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SpringerBriefs in Mathematics

Wavelets in Functional Data Analysis

Authors: Morettin, Pedro A., Pinheiro, Aluísio, Vidakovic, Brani

  • Brings together results in wavelet functional data analysis that to date were only available in papers
  • The only book to present functional data analysis from a wavelet point of view in a general framework
  • Offers numerous sample coded applications for use with MATLAB
  • Includes chapters in state-of-the-art topics like visualization of functional analysis via wavelets, optimal estimation and testing methods
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Buy this book

eBook $39.99
price for Brazil (gross)
  • ISBN 978-3-319-59623-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for Brazil
  • ISBN 978-3-319-59622-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Pedro A. Morettin holds a B.S. degree in Mathematics from the University of São Paulo, Brazil, with M.A. and Ph.D. degrees in Statistics from the University of California at Berkeley, USA. He is currently emeritus professor at the University of São Paulo's Statistics Department. His main research areas include nonparametric statistics, particularly with the use of wavelets and applications to finance. He received the Mahalanobis Award from by the Government of India and the International Statistical Institute in 2009, and the Brazilian Statistical Association Award in 2006.
Aluísio Pinheiro holds a B.S. and M.S. in Statistics from National School of Statistical Sciences (ENCE), Brazil, and University of Campinas, respectively. He also has a Ph.D. in Statistics from the University of North Carolina at Chapel Hill, USA. He is currently affiliated to the University of Campinas. His main research areas are nonparametric statistics, estimation and asymptotics, particularly wavelets and U-statistics. In 2012 he was awarded the P. K. Sen Distinguished Visiting Professorship of Biostatistics at the University of North Carolina.
Brani Vidakovic holds a B.S. in Mathematics and a M.S. in Probability from Belgrade University, Serbia, and a Ph.D. in Statistics from Purdue University, USA (1992). He is currently affiliated to Georgia Tech and Emory University, both in the USA. His main research areas are Bayesian modeling, wavelet statistics and multi-scale data analysis. He was the recipient of the 1992 Burr's award for best Ph.D. student at Purdue University. He is an associate editor of several leading statistical journals.

Table of contents (6 chapters)

  • Introduction: Examples of Functional Data

    Morettin, Pedro A. (et al.)

    Pages 1-10

  • Wavelets

    Morettin, Pedro A. (et al.)

    Pages 11-35

  • Wavelet Shrinkage

    Morettin, Pedro A. (et al.)

    Pages 37-49

  • Wavelet-Based Andrews’ Plots

    Morettin, Pedro A. (et al.)

    Pages 51-70

  • Functional ANOVA

    Morettin, Pedro A. (et al.)

    Pages 71-88

Buy this book

eBook $39.99
price for Brazil (gross)
  • ISBN 978-3-319-59623-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for Brazil
  • ISBN 978-3-319-59622-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Wavelets in Functional Data Analysis
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-59623-5
DOI
10.1007/978-3-319-59623-5
Softcover ISBN
978-3-319-59622-8
Series ISSN
2191-8198
Edition Number
1
Number of Pages
VIII, 106
Number of Illustrations
19 b/w illustrations, 25 illustrations in colour
Topics