Morettin, Pedro A. Wavelets in Functional Data Analysis [electronic resource] / / by Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic.. — 1st ed. 2017.. — VIII, 106 p. 44 illus., 25 illus. in color. : online resource. — (SpringerBriefs in Mathematics,) 2191-8198. - SpringerBriefs in Mathematics, .

Preface -- Introduction Examples of Functional Data -- Wavelets -- Wavelet Shrinkage -- Wavelet-based Andrews Plots -- Functional ANOVA -- Further topics.

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Анотація:
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.

ISBN: 9783319596235

Standard No.: 10.1007/978-3-319-59623-5 doi

Subjects--Topical Terms:
Functional analysis.
Statistics .
Mathematical models.
Functional Analysis.
Statistical Theory and Methods.
Mathematical Modeling and Industrial Mathematics.

LC Class. No.: QA319-329.9

Dewey Class. No.: 515.7