On the kernel estimation of the mode of the density function
Other Title(s)
حول تقدير النواة لمنوال دالة الكثافة
Dissertant
Thesis advisor
Comitee Members
Ahmad, Hazim Ismail al-Shaykh
Mahdi, Isam Bashir
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2013
English 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.
Main Subjects
No. of Pages
58
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction.
Chapter Two : Kernel estimation of the mode.
Chapter Three : Variable bandwidth kernel estimator of the mode.
Chapter Four : Application.
References.
American Psychological Association (APA)
Hammudah, Afaf K.. (2013). On the kernel estimation of the mode of the density function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-610383
Modern Language Association (MLA)
Hammudah, Afaf K.. On the kernel estimation of the mode of the density function. (Master's theses Theses and Dissertations Master). Islamic University. (2013).
https://search.emarefa.net/detail/BIM-610383
American Medical Association (AMA)
Hammudah, Afaf K.. (2013). On the kernel estimation of the mode of the density function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-610383
Language
English
Data Type
Arab Theses
Record ID
BIM-610383
