Volume 14, Issue 1 (6-2015)                   JIRSS 2015, 14(1): 107-118 | Back to browse issues page

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Kahrobaeian P, Fakoor V. A Note on the Smooth Estimator of the Quantile Function with Left-Truncated Data. JIRSS. 2015; 14 (1) :107-118
URL: http://jirss.irstat.ir/article-1-228-en.html
A Note on the Smooth Estimator of the Quantile Function with Left-Truncated Data
Parvin Kahrobaeian , Vahid Fakoor
Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Iran.
Abstract:   (2237 Views)

This note focuses on estimating the quantile function based on the kernel smooth estimator under a truncated dependent model. The Bahadurtype representation of the kernel smooth estimator is established, and from the Bahadur representation it can be seen that this estimator is strongly consistent.

Keywords: Kiefer process, law of the iterated logarithm, strong Gaussian approximation, strong mixing, truncated data
     
Type of Study: Original Paper | Subject: 62Gxx: Nonparametric inference
Received: 2013/09/30 | Accepted: 2015/11/29 | Published: 2015/11/29
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