The weak law of large numbers for weighted sums of m-asymptotic negatively associated random variables

Yuan Ji, Aiting Shen and Mei Yao

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 13, 3961-3975

Abstract: In this article, we mainly investigate the Kolmogorov-Feller type weak law of large numbers for weighted sums of m-asymptotic negatively associated (m-ANA, for short) random variables. Some sufficient conditions to prove the Kolmogorov-Feller type weak law of large numbers are provided. The results obtained in this article extend the corresponding ones of Naderi, Boukhari, and Matula (2022) for negatively superadditive dependent (NSD, for short) random variables.

Date: 2025
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DOI: 10.1080/03610926.2024.2409365

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