On the inverse Gaussian kernel estimator of the hazard rate function
Other Title(s)
حول مقدر نواة معكوسة جاوس لدالة معدل المخاطرة
Dissertant
Thesis advisor
Comitee Members
Uqaylan, Bashir Mamun
al-Habil, Abd Allah Muhammad
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2016
English Abstract
In this thesis, we consider the nonparametric estimation of the hazard rate function for identically independent data.
To solve the problem of bias e ect near the zero, when the hazard rate function is estimated by asymmetric kernel, we proposed to estimate it by using the Inverse Gaussian (IG) kernel estimation.
The asymptotic mean squared error (AMSE) and the asymptotic normality of the proposed estimator are investigated under criteria conditions.
Also, the problem of optimal bandwidth selection has been discussed.
The performance of the proposed has been tested by applications using simulated and real data.
Then we compared its performance with the performance of the Gaussian kernel.
The comparasion indecated that the IG kernel is better than the Gaussian kernel especially near the zero.
Main Subjects
No. of Pages
64
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Kernel estimator of the hazard rate function.
Chapter Three : Estimation of the hazard rate function using the IG kernel.
Chapter Four : Applications.
References.
American Psychological Association (APA)
al-Jayih, Nuha Khalid Ribhi. (2016). On the inverse Gaussian kernel estimator of the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727235
Modern Language Association (MLA)
al-Jayih, Nuha Khalid Ribhi. On the inverse Gaussian kernel estimator of the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University. (2016).
https://search.emarefa.net/detail/BIM-727235
American Medical Association (AMA)
al-Jayih, Nuha Khalid Ribhi. (2016). On the inverse Gaussian kernel estimator of the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-727235
Language
English
Data Type
Arab Theses
Record ID
BIM-727235
