Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184) - Image 1

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Springer Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184)

Name: Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184)
Brand: Springer
Price: 26.06 GBP
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Computer Science

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Description

The present book is devoted to studying optimal experimental designs for a wide class of linear and nonlinear regression models. This class includes polynomial, trigonometrical, rational, and exponential models as well as many particular models used in ecology and microbiology. As the criteria of optimality, the well known D-, E-, and c-criteria are implemented. The main idea of the book is to study the dependence of optimal - signs on values of unknown parameters and on the bounds of the design interval. Such a study can be performed on the base of the Implicit Fu- tion Theorem, the classical result of functional analysis. The idea was ?rst introduced in the author’s paper (Melas, 1978) for nonlinear in parameters exponential models. Recently, it was developed for other models in a n- ber of works (Melas (1995, 2000, 2001, 2004, 2005), Dette, Melas (2002, 2003), Dette, Melas, Pepelyshev (2002, 2003, 2004b), and Dette, Melas, Biederman (2002)). Thepurposeofthepresentbookistobringtogethertheresultsobtained and to develop further underlying concepts and tools. The approach, m- tioned above, will be called the functional approach. Its brief description can be found in the Introduction. The book contains eight chapters. The ?rst chapter introduces basic concepts and results of optimal design theory, initiated mainly by J.Kiefer.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 038798741X
Category: Books > Subjects > Computing & Internet > Computer Science
Domain: Amazon UK
Release Date: 08 December 2005
Listed Since: 09 January 2007

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Springer Functional Approach to Optimal Experimental Design: 184 (Lecture Notes in Statistics, 184)

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