Interpolation and Extrapolation Optimal Designs 2
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A01=Giorgio Celant
A01=Michel Broniatowski
approximation
Author_Giorgio Celant
Author_Michel Broniatowski
Category=PB
chebyshev
choice
classical
continuous
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
error
functions
generalized
introduction
ix
norm
normed
order
polynomials
properties
remarks
respect
spaces
system
uniform
word simple
Product details
- ISBN 9781786300546
- Weight: 635g
- Dimensions: 155 x 239mm
- Publication Date: 04 Apr 2017
- Publisher: ISTE Ltd and John Wiley & Sons Inc
- Publication City/Country: GB
- Product Form: Hardback
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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.
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.
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.
