Spline Models for Observational Data Grace Wahba

ISBN: 9780898712445

Published:

Paperback

180 pages


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Spline Models for Observational Data  by  Grace Wahba

Spline Models for Observational Data by Grace Wahba
| Paperback | PDF, EPUB, FB2, DjVu, audiobook, mp3, RTF | 180 pages | ISBN: 9780898712445 | 3.61 Mb

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 aMoreThis 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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