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

Author

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  • Son Cong Ta
  • Cuong Manh Tran
  • Dung Van Le
  • Chien Van Ta

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.

Suggested Citation

  • Son Cong Ta & Cuong Manh Tran & Dung Van Le & Chien Van Ta, 2023. "On the convergence for weighted sums of Hilbert-valued coordinatewise pairwise NQD random variables and its application," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(23), pages 8371-8387, December.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:23:p:8371-8387
    DOI: 10.1080/03610926.2022.2062604
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