Spline Models for Observational Data (CBMS-NSF Regional Conference Series in Applied Mathematics)

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9780898712445: Spline Models for Observational Data (CBMS-NSF Regional Conference Series in Applied Mathematics)

This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.

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Book Description:

This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals.

Review:

'This is a thorough account of non-parametric regression using splines, eschewing other approaches, and approaching splines themselves via the technology of reproducing kernel Hilbert spaces. The result is an impressively unified, consistent, treatment of a wide variety of problems, some really quite hard ... This is an impressive record of research, offering stimulation for further investigation.' P. J. Green, Short Book Reviews of the International Statistical Institute

'The book provides a rather complete unified treatment of smoothing splines, starting with the classical polynomial smoothing spline, and including the periodic smoothing spline on a circle, both scalar and vector-valued splines on the sphere, and thin plate splines in the plane and in higher dimensional Euclidean spaces. In addition, it treats two special kinds of smoothing splines called partial splines and additive splines. The splines discussed here have numerous practical applications in data fitting of economical, medical, meteorological, and radiation data. She provides applications to the solution of Fredholm integral equations of the first kind, fluid flow problems in porous media, and certain inverse problems.' Larry L. Schumaker, Vanderbilt University, , SIAM Review

' ... The reviewer considers the monograph a valuable contribution and recommends it strongly to everyone with some interest in this important area of statistics.' Girdhar G. Agarwal, Mathematical Reviews

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Wahba, Grace
Editorial: SIAM: Society for Industrial and Applied Mathematics (1990)
ISBN 10: 0898712440 ISBN 13: 9780898712445
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Descripción SIAM: Society for Industrial and Applied Mathematics, 1990. Estado de conservación: New. *FREE DOMESTIC SHIPPING UNTIL MONDAY, Dec. 18* 180 pp., paperback, NEW!!. Nº de ref. de la librería ZB1086514

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Grace Wahba
Editorial: Society for Industrial Applied Mathematics,U.S., United States (1990)
ISBN 10: 0898712440 ISBN 13: 9780898712445
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 1990. Paperback. Estado de conservación: New. New.. Language: English . Brand New Book. This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals. Nº de ref. de la librería AAN9780898712445

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Grace Wahba
Editorial: Society for Industrial Applied Mathematics,U.S., United States (1990)
ISBN 10: 0898712440 ISBN 13: 9780898712445
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 1990. Paperback. Estado de conservación: New. New.. Language: English . Brand New Book. This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals. Nº de ref. de la librería AAN9780898712445

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Descripción SIAM: Society for Industrial and Applied Mathematics, 1990. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0898712440

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Descripción Society for Industrial and Applied Mathematics, 1990. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780898712445

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Descripción Society for Industrial & Applied, 1990. Paperback. Estado de conservación: Brand New. illustrated edition. 180 pages. 10.00x7.00x0.50 inches. In Stock. Nº de ref. de la librería __0898712440

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Descripción SIAM: Society for Industrial a, 1990. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110898712440

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Descripción Society for Industrial and Applied Mathematics, SIAM. PAPERBACK. Estado de conservación: New. 0898712440 New Condition. Nº de ref. de la librería NEW7.0502102

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