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Asymptotic properties of the kernel mode estimator under twice censorship model

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  • Zohra Guessoum
  • Mohamed-Amine Mansouri
  • Elias Ould Saïd

Abstract

In this article, we study the asymptotic properties of the kernel estimator of the mode and density function when the data are twice censored. More specifically, we first establish a strong uniform consistency over a compact set with a rate of the kernel density estimator and then we give the consistency with rate and asymptotic normality for the kernel mode estimator. An application to confidence bands is given.

Suggested Citation

  • Zohra Guessoum & Mohamed-Amine Mansouri & Elias Ould Saïd, 2018. "Asymptotic properties of the kernel mode estimator under twice censorship model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(9), pages 2195-2212, May.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:9:p:2195-2212
    DOI: 10.1080/03610926.2017.1337143
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