Functional Approach to Optimal Experimental Design (Lecture Notes in Statistics)

✍ Scribed by Viatcheslav B. Melas

• Year: 2005
• Tongue: English
• Leaves: 342
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Preliminaries......Page 2
Contents......Page 7
1 Fundamentals of the Optimal Experimental Design......Page 14
2 The Functional Approach......Page 32
3 Polynomial Models......Page 80
4 Trigonometrical Models......Page 144
5 D Optimal Designs for Rational Models......Page 206
6 D Optimal Designs for Exponential Models......Page 226
7 E and c Optimal Designs......Page 240
8 The Monod Model......Page 282
Appendix......Page 326
References......Page 330
Index......Page 340