Interpolation and Extrapolation Optimal Designs 2 by Giorgio Celant

Interpolation and Extrapolation Optimal Designs 2 by Giorgio Celant

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Zusammenfassung

This book considers various extensions of the topics treated in the first volume of this series, in relation to the class of models and the type of criterion for optimality. The regressors are supposed to belong to a generic finite dimensional Haar linear space, which substitutes for the classical polynomial case.

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Interpolation and Extrapolation Optimal Designs 2 by Giorgio Celant

This book considers various extensions of the topics treated in the first volume of this series, in relation to the class of models and the type of criterion for optimality. The regressors are supposed to belong to a generic finite dimensional Haar linear space, which substitutes for the classical polynomial case. The estimation pertains to a general linear form of the coefficients of the model, extending the interpolation and extrapolation framework; the errors in the model may be correlated, and the model may be heteroscedastic. Non-linear models, as well as multivariate ones, are briefly discussed. The book focuses to a large extent on criteria for optimality, and an entire chapter presents algorithms leading to optimal designs in multivariate models. Elfving’s theory and the theorem of equivalence are presented extensively. The volume presents an account of the theory of the approximation of real valued functions, which makes it self-consistent.
G Celant, Associate Professor of Statistics, University of Padova, Italy.

Michel Broniatowski, Professor of Statistics, Universitei Pierre et Marie Curie, Paris, France.

SKU Nicht verfügbar
ISBN 13 9781786300546
ISBN 10 1786300540
Titel Interpolation and Extrapolation Optimal Designs 2
Autor Giorgio Celant
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag ISTE Ltd and John Wiley & Sons Inc
Erscheinungsjahr 2017-04-04
Seitenanzahl 320
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar