02906nam 22005655 450 991025429800332120250408073956.03-319-59623-310.1007/978-3-319-59623-5(CKB)4100000001040117(DE-He213)978-3-319-59623-5(MiAaPQ)EBC5131098(PPN)221252827(EXLCZ)99410000000104011720171107d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierWavelets in Functional Data Analysis /by Pedro A. Morettin, Aluísio Pinheiro, Brani Vidakovic1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (VIII, 106 p. 44 illus., 25 illus. in color.) SpringerBriefs in Mathematics,2191-82013-319-59622-5 Includes bibliographical references and index.Preface -- Introduction Examples of Functional Data -- Wavelets -- Wavelet Shrinkage -- Wavelet-based Andrews Plots -- Functional ANOVA -- Further topics.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.SpringerBriefs in Mathematics,2191-8201Functional analysisStatisticsMathematical modelsFunctional AnalysisStatistical Theory and MethodsMathematical Modeling and Industrial MathematicsFunctional analysis.Statistics.Mathematical models.Functional Analysis.Statistical Theory and Methods.Mathematical Modeling and Industrial Mathematics.515.7Morettin Pedro Aauthttp://id.loc.gov/vocabulary/relators/aut767455Pinheiro Aluísioauthttp://id.loc.gov/vocabulary/relators/autVidakovic Braniauthttp://id.loc.gov/vocabulary/relators/autBOOK9910254298003321Wavelets in Functional Data Analysis2235921UNINA