Interpolation and extrapolation optimal
β Broniatowski, Michel; Celant, Giorgio
π Library
π
2017
π English
β¦ LIBER β¦
π
Interpolation and Extrapolation Optimal Designs 2: Finite Dimensional General Models
β Scribed by Giorgio Celant, Michel Broniatowski
- Publisher
- Wiley-ISTE
- Year
- 2017
- Tongue
- English
- Leaves
- 311
- Series
- Mathematics and Statistics
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ 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. Elfvingβs 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
β¦ Table of Contents
Content: 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.
β¦ Subjects
MATHEMATICS / General / bisacsh.;MATHEMATICS / General.
π SIMILAR VOLUMES
Interpolation and extrapolation optimal
β Broniatowski, Michel; Celant, Giorgio
π Library
π
2016
π Wiley-ISTE
π English
<p>This 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 experimental fields.</p> <p>In this volume, the authors emphasize the importance of problems associated wit
Finite dimensional convexity and optimiz
β Monique Florenzano, Cuong Le Van, P. Gourdel
π Library
π
2001
π Springer
π English
Finite Dimensional Convexity and Optimiz
β Monique Florenzano, Cuong Le Van (auth.)
π Library
π
2001
π Springer-Verlag Berlin Heidelberg
π English
<p>The primary aim of this book is to present notions of convex analysis which constitute the basic underlying structure of argumentation in economic theory and which are common to optimization problems encountered in many applications. The intended readers are graduate students, and specialists of
Generalized Network Design Problems: Mod
β Pop P.C.
π Library
π
2012
π de Gruyter
π English
Generalized network design is a very hot topic of research. The monograph describes in a unified manner a series of mathematical models, methods, propositions, and algorithms developed in the last years on generalized network design problems. The book consists of seven chapters, where in addition to
Generalized Network Design Problems: Mod
β Petrica C. Pop
π Library
π
2012
π De Gruyter
π English
<p>Combinatorial optimization is a fascinating topic. Combinatorial optimization problems arise in a wide variety of important fields such as transportation, telecommunications, computer networking, location, planning, distribution problems, etc. Important and significant results have been obtained