Kernel nearest neighbor estimator for the regression Quantile

Other Title(s)

تقدير نواة الجوار الأقرب لمئينات الإنحدار

Dissertant

Abu Shamala, Ibrahim Ahmad Mahmud

Thesis advisor

Salha, Raid Bashir

Comitee Members

Mahdi, Isam Bashir
al-Shaykh Ahmad, Hazim Ismail

University

Islamic University

Faculty

Faculty of Science

Department

Department of Mathematics

University Country

Palestine (Gaza Strip)

Degree

Master

Degree Date

2014

English Abstract

-In this thesis, we study the kernel estimation of the conditional probability density function and two of its aspects, the conditional mode and the conditional quantiles.

For the conditional mode, we study the asymptotic normality of its kernel estimation from [30] and the conditions under which the conditional mode estimated at nite distinct points is asymptotically normally distributed.

Also, we study the kernel estimation for the conditional quantile from [1] and we study the conditions under which the joint distribution of several conditional quantile is asymptotically normally distributed.

Main Subjects

Mathematics

Topics

No. of Pages

67

Table of Contents

Table of contents.

Abstract.

Chapter One : Concepts and basics.

Chapter Two : Kernel estimation of the conditional density and distribution func-tions.

Chapter Three : Kernel nearest neighbor estimator.

Chapter Four : Summary and conclusions.

References.

American Psychological Association (APA)

Abu Shamala, Ibrahim Ahmad Mahmud. (2014). Kernel nearest neighbor estimator for the regression Quantile. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531094

Modern Language Association (MLA)

Abu Shamala, Ibrahim Ahmad Mahmud. Kernel nearest neighbor estimator for the regression Quantile. (Master's theses Theses and Dissertations Master). Islamic University. (2014).
https://search.emarefa.net/detail/BIM-531094

American Medical Association (AMA)

Abu Shamala, Ibrahim Ahmad Mahmud. (2014). Kernel nearest neighbor estimator for the regression Quantile. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531094

Language

English

Data Type

Arab Theses

Record ID

BIM-531094