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Asymptotic properties of the kernel mode estimator under twice censorship model |
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| Authors: | Zohra Guessoum Mohamed-Amine Mansouri |
| Institution: | Faculté de Mathématiques, U.S.T.H.B., El Alia, Algeria |
| 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. |
| Keywords: | Asymptotic normality Kernel mode estimation Patilea–Rolin estimator Rate of convergence Strong uniform consistency Twice censoring |