Spline Models for Observational Data by Grace Wahba
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Spline Models for Observational Data
By Grace Wahba

Spline Models for Observational Data

By (author) See other recent books by Grace Wahba
Series edited by Ron Rozier See other recent books by Ron Rozier
Format: Paperback

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Spline Models for Observational Data by Grace Wahba

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. 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 Details

ISBN: 9780898712445
ISBN-10: 0898712440
Format: Paperback
(228mm x 152mm x 11mm)
Pages: 180
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 1-Sep-1990
Country of Publication: United States


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