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

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.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025347
Primary Topic
Probability and Risk Models
Type
article
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article

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

Xili Tan, Yupeng Wei, Peiyu Sun, Shuang Guo
AIMS Mathematics
Probability and Risk Models
article

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

Xili Tan, Yupeng Wei, Peiyu Sun, Shuang Guo
article en

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.

AIMS MathematicsVol. 10(3)
Beihua University (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 93%
Probability and Risk Models
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