On the estimation of the conditional L1-median

Other Title(s)

حول تقدير الوسيط L1 الشرطي

Dissertant

Qurayq, Muna Yaqub Muhammad

Thesis advisor

Salihah, Raid Bashir Ibrahim

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2017

English Abstract

In this thesis, we study the conditional -median which plays an important role in the nonparametric prediction.

An estimator of the -median based on the Nadaraya-Watson estimator of the conditional distribution function has been studied and its consistency has been driven under some conditions.

Another estimator based on the double kernel estimator of the conditional distribution function has been proposed to get a smoother estimator than that based on the Nadaraya –Watson estimator .

The performance of the two estimators has been tested using two bivariate time series data.

The comparison indicated that the double kernel estimator gives smooth prediction curves while the NadarayaWatson estimator gives a smaller mean square error.

Main Subjects

Mathematics

No. of Pages

60

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Preliminaries.

Chapter Two : Nadaraya-watson estimator of L1-median.

Chapter Three : The double kernel estimator.

Chapter Four : Applications.

References.

American Psychological Association (APA)

Qurayq, Muna Yaqub Muhammad. (2017). On the estimation of the conditional L1-median. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901390

Modern Language Association (MLA)

Qurayq, Muna Yaqub Muhammad. On the estimation of the conditional L1-median. (Master's theses Theses and Dissertations Master). Islamic University. (2017).
https://search.emarefa.net/detail/BIM-901390

American Medical Association (AMA)

Qurayq, Muna Yaqub Muhammad. (2017). On the estimation of the conditional L1-median. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901390

Language

English

Data Type

Arab Theses

Record ID

BIM-901390