{"product_id":"theoretical-foundations-of-functional-data-tailen-hsing-9780470016916","title":"Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators","description":"\u003cp\u003e\u003ci\u003eTheoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators\u003c\/i\u003e provides a uniquely broad compendium of the key mathematical concepts and results that are relevant for the theoretical development of functional data analysis (FDA).\u003cbr\u003e\u003cbr\u003eThe 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.\u003cbr\u003e\u003cbr\u003eThis 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Tailen Hsing, Randall Eubank\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0470016914\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780470016916\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Wiley\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/06\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 368\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.90d","brand":"Tailen Hsing","offers":[{"title":"Hardcover","offer_id":43919845228799,"sku":"9780470016916","price":103.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_29b7bc72-bdf5-4f62-89e1-8cdde4aef275.jpg?v=1680812216","url":"https:\/\/www.whiterainbookhouse.com\/products\/theoretical-foundations-of-functional-data-tailen-hsing-9780470016916","provider":"WR Book House","version":"1.0","type":"link"}