Электронная книга: Giorgio Celant «Interpolation and Extrapolation Optimal Designs 2. Finite Dimensional General Models»

Interpolation and Extrapolation Optimal Designs 2. Finite Dimensional General Models

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.

Издательство: "John Wiley&Sons Limited"

ISBN: 9781119422365

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Interpolation and Extrapolation Optimal Designs V1. Polynomial Regression and Approximation TheoryThis book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most… — John Wiley&Sons Limited, электронная книга Подробнее...10810.32электронная книга

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