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Almost sure convergence for weighted sums of WNOD random variables and its applications to non parametric regression models

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  • Jigao Yan

Abstract

In this article, some results on almost sure convergence for weighted sums of widely negative orthant dependent (WNOD) random variables are presented. The results obtained in the article generalize and improve the corresponding one of J. Lita Da Silva. [(2015), “Almost sure convergence for weighted sums of extended negatively dependent random variables.” Acta Math. Hungar. 146 (1), 56–70]. As applications, the strong convergence for the estimator of non parametric regression model are established.

Suggested Citation

  • Jigao Yan, 2018. "Almost sure convergence for weighted sums of WNOD random variables and its applications to non parametric regression models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(16), pages 3893-3909, August.
  • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:16:p:3893-3909
    DOI: 10.1080/03610926.2017.1364390
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