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Functional Approach to Optimal Experimental Design

  • Viatcheslav B. Melas

Part of the Lecture Notes in Statistics book series (LNS, volume 184)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pages 1-4
  3. Pages 71-133
  4. Pages 135-195
  5. Pages 231-271
  6. Pages 273-316
  7. Back Matter
    Pages 317-333

About this book

Introduction

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).

Keywords

character design function functional functions model online set

Authors and affiliations

  • Viatcheslav B. Melas
    • 1
  1. 1.Mathematics & Mechanics FacultySt. Petersburg State UniversitySt. PetersburgRussia

Bibliographic information

  • DOI https://doi.org/10.1007/0-387-31610-8
  • Copyright Information Springer Science+Business Media, Inc. 2006
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-98741-5
  • Online ISBN 978-0-387-31610-9
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site