The strong convergence properties of weighted sums for a class of dependent random variables

Mingzhu Song and Quanxin Zhu

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 14, 3455-3465

Abstract: Let {Xni,un≤i≤vn,n≥1} be an arrays of rowwise pairwise negatively quadrant dependent (NQD) random variables. In this paper, some novel sufficient conditions of LP-convergence for {Xni,un≤i≤vn,n≥1} are presented. Compared with some previous results, our results are more general, even under the weaker conditions. In addition, the method applied in this paper is different from some previous papers.

Date: 2020
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DOI: 10.1080/03610926.2019.1589516

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