The Bahadur representation for kernel-type estimator of the quantile function under strong mixing and censored data |
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| Authors: | M Ajami S Jomhoori |
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| Institution: | a Department of Statistics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Iranb Department of Statistics, Faculty of Sciences, University of Birjand, Iran |
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| Abstract: | In this paper, we consider the kernel-type estimator of the quantile function based on the kernel smoother under a censored dependent model. The Bahadur-type representation of the kernel smooth estimator is established, and from the Bahadur representation we can show that this estimator is strongly consistent. |
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| Keywords: | Censored dependent data Kaplan-Meier estimator Kiefer process Law of the iterated logarithm Strong Gaussian approximation |
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