Lr convergence for arrays of rowwise m-extended negatively dependent random variables

Zi-jian Wang, Yi Wu, Yue Du and Xue-jun Wang

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 20, 7370-7383

Abstract: In this article, the Marcinkiewicz-Zygmund-type moment inequality and Rosenthal-type moment inequality for m-extended negatively dependent (m-END, for short) random variables are established. As applications of Marcinkiewicz-Zygmund-type moment inequality and Rosenthal-type moment inequality, we further investigate the Lr convergence properties for arrays of rowrise m-END random variables. Some sufficient conditions are provided. Finally, some simulations are presented to verify the validity of theoretical results. The results obtained in the article generalize some known ones for independent random variables and some dependent random variables.

Date: 2024
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DOI: 10.1080/03610926.2023.2263600

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