TY - BOOK AU - Hsing,Tailen AU - Eubank,Randall TI - Theoretical foundations of functional data analysis, with an introduction to linear operators T2 - Wiley series in probability and statistics SN - 9780470016916 (cloth) U1 - 000SA.07 23 PY - 2015/// CY - Chichester PB - John Wiley and Sons, Inc. KW - Multivariate analysis KW - Statistical functionals KW - Linear operators N1 - Includes bibliographical references and indexes; 1. Introduction-- 2. Vector and function spaces-- 3. Linear operator and functionals-- 4. Compact operators and singular value decomposition-- 5. Perturbation theory-- 6. Smoothing and regularization-- 7. Random elements in a Hilbert space-- 8. Mean and covariance estimation-- 9. Principal components analysis-- 10. Canonical correlation analysis-- 11. Regression-- References-- Indexes N2 - 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). 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 ER -