Interpolation and Extrapolation Optimal Designs V2 - Finite Dimensional General Models Celant GiorgioPevná vazba
Interpolation and Extrapolation Optimal Designs V2 - Finite Dimensional General Models Celant GiorgioPevná vazba This book considers various extensions of the topics treated in the first volume of…
Specifikacia Interpolation and Extrapolation Optimal Designs V2 - Finite Dimensional General Models Celant GiorgioPevná vazba
Interpolation and Extrapolation Optimal Designs V2 - Finite Dimensional General Models Celant GiorgioPevná vazba
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 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. The regressors are supposed to belong to a generic finite dimensional Haar linear space, which substitutes for the classical polynomial case.
Elfving's theory and the theorem of equivalence are presented extensively. 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. The volume presents an account of the theory of the