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Interpolation And Extrapolation Optimal Designs


Interpolation And Extrapolation Optimal Designs
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Interpolation And Extrapolation Optimal Designs V1


Interpolation And Extrapolation Optimal Designs V1
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Author : Giorgio Celant
language : en
Publisher: John Wiley & Sons
Release Date : 2016-03-31

Interpolation And Extrapolation Optimal Designs V1 written by Giorgio Celant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-31 with Mathematics categories.


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. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.



Interpolation And Extrapolation Optimal Designs 2


Interpolation And Extrapolation Optimal Designs 2
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Author : Giorgio Celant
language : en
Publisher: John Wiley & Sons
Release Date : 2017-04-12

Interpolation And Extrapolation Optimal Designs 2 written by Giorgio Celant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-12 with Mathematics categories.


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.



Interpolation And Extrapolation Optimal Designs 2


Interpolation And Extrapolation Optimal Designs 2
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Author : Giorgio Celant
language : en
Publisher: John Wiley & Sons
Release Date : 2017-05-08

Interpolation And Extrapolation Optimal Designs 2 written by Giorgio Celant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with Mathematics categories.


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.



Interpolation And Extrapolation Optimal Designs Polynomial Regression And Approximation Theory


Interpolation And Extrapolation Optimal Designs Polynomial Regression And Approximation Theory
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Author : Giorgio Celant
language : en
Publisher:
Release Date : 2016

Interpolation And Extrapolation Optimal Designs Polynomial Regression And Approximation Theory written by Giorgio Celant and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Approximation theory categories.




Interpolation And Extrapolation Optimal Designs V3


Interpolation And Extrapolation Optimal Designs V3
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Author : Celant
language : en
Publisher: Wiley-Blackwell
Release Date : 2017-04-20

Interpolation And Extrapolation Optimal Designs V3 written by Celant and has been published by Wiley-Blackwell this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with categories.




Interpolation And Extrapolation Optimal Designs V1


Interpolation And Extrapolation Optimal Designs V1
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Author : Giorgio Celant
language : en
Publisher: John Wiley & Sons
Release Date : 2016-06-07

Interpolation And Extrapolation Optimal Designs V1 written by Giorgio Celant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-07 with Mathematics categories.


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. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.



Interpolation And Extrapolation In Random Coefficient Regression Models


Interpolation And Extrapolation In Random Coefficient Regression Models
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Author : Rainer Schwabe
language : en
Publisher:
Release Date : 2015

Interpolation And Extrapolation In Random Coefficient Regression Models written by Rainer Schwabe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.




Moda 11 Advances In Model Oriented Design And Analysis


Moda 11 Advances In Model Oriented Design And Analysis
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Author : Joachim Kunert
language : en
Publisher: Springer
Release Date : 2016-06-06

Moda 11 Advances In Model Oriented Design And Analysis written by Joachim Kunert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.


This volume contains pioneering contributions to both the theory and practice of optimal experimental design. Topics include the optimality of designs in linear and nonlinear models, as well as designs for correlated observations and for sequential experimentation. There is an emphasis on applications to medicine, in particular, to the design of clinical trials. Scientists from Europe, the US, Asia, Australia and Africa contributed to this volume of papers from the 11th Workshop on Model Oriented Design and Analysis.



Multiple Objective Optimal Designs


Multiple Objective Optimal Designs
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Author : Yu-Chuang Huang
language : en
Publisher:
Release Date : 1996

Multiple Objective Optimal Designs written by Yu-Chuang Huang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Extrapolation And Optimal Decompositions


Extrapolation And Optimal Decompositions
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Author : Mario Milman
language : en
Publisher:
Release Date : 2014-01-15

Extrapolation And Optimal Decompositions written by Mario Milman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.