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The strong consistency of M-estimates in linear models with extended negatively dependent errors

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  • Xinghui Wang
  • Shuhe Hu

Abstract

In this paper, we first establish the strong convergence for weighted sums of extended negatively dependent (END) random variables. Based on the strong convergence and Bernstein inequality, we obtain the strong consistency of M-estimates of the regression parameters in a linear model for END random errors under some mild moment conditions. The results generalize and improve the ones obtained in the literature to the case of END random errors.

Suggested Citation

  • Xinghui Wang & Shuhe Hu, 2017. "The strong consistency of M-estimates in linear models with extended negatively dependent errors," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(10), pages 5093-5108, May.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:10:p:5093-5108
    DOI: 10.1080/03610926.2015.1096386
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