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Tailen Hsing - Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators - 9780470016916 - V9780470016916
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Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

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Description for Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators Hardcover. ?? Provides a concise but rigorous account of the theoretical background of FDA. ?? Introduces topics in various areas of mathematics, probability and statistics from the perspective of FDA. ?? Presents a systematic exposition of the fundamental statistical issues in FDA. Series: Wiley Series in Probability and Statistics. Num Pages: 384 pages. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 238 x 158 x 24. Weight in Grams: 590.

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.

Product Details

Format
Hardback
Publication date
2015
Publisher
John Wiley & Sons Inc United Kingdom
Number of pages
480
Condition
New
Series
Wiley Series in Probability and Statistics
Number of Pages
368
Place of Publication
New York, United States
ISBN
9780470016916
SKU
V9780470016916
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-50

About Tailen Hsing
Tailen Hsing Professor, Department of Statistics, University of Michigan, USA. Professor Hsing is a fellow of International Statistical Institute and of the Institute of Mathematical Statistics. He has published numerous papers on subjects ranging from bioinformatics to extreme value theory, functional data analysis, large sample theory and processes with long memory. Randall Eubank Professor Emeritus, School of Mathematical and Statistical Sciences, Arizona State University, USA. Professor Eubank is well know and respected in the functional data analysis (FDA) field. He has published numerous papers on the subject and is a regular invited speaker at key meetings.

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