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)
Resource Information
The item Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- 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.--
- Language
- eng
- Extent
- 1 online resource (112 p.)
- 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""
- Isbn
- 9783319596235
- Label
- Wavelets in functional data analysis
- Title
- Wavelets in functional data analysis
- Statement of responsibility
- Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic
- 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.--
- 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)
- 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)
- 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
Library Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Wavelets-in-functional-data-analysis-Pedro-A./HDQxQCSD1NM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Wavelets-in-functional-data-analysis-Pedro-A./HDQxQCSD1NM/">Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Wavelets-in-functional-data-analysis-Pedro-A./HDQxQCSD1NM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Wavelets-in-functional-data-analysis-Pedro-A./HDQxQCSD1NM/">Wavelets in functional data analysis, Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>
