Committee login






Small thumbnail

Reliability Investigation of LED Devices for Public Light Applications

Durability, Robustness and Reliability of Photonic Devices Set

Small thumbnail

Aerospace Actuators 2

Signal-by-Wire and Power-by-Wire

Small thumbnail

Flash Memory Integration

Performance and Energy Considerations

Small thumbnail

Mechanics of Aeronautical Solids, Materials and Structures

Small thumbnail

Engineering Investment Process

Making Value Creation Repeatable

Small thumbnail

Space Strategy

Small thumbnail

Distributed Systems

Concurrency and Consistency

Small thumbnail

Fatigue of Textile and Short Fiber Reinforced Composites

Durability and Ageing of Organic Composite Materials Set Volume 1

Small thumbnail

Management of the Effects of Coastal Storms

Policy, Scientific and Historical Perspectives

Small thumbnail

Computational Color Science

Variational Retinex-like Methods

Small thumbnail

Interpolation and Extrapolation Optimal Designs 2

Finite Dimensional General Models

Giorgio Celant, University of Padua, Italy Michel Broniatowski, Université Pierre et Marie Curie, France

ISBN: 9781786300546

Publication Date: April 2017   Hardback   316 pp.

140.00 USD

Add to cart


Ebook Ebook


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 criterions for optimality, and an entire chapter presents algorithms leading to optimal designs in multivariate models. Elfvings 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.


1. Approximation of Continuous Functions in Normed Spaces.
2. Chebyshev Systems.
3. Uniform Approximations in a Normed Space.
4. Calculation of the Best Uniform Approximation in a Chebyshev System.
5. Optimal Extrapolation Design for the Chebyshev Regression.
6. Optimal Design for Linear Forms of the Parameters in a Chebyshev Regression.
7. Special Topics and Extensions.
8. Multivariate Models and Algorithms.

About the Authors

Giorgio Celant is Associate Professor in the Department of Statistical Sciences at the University of Padua in Italy, and has lectured on Optimal Designs for many years.
Michel Broniatowski is Full Professor in Theoretical and Applied Statistics at University Pierre and Marie Curie in Paris, France, and Vice-Chairman of the Statistics Department.


DownloadTable of Content - PDF File - 151 Kb

Related Titles

0.01927 s.