On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application

Son Cong Ta, Cuong Manh Tran, Dung Van Le and Chien Van Ta

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 23, 8371-8387

Abstract: In this article, we investigate complete convergence and strong laws of large numbers for weighted sums of coordinatewise pairwise negative quadrant dependent random variables taking values in Hilbert spaces. As an application, the complete convergence and the almost sure convergence of degenerate von Mises-statistics are investigated.

Date: 2023
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DOI: 10.1080/03610926.2022.2062604

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