Wavelets in Functional Data Analysis

By: Pedro A. Morettin, AluÃsio Pinheiro, Brani Vidakovic

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Paperback | 23 November 2017

At a Glance

Paperback
116 Pages

Dimensions(cm)
22.86 x 15.24 x 0.64

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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.

Industry Reviews

"This book is short and offers quick reference on common techniques for application of wavelets on functional data analysis using some real data examples. The authors have provided code examples in Matlab for some of the methods discussed in this book. ... this is a useful book for quick reference for researchers in this field." (Abhirup Mallik, Technometrics, Vol. 60 (3), 2018)â

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