Inference for Functional Data with Applications by Lajos Horvath, Piotr Kokoszka (Hardcover, 2012)

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ISBN-13: 9781461436546, 978-1461436546. It is concerned with inference based on second order statistics, especially those related to the functional principal component analysis. Specific inferential problems studied include two sample inference, change point analysis, tests for dependence in data and model residuals and functional prediction.

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This book presents recently developed statistical methods and theory required for the application of the tools of functional data analysis to problems arising in geosciences, finance, economics and biology. It is concerned with inference based on second order statistics, especially those related to the functional principal component analysis. While it covers inference for independent and identically distributed functional data, its distinguishing feature is an in depth coverage of dependent functional data structures, including functional time series and spatially indexed functions. Specific inferential problems studied include two sample inference, change point analysis, tests for dependence in data and model residuals and functional prediction. All procedures are described algorithmically, illustrated on simulated and real data sets, and supported by a complete asymptotic theory. The book can be read at two levels. Readers interested primarily in methodology will find detailed descriptions of the methods and examples of their application. Researchers interested also in mathematical foundations will find carefully developed theory. The organization of the chapters makes it easy for the reader to choose an appropriate focus. The book introduces the requisite, and frequently used, Hilbert space formalism in a systematic manner. This will be useful to graduate or advanced undergraduate students seeking a self-contained introduction to the subject. Advanced researchers will find novel asymptotic arguments.

Product Identifiers

PublisherSpringer-Verlag New York Inc.
ISBN-139781461436546
eBay Product ID (ePID)114029057

Product Key Features

Number of Pages422 Pages
LanguageEnglish
Publication NameInference for Functional Data with Applications
Publication Year2012
SubjectGovernment, Mathematics
TypeTextbook
AuthorLajos Horvath, Piotr Kokoszka
SeriesSpringer Series in Statistics
FormatHardcover

Dimensions

Item Height235 mm
Item Weight816 g
Item Width155 mm
Volume200

Additional Product Features

Country/Region of ManufactureUnited States
Title_AuthorLajos Horvath, Piotr Kokoszka

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