Functional Approach to Optimal Experimental Design

• Main Author: Melas, Viatcheslav B. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: Lecture Notes in Statistics, 184
• Subjects: Statistics.; Computer simulation.; Mathematical optimization.; Statistical Theory and Methods.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Statistics for Life Sciences, Medicine, Health Sciences.; Simulation and Modeling.; Optimization.

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...

Table of Contents:

• 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.