Generalised kernel density estimator

Novak, Serguei ORCID logoORCID: (1999) Generalised kernel density estimator. Theory of Probability and Its Applications, 44 (3) . pp. 570-583. ISSN 0040-585X [Article] (doi:10.1137/S0040585X97977781)

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We introduce a new class of nonparametric density estimators. It includes the classical kernel density estimator as well as the popular Abramson's estimator. We show that generalized estimators may perform much better than the classical one if the distribution has a heavy tail. The asymptotics of the mean squared error (MSE), optimal (in a sense) kernel, and smoothing parameter are found.

Item Type: Article
Research Areas: A. > School of Science and Technology > Design Engineering and Mathematics
Item ID: 20506
Notes on copyright: Copyright © 2000 Society for Industrial and Applied Mathematics
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Depositing User: Serguei Novak
Date Deposited: 12 Sep 2016 17:53
Last Modified: 30 Nov 2022 03:07

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