Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators by Tailen Hsing, Randall Eubank, Wiley
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Tailen Hsing, Randall Eubank ISBN: 9781118762578
Publisher: Wiley Publication: April 7, 2015
Imprint: Wiley Language: English
Author: Tailen Hsing, Randall Eubank
ISBN: 9781118762578
Publisher: Wiley
Publication: April 7, 2015
Imprint: Wiley
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Wiley

Cover of the book Kinomics by Tailen Hsing, Randall Eubank
Cover of the book I Am John Galt by Tailen Hsing, Randall Eubank
Cover of the book Beating Sugar Addiction For Dummies by Tailen Hsing, Randall Eubank
Cover of the book The Portable MBA in Entrepreneurship by Tailen Hsing, Randall Eubank
Cover of the book Smart Materials for Waste Water Applications by Tailen Hsing, Randall Eubank
Cover of the book Friction at the Atomic Level by Tailen Hsing, Randall Eubank
Cover of the book Social Bioarchaeology by Tailen Hsing, Randall Eubank
Cover of the book The Ethics Challenge in Public Service by Tailen Hsing, Randall Eubank
Cover of the book Professional Application Lifecycle Management with Visual Studio 2013 by Tailen Hsing, Randall Eubank
Cover of the book Can Do Writing by Tailen Hsing, Randall Eubank
Cover of the book Crustal Permeability by Tailen Hsing, Randall Eubank
Cover of the book Wastewater Microbiology by Tailen Hsing, Randall Eubank
Cover of the book DotNetNuke For Dummies by Tailen Hsing, Randall Eubank
Cover of the book Internal Audit Quality by Tailen Hsing, Randall Eubank
Cover of the book Heterogeneous Catalysts for Clean Technology by Tailen Hsing, Randall Eubank
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy