Work

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

Year: 2025

Type: article

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.

Source: AIMS Mathematics

DOI: 10.3934/math.2025347

Authors: Yuyan Wei, Xili Tan, Peiyu Sun, Shuang Guo

Institution: Beihua University

Language: English

Topic: Probability and Statistical Research

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: People's Government of Jilin Province, Department of Science and Technology of Jilin Province, Beihua University