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portada theoretical foundations of functional data analysis
Type
Physical Book
Author
Publisher
Year
2012
Language
English
Pages
333
Format
Hardcover
Dimensions
22.9x15.2x2.3 cm
Weight
0.59 kg.
ISBN
0470016914
ISBN13
9780470016916
Edition No.
1
Categories

theoretical foundations of functional data analysis

Tailen Hsing (Author) · Randall Eubank (Author) · Wiley · Hardcover

theoretical foundations of functional data analysis - Hsing, Tailen ; Eubank, Randall

New Book Imported to South Africa
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Synopsis "theoretical foundations of functional data analysis"

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA).The self-contained treatment of selected topics of functional analysis and operator theory includes reproducing kernel Hilbert spaces, singular value decomposition of compact operators on Hilbert spaces and perturbation theory for both self-adjoint and non self-adjoint operators. The probabilistic foundation for FDA is described from the perspective of random elements in Hilbert spaces as well as from the viewpoint of continuous time stochastic processes. Nonparametric estimation approaches including kernel and regularized smoothing are also introduced. These tools are then used to investigate the properties of estimators for the mean element, covariance operators, principal components, regression function and canonical correlations. A general treatment of canonical correlations in Hilbert spaces naturally leads to FDA formulations of factor analysis, regression, MANOVA and discriminant analysis.This book will provide a valuable reference for statisticians and other researchers interested in developing or understanding the mathematical aspects of FDA. It is also suitable for a graduate level special topics course.

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