skip to content
Essential wavelets for statistical applications and data analysis Preview this item
ClosePreview this item
Checking...

Essential wavelets for statistical applications and data analysis

Author: R Todd Ogden
Publisher: Boston : Birkhäuser, ©1997.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of  Read more...

Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Ogden, R. Todd, 1965-
Essential wavelets for statistical applications and data analysis.
Boston : Birkhäuser, ©1997
(DLC) 96027379
(OCoLC)35121694
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: R Todd Ogden
ISBN: 9781461207092 1461207096
OCLC Number: 681197947
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. MiAaHDL
Description: 1 online resource (xviii, 206 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 1 Wavelets: A Brief Introduction.- 1.1 The Discrete Fourier Transform.- 1.2 The Haar System.- Multiresolution Analysis.- The Wavelet Representation.- Goals of Multiresolution Analysis.- 1.3 Smoother Wavelet Bases.- 2 Basic Smoothing Techniques.- 2.1 Density Estimation.- Histograms.- Kernel Estimation.- Orthogonal Series Estimation.- 2.2 Estimation of a Regression Function.- Kernel Regression.- Orthogonal Series Estimation.- 2.3 Kernel Representation of Orthogonal Series Estimators.- 3 Elementary Statistical Applications.- 3.1 Density Estimation.- Haar-Based Histograms.- Estimation with Smoother Wavelets.- 3.2 Nonparametric Regression.- 4 Wavelet Features and Examples.- 4.1 Wavelet Decomposition and Reconstruction.- Two-Scale Relationships.- The Decomposition Algorithm.- The Reconstruction Algorithm.- 4.2 The Filter Representation.- 4.3 Time-Frequency Localization.- The Continuous Fourier Transform.- The Windowed Fourier Transform.- The Continuous Wavelet Transform.- 4.4 Examples of Wavelets and Their Constructions.- Orthogonal Wavelets.- Biorthogonal Wavelets.- Semiorthogonal Wavelets.- 5 Wavelet-based Diagnostics.- 5.1 Multiresolution Plots.- 5.2 Time-Scale Plots.- 5.3 Plotting Wavelet Coefficients.- 5.4 Other Plots for Data Analysis.- 6 Some Practical Issues.- 6.1 The Discrete Fourier Transform of Data.- The Fourier Transform of Sampled Signals.- The Fast Fourier Transform.- 6.2 The Wavelet Transform of Data.- 6.3 Wavelets on an Interval.- Periodic Boundary Handling.- Symmetric and Antisymmetric Boundary Handling.- Meyer Boundary Wavelets.- Orthogonal Wavelets on the Interval.- 6.4 When the Sample Size is Not a Power of Two.- 7 Other Applications.- 7.1 Selective Wavelet Reconstruction.- Wavelet Thresholding.- Spatial Adaptivity.- Global Thresholding.- Estimation of the Noise Level.- 7.2 More Density Estimation.- 7.3 Spectral Density Estimation.- 7.4 Detections of Jumps and Cusps.- 8 Data Adaptive Wavelet Thresholding.- 8.1 SURE Thresholding.- 8.2 Threshold Selection by Hypothesis Testing.- Recursive Testing.- Minimizing False Discovery.- 8.3 Cross-Validation Methods.- 8.4 Bayesian Methods.- 9 Generalizations and Extensions.- 9.1 Two-Dimensional Wavelets.- 9.2 Wavelet Packets.- Wavelet Packet Functions.- The Best Basis Algorithm.- 9.3 Translation Invariant Wavelet Smoothing.- References.- Glossary of Notation.- Glossary of Terms.
Responsibility: R. Todd Ogden.

Reviews

Editorial reviews

Publisher Synopsis

"An accessible introductory survey of new wavelet-analysis tools and the way they can be applied to fundamental data-analysis problems... [The author] gives only the necessary mathematics for a good Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/681197947> # Essential wavelets for statistical applications and data analysis
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
   library:oclcnum "681197947" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/mau> ;
   library:placeOfPublication <http://dbpedia.org/resource/Boston> ; # Boston
   schema:about <http://id.worldcat.org/fast/1012127> ; # Mathematical statistics
   schema:about <http://dewey.info/class/519.5/e20/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/40086142#Topic/wavelet> ; # Wavelet
   schema:about <http://experiment.worldcat.org/entity/work/data/40086142#Topic/wavelets> ; # Wavelets
   schema:about <http://id.worldcat.org/fast/1172896> ; # Wavelets (Mathematics)
   schema:about <http://experiment.worldcat.org/entity/work/data/40086142#Topic/statistique_mathematique> ; # Statistique mathématique
   schema:about <http://experiment.worldcat.org/entity/work/data/40086142#Topic/ondelettes> ; # Ondelettes
   schema:bookFormat schema:EBook ;
   schema:copyrightYear "1997" ;
   schema:creator <http://viaf.org/viaf/115344708> ; # R. Todd Ogden
   schema:datePublished "1997" ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/40086142> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/35121694> ;
   schema:name "Essential wavelets for statistical applications and data analysis"@en ;
   schema:productID "681197947" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/681197947#PublicationEvent/boston_birkhauser_1997> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/40086142#Agent/birkhauser> ; # Birkhäuser
   schema:url <http://public.eblib.com/choice/PublicFullRecord.aspx?p=3074289> ;
   schema:url <http://books.google.com/books?id=JkIZAQAAIAAJ> ;
   schema:url <http://link.springer.com/10.1007/978-1-4612-0709-2> ;
   schema:url <http://dx.doi.org/10.1007/978-1-4612-0709-2> ;
   schema:url <http://catalog.hathitrust.org/api/volumes/oclc/35121694.html> ;
   schema:workExample <http://worldcat.org/isbn/9781461207092> ;
   schema:workExample <http://dx.doi.org/10.1007/978-1-4612-0709-2> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/681197947> ;
    .


Related Entities

<http://dbpedia.org/resource/Boston> # Boston
    a schema:Place ;
   schema:name "Boston" ;
    .

<http://experiment.worldcat.org/entity/work/data/40086142#Topic/statistique_mathematique> # Statistique mathématique
    a schema:Intangible ;
   schema:name "Statistique mathématique"@en ;
    .

<http://id.worldcat.org/fast/1012127> # Mathematical statistics
    a schema:Intangible ;
   schema:name "Mathematical statistics"@en ;
    .

<http://id.worldcat.org/fast/1172896> # Wavelets (Mathematics)
    a schema:Intangible ;
   schema:name "Wavelets (Mathematics)"@en ;
    .

<http://link.springer.com/10.1007/978-1-4612-0709-2>
   rdfs:comment "from Springer" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://viaf.org/viaf/115344708> # R. Todd Ogden
    a schema:Person ;
   schema:birthDate "1965" ;
   schema:familyName "Ogden" ;
   schema:givenName "R. Todd" ;
   schema:name "R. Todd Ogden" ;
    .

<http://worldcat.org/isbn/9781461207092>
    a schema:ProductModel ;
   schema:isbn "1461207096" ;
   schema:isbn "9781461207092" ;
    .

<http://www.worldcat.org/oclc/35121694>
    a schema:CreativeWork ;
   rdfs:label "Essential wavelets for statistical applications and data analysis." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/681197947> ; # Essential wavelets for statistical applications and data analysis
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.