TY - BOOK AU - ED - SpringerLink (Online service) TI - Functional Approach to Optimal Experimental Design T2 - Lecture Notes in Statistics, SN - 9780387316109 AV - QA276-280 U1 - 519.5 23 PY - 2006/// CY - New York, NY PB - Springer New York KW - Statistics KW - Computer simulation KW - Mathematical optimization KW - Mathematical statistics KW - Statistical Theory and Methods KW - Statistics for Engineering, Physics, Computer Science, Chemistry & Geosciences KW - Statistics for Life Sciences, Medicine, Health Sciences KW - Simulation and Modeling KW - Optimization N1 - 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; ZDB-2-SMA N2 - 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 1st5th St. Petersburg Workshops on Simulation (1994, 1996, 1998, 2001 and 2005) UR - http://dx.doi.org/10.1007/0-387-31610-8 ER -