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Wavelets in Functional Data Analysis

Wavelets in Functional Data Analysis

Paperback

Series: Springerbriefs in Mathematics

General MathematicsProbability & Statistics

ISBN10: 3319596225
ISBN13: 9783319596228
Publisher: Springer Nature
Published: Nov 23 2017
Pages: 106
Weight: 0.38
Height: 0.24 Width: 6.14 Depth: 9.21
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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General Mathematics