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The Resource Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)

Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)

Label
Wavelets in functional data analysis
Title
Wavelets in functional data analysis
Statement of responsibility
Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic
Creator
Contributor
Subject
Language
eng
Summary
Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science. This book presents wavelets in functional data analysis, offering a glimpse of problems in which they can be applied, including tumor analysis, functional magnetic resonance and meteorological data. Starting with the Haar wavelet, the authors explore myriad families of wavelets and how they can be used. High-dimensional data visualization (using Andrews' plots), wavelet shrinkage (a simple, yet powerful, procedure for nonparametric models) and a selection of estimation and testing techniques (including a discussion on Stein’s Paradox) make this a highly valuable resource for graduate students and experienced researchers alike.--
Member of
Assigning source
Provided by publisher
Cataloging source
EBLCP
http://library.link/vocab/creatorName
Morettin, Pedro A
Dewey number
  • 515/.2433
  • 515.7
Index
index present
LC call number
QA403.3
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1955-
http://library.link/vocab/relatedWorkOrContributorName
  • Pinheiro, Aluísio
  • Vidakovic, Brani
Series statement
SpringerBriefs in Mathematics
http://library.link/vocab/subjectName
  • Wavelets (Mathematics)
  • Mathematical statistics
Label
Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • ""Preface""; ""Contents""; ""1 Introduction: Examples of Functional Data""; ""1.1 Experimental Data in Tumor Physiology""; ""1.2 Orthosis Data Analysis""; ""1.3 Functional MRI Brain Data""; ""1.4 Metabolite Progesterone Curves""; ""1.5 NMR Spectra and SAA (Sulfur Amino Acids) Deficiency""; ""2 Wavelets""; ""2.1 Introduction to Wavelets""; ""2.2 How Do the Wavelets Work?""; ""2.2.1 The Haar Wavelet""; ""2.2.2 General Case""; ""2.2.3 Periodic Wavelets""; ""2.2.4 Wavelets in the Language of Signal Processing""; ""2.3 2-D and n-D Wavelet Decompositions""; ""2.4 Further Topics""
  • ""2.4.1 Construction of Wavelet Matrix""""2.4.2 Daubechiesâ#x80;#x93;Lagarias Algorithm""; ""2.4.3 Pollen-Type Parameterizations of Wavelet Bases""; ""2.4.4 Strangâ#x80;#x93;Fix Condition""; ""2.4.5 Covariance Wavelet Transform""; ""2.4.6 Wavelet Derivatives""; ""3 Wavelet Shrinkage""; ""3.1 Introduction""; ""3.2 Choice of Thresholds""; ""3.3 Shrinkage in Several Dimensions""; ""4 Wavelet-Based Andrews' Plots""; ""4.1 Introduction""; ""4.2 Andrews' Plots""; ""4.3 Data Sets""; ""4.4 Variations of Andrews' Plots""; ""4.5 Critique of Andrews' Plots""; ""4.6 Wavelet-Based Andrews' Plots""; ""4.6.1 Properties""
  • ""4.6.2 Examples Revisited""""4.7 Discussion""; ""5 Functional ANOVA""; ""5.1 Introduction""; ""5.2 The Functional Analysis of Variance Models""; ""5.3 The Mixed FANOVA Models""; ""5.4 An Illustration with the Orthosis Data""; ""5.5 An Application in Cloud/Temperature Mapping""; ""6 Further Topics""; ""6.1 Introduction""; ""6.2 The DWT-CEM Algorithm""; ""6.3 Functional Regression Models""; ""6.4 Dimension Reduction""; ""6.5 Concluding Remarks""; ""Bibliography""
Dimensions
unknown
Extent
1 online resource (112 p.)
File format
unknown
Form of item
online
Isbn
9783319596235
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)1012347764
  • on1012347764
Label
Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • ""Preface""; ""Contents""; ""1 Introduction: Examples of Functional Data""; ""1.1 Experimental Data in Tumor Physiology""; ""1.2 Orthosis Data Analysis""; ""1.3 Functional MRI Brain Data""; ""1.4 Metabolite Progesterone Curves""; ""1.5 NMR Spectra and SAA (Sulfur Amino Acids) Deficiency""; ""2 Wavelets""; ""2.1 Introduction to Wavelets""; ""2.2 How Do the Wavelets Work?""; ""2.2.1 The Haar Wavelet""; ""2.2.2 General Case""; ""2.2.3 Periodic Wavelets""; ""2.2.4 Wavelets in the Language of Signal Processing""; ""2.3 2-D and n-D Wavelet Decompositions""; ""2.4 Further Topics""
  • ""2.4.1 Construction of Wavelet Matrix""""2.4.2 Daubechiesâ#x80;#x93;Lagarias Algorithm""; ""2.4.3 Pollen-Type Parameterizations of Wavelet Bases""; ""2.4.4 Strangâ#x80;#x93;Fix Condition""; ""2.4.5 Covariance Wavelet Transform""; ""2.4.6 Wavelet Derivatives""; ""3 Wavelet Shrinkage""; ""3.1 Introduction""; ""3.2 Choice of Thresholds""; ""3.3 Shrinkage in Several Dimensions""; ""4 Wavelet-Based Andrews' Plots""; ""4.1 Introduction""; ""4.2 Andrews' Plots""; ""4.3 Data Sets""; ""4.4 Variations of Andrews' Plots""; ""4.5 Critique of Andrews' Plots""; ""4.6 Wavelet-Based Andrews' Plots""; ""4.6.1 Properties""
  • ""4.6.2 Examples Revisited""""4.7 Discussion""; ""5 Functional ANOVA""; ""5.1 Introduction""; ""5.2 The Functional Analysis of Variance Models""; ""5.3 The Mixed FANOVA Models""; ""5.4 An Illustration with the Orthosis Data""; ""5.5 An Application in Cloud/Temperature Mapping""; ""6 Further Topics""; ""6.1 Introduction""; ""6.2 The DWT-CEM Algorithm""; ""6.3 Functional Regression Models""; ""6.4 Dimension Reduction""; ""6.5 Concluding Remarks""; ""Bibliography""
Dimensions
unknown
Extent
1 online resource (112 p.)
File format
unknown
Form of item
online
Isbn
9783319596235
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)1012347764
  • on1012347764

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