Functional approach to optimal experimental design

The book presents a novel approach for studying optimal experimental designs. The functional approach consists of representing support points of the designs by Taylor series. It is thoroughly explained for many linear and nonlinear regression models popular in practice including polynomial, trigonom...

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Détails bibliographiques
Auteur principal : Melas Viatcheslav Borisovich (Auteur)
Format : Livre
Langue : anglais
Titre complet : Functional approach to optimal experimental design / Viatcheslav B. Melas
Publié : New York, NY : Springer New York , 2006
Collection : Lecture notes in statistics ; 184
Titre de l'ensemble : Lecture Notes in Statistics vol. 184
Disponibilité : L'accès complet au document est réservé aux usagers des établissements qui en ont fait l'acquisition
Contenu : Fundamentals of the Optimal Experimental Design. The Functional Approach. Polynomial Models. Trigonometrical Models. D-Optimal Designs for Rational Models. D-Optimal Designs for Exponential Models. E- and c-Optimal Designs. The Monod Model
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Documents associés : Autre format: Functional approach to optimal experimental design
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320 |a Bibiogr. p. 321-330. Index 
327 1 |a Fundamentals of the Optimal Experimental Design  |a The Functional Approach  |a Polynomial Models  |a Trigonometrical Models  |a D-Optimal Designs for Rational Models  |a D-Optimal Designs for Exponential Models  |a E- and c-Optimal Designs  |a The Monod Model 
330 |a The book presents a novel approach for studying optimal experimental designs. The functional approach consists of representing support points of the designs by Taylor series. It is thoroughly explained for many linear and nonlinear regression models popular in practice including polynomial, trigonometrical, rational, and exponential models. Using the tables of coefficients of these series included in the book, a reader can construct optimal designs for specific models by hand. The book is suitable for researchers in statistics and especially in experimental design theory as well as to students and practitioners with a good mathematical background. Viatcheslav B. Melas is Professor of Statistics and Numerical Analysis at the St. Petersburg State University and the author of more than one hundred scientific articles and four books. He is an Associate Editor of the Journal of Statistical Planning and Inference and Co-Chair of the organizing committee of the 1st 5th St. Petersburg Workshops on Simulation (1994, 1996, 1998, 2001 and 2005) 
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