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http://hdl.handle.net/20.500.12358/24068
TitleEstimating the Conditional Mode Using the Symmetrized Nearest Neighbor Kernel Estimator
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Abstract

In this paper, the kernel estimation of the mode of a conditional probability density function is studied. We propose the Symmetrized Nearest Neighbor (SNN) kernel estimator to estimate the conditional mode. We study the asymptotic properties of the proposed estimator. Also, we derive its asymptotic normality under some conditions much weaker than that needed for the Nadaraya- Watson (NW) kernel estimator. The performance of the SNN kernel estimator is tested using three simulated and real data which indicate that the proposed estimator is reasonably good. In addition, a comparison between the proposed estimator and the NW estimator is given. Keywords Kernel Estimation, Conditional Mode, Nearest Neighbor Estimator, Nadaraya-Watson Estimator, Asymptotic Properties.

Authors
Iqelan, Bisher M.
Salha, Raid B.
TypeJournal Article
Date2015
LanguageEnglish
Subjects
conditional mode
kernel estimation
asymptotic properties
nadaraya-watson estimator
nearest neighbor estimator
Published inIUG Journal for Natural and Engineering Studies
SeriesVolume: 23, Number: 2
Publisherالجامعة الإسلامية - غزة
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  • Staff Publications- Faculty of Science [1030]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

Contact Us | Send Feedback