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http://hdl.handle.net/20.500.12358/21386
TitleOn the Kernel Estimation of the Mode of the Density Function
Title in Arabicحول تقدير النواة لمنوال دالة الكثافة
Abstract

In this thesis, we study the kernel estimation of the probability density function and its mode. The problem of estimating the mode of a probability density function has been considered firstly by Parzen [17]. Parzen [17] has proposed a kernel estimator of the mode depends on a single bandwidth. Since the bandwidth plays an important role in the kernel estimator, the selection of a variable bandwidth that depends on the point where we estimate the probability density function will improve the estimation of the mode. In this thesis, the Parzen estimator has been improved by considering a kernel estimator with variable bandwidth for the mode of the density function. The asymptotic consistency and normality of the two mode kernel estimators has been shown under some conditions. The performance of the two estimators is tested via simulation studies and it is shown that the variable bandwidth estimator is more efficient than the Parzen’s estimator.

Authors
Hammouda, Afaf K.
Supervisors
Salha, Raid B.
Typeرسالة ماجستير
Date2015
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [445]
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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.

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