Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184) - Tapa blanda

Libro 30 de 72: Lecture Notes in Statistics

Melas, Viatcheslav B.

 
9780387987415: Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184)
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ISBN 10: 038798741X ISBN 13: 9780387987415
Editorial: Springer-Verlag New York Inc., 2010

Sinopsis

The subject of the book is a functional theory of optimal designs elaborated by the author during the last two decades. This theory relates to points and weight of optimal designs considered as functions of some values. For linear models these values are metric characteristics of the set of admissible experimental conditions, for example, the bounds of a segment. For nonlinear models they are true values of the parameter to be estimated. Particularly locally D- optimal designs for exponential regression as an important example of nonlinear models and E-optimal designs for polynomial regression on arbitrary segments will be fully studied.

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De la contraportada

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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Editorial
Springer-Verlag New York Inc.
Año de publicación
2010
Idioma
Inglés
ISBN 10 
038798741X
ISBN 13 
9780387987415
Encuadernación
Tapa blanda
Número de páginas
348
Contacto del fabricante
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