TY - BOOK AU - Morettin,Pedro A. AU - Pinheiro,Aluísio AU - Vidakovic,Brani ED - SpringerLink (Online service) TI - Wavelets in Functional Data Analysis T2 - SpringerBriefs in Mathematics, SN - 9783319596235 AV - QA319-329.9 U1 - 515.7 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Functional analysis KW - Statistics  KW - Mathematical models KW - Functional Analysis KW - Statistical Theory and Methods KW - Mathematical Modeling and Industrial Mathematics N1 - Preface -- Introduction Examples of Functional Data -- Wavelets -- Wavelet Shrinkage -- Wavelet-based Andrews Plots -- Functional ANOVA -- Further topics; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - 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 UR - https://doi.org/10.1007/978-3-319-59623-5 ER -