Leading Personalities In Statistical Sciences

Download Leading Personalities In Statistical Sciences full books in PDF, epub, and Kindle. Read online free Leading Personalities In Statistical Sciences ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

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

Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
Author :
Publisher : John Wiley & Sons
Total Pages : 368
Release :
ISBN-10 : 9781118762561
ISBN-13 : 1118762568
Rating : 4/5 (568 Downloads)

Book Synopsis Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators by : Tailen Hsing

Download or read book Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators written by Tailen Hsing and published by John Wiley & Sons. This book was released on 2015-03-16 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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