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

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  • Mingzhu Song
  • Quanxin Zhu

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.

Suggested Citation

  • Mingzhu Song & Quanxin Zhu, 2020. "The strong convergence properties of weighted sums for a class of dependent random variables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(14), pages 3455-3465, July.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:14:p:3455-3465
    DOI: 10.1080/03610926.2019.1589516
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