Wavelets in Functional Data Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Statistics
Cover of the book Wavelets in Functional Data Analysis by Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic, Springer International Publishing
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Author: Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic ISBN: 9783319596235
Publisher: Springer International Publishing Publication: November 7, 2017
Imprint: Springer Language: English
Author: Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic
ISBN: 9783319596235
Publisher: Springer International Publishing
Publication: November 7, 2017
Imprint: Springer
Language: English

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.

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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.

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