Some convergence theorems for widely orthant dependent random variables under exponential moment conditions

Yanjiang Chen and Xuejun Wang

Communications in Statistics - Theory and Methods, 2025, vol. 54, issue 17, 5525-5544

Abstract: Probability limit theory is an important research direction of probability theory and mathematical statistics, which mainly research the convergence of sequences of random variables and distribution functions. In this article, we study the complete convergence, the complete moment convergence, and the complete f-moment convergence for widely orthant dependent random variables under some exponential moment conditions. The results obtained in this article extend the corresponding ones in the literature.

Date: 2025
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DOI: 10.1080/03610926.2024.2440002

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