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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Melas, Viatcheslav B. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Lecture Notes in Statistics, 184
Temas:
Statistics .
Biometry.
Computer simulation.
Mathematical optimization.
Statistical Theory and Methods.
Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
Biostatistics.
Computer Modelling.
Optimization.
Acceso en línea:Texto Completo

MARC

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490 1 |a Lecture Notes in Statistics,  |x 2197-7186 ;  |v 184 
505 0 |a 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. 
520 |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). 
650 0 |a Statistics . 
650 0 |a Biometry. 
650 0 |a Computer simulation. 
650 0 |a Mathematical optimization. 
650 1 4 |a Statistical Theory and Methods. 
650 2 4 |a Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 
650 2 4 |a Biostatistics. 
650 2 4 |a Computer Modelling. 
650 2 4 |a Optimization. 
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830 0 |a Lecture Notes in Statistics,  |x 2197-7186 ;  |v 184 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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