Robust Wavelet Regression With Automatic Boundary Correction

This thesis proposes different robust methods in an attempt to keep using the idea of PWR and LP\iVR even beyond the usual assumptions of such outliers, independent or correlated non Gaussian noises and random missing data. Therefore, this thesis is divided into three parts. The first part introduce...

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Main Author: Mohamed Altaher, Alsaidi Almahdi
Format: Thesis
Language:English
Published: 2012
Subjects:
Online Access:http://eprints.usm.my/60760/1/Pages%20from%20Alsaidi.pdf
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spelling my-usm-ep.607602024-06-26T03:10:03Z Robust Wavelet Regression With Automatic Boundary Correction 2012-12 Mohamed Altaher, Alsaidi Almahdi QA1-939 Mathematics This thesis proposes different robust methods in an attempt to keep using the idea of PWR and LP\iVR even beyond the usual assumptions of such outliers, independent or correlated non Gaussian noises and random missing data. Therefore, this thesis is divided into three parts. The first part introduces five different robust methodologies to extend the validity of PWR and LPWR to describe data contaminated with outliers and independent noises. The second part pays special exception when the noise structure is correlated. 2012-12 Thesis http://eprints.usm.my/60760/ http://eprints.usm.my/60760/1/Pages%20from%20Alsaidi.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
Mohamed Altaher, Alsaidi Almahdi
Robust Wavelet Regression With Automatic Boundary Correction
description This thesis proposes different robust methods in an attempt to keep using the idea of PWR and LP\iVR even beyond the usual assumptions of such outliers, independent or correlated non Gaussian noises and random missing data. Therefore, this thesis is divided into three parts. The first part introduces five different robust methodologies to extend the validity of PWR and LPWR to describe data contaminated with outliers and independent noises. The second part pays special exception when the noise structure is correlated.
format Thesis
qualification_name Doctor of Philosophy (PhD.)
qualification_level Doctorate
author Mohamed Altaher, Alsaidi Almahdi
author_facet Mohamed Altaher, Alsaidi Almahdi
author_sort Mohamed Altaher, Alsaidi Almahdi
title Robust Wavelet Regression With Automatic Boundary Correction
title_short Robust Wavelet Regression With Automatic Boundary Correction
title_full Robust Wavelet Regression With Automatic Boundary Correction
title_fullStr Robust Wavelet Regression With Automatic Boundary Correction
title_full_unstemmed Robust Wavelet Regression With Automatic Boundary Correction
title_sort robust wavelet regression with automatic boundary correction
granting_institution Universiti Sains Malaysia
granting_department Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
publishDate 2012
url http://eprints.usm.my/60760/1/Pages%20from%20Alsaidi.pdf
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