Functional Approach to Optimal Experimental Design

Häftad, Engelska, 2005

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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.

Produktinformation

Utgivningsdatum2005-12-08
Mått148 x 210 x undefined mm
FormatHäftad
SpråkEngelska
SerieLecture Notes in Statistics
Antal sidor338
FörlagSpringer-Verlag New York Inc.
ISBN9780387987415

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Matematisk statistik inom Naturvetenskap och teknik
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Optimering inom Naturvetenskap och teknik

From the reviews: "This monograph is a welcome addition to the statistical literature on optimal experimental designs. ... This will be a useful reference book for researchers in this area." (Damaraju Raghavarao, Mathematical Reviews, Issue 2006 k) "The material presented is at a sophisticated mathematical level, with a strong emphasis on the construction to why these strategies create designs that are desirable for practical implementation. The unified approach helps consolidate the individual pieces that the author has published previously, and provides greater insights into the applicability of the methods." (Christine M. Anderson-Cook, Journal of the American Statistical Association, Vol. 102, No. 477, 2007)