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Wavelets in Functional Data Analysis : SpringerBriefs in Mathematics - Pedro A. Morettin

Wavelets in Functional Data Analysis

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

eText | 7 November 2017

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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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Non-FictionMathematicsCalculus & Mathematical AnalysisFunctional Analysis & TransformsProbability & StatisticsApplied MathematicsMathematical ModellingEngineering & TechnologyTechnology in GeneralMaths for Engineers

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