Interpolation and Extrapolation Optimal Designs 2: Finite Dimensional General Models (Mathematics and Statistics) - Hardcover

Celant, Giorgio; Broniatowski, Michel

Hardcover

ISBN 10: 1786300540 ISBN 13: 9781786300546

Publisher: Wiley-ISTE, 2017

Synopsis

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.

About this title

About the Author

G Celant, Associate Professor of Statistics, University of Padova, Italy.

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

Edition details

• Publisher: Wiley-ISTE
• Publication date: 2017
• ISBN 10: 1786300540
• ISBN 13: 9781786300546
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 320