The reciprocal inverse Gaussian kernel estimator for the hazard rate function

Other Title(s)

مقدر نواة مقلوب معكوس جاوس لدالة معدل المخاطرة

Dissertant

Rashid, Ali Jawhar Muhammad

Thesis advisor

Salihah, Raid Bashir Ibrahim

Comitee Members

al-Hanjuri, Mumin Muhammad Ramadan
Mahdi, Isam Bashir

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2015

English Abstract

In this thesis, we estimate the hazard rate function using the Reciprocal Inverse Gaussian (RIG) kernel for independent and identically distributed (iid) data.

We use this estimator to avoid the large bias problem near the zero.

We study the asymptotic consistency and normality for this estimator.

Also, the selection of the optimal bandwidth is investigated.

For the comparisons purposes we study the Gaussian kernel estimator for the hazard rate function.

Finally, we test and compare the (RIG) kernel estimator with Gaussian kernel estimator.

Main Subjects

Mathematics

No. of Pages

71

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction.

Chapter Two : Kernel estimation of the hazard rate function.

Chapter Three : Estimation of the hazard rate function using the RIG kernel.

Chapter Four : Applications and comparison.

References.

American Psychological Association (APA)

Rashid, Ali Jawhar Muhammad. (2015). The reciprocal inverse Gaussian kernel estimator for the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724341

Modern Language Association (MLA)

Rashid, Ali Jawhar Muhammad. The reciprocal inverse Gaussian kernel estimator for the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University. (2015).
https://search.emarefa.net/detail/BIM-724341

American Medical Association (AMA)

Rashid, Ali Jawhar Muhammad. (2015). The reciprocal inverse Gaussian kernel estimator for the hazard rate function. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-724341

Language

English

Data Type

Arab Theses

Record ID

BIM-724341