DOI: 10.3934/math.20231291

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Cite this article:
Wu Y. Limit theorems for negatively superadditive-dependent random variables with infinite or finite means. AIMS Mathematics, 2023, 8(11): 25311-25324. https://doi.org/10.3934/math.20231291

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Received: 09 July 2023
Revised: 09 August 2023
Accepted: 22 August 2023
Published: 15 November 2023
©2023 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)