Preprint No.
A-98-03
Christine H. Müller, Andrej Pázman
Applications of necessary and sufficient conditions for maximin efficient designs
Abstract: General sufficient and necessary conditions for minimax design are
here reconsidered in a form allowing application in various optimal
design problems. In combination with the
Elfving theorem they are used to find maximin efficient designs for a
two-dimensional linear extrapolation,
and to find the optimum design for estimating the maximum
point of a quadratic response function with intercept.
An alternative proof of
a recently published relation between D-optimality and maximin
efficiency is given. It is shown that for exponential growth curve
models with one parameter, maximin efficient designs can not be one point
designs. A similar result is obtained for growth curve
models with two parameters.
Keywords: Optimal design, equivalence theorem, nonlinear models and aspects, position of extremes, exponential growth model
Mathematics Subject Classification (MSC91): 62K05 Optimal designs
Language: ENG
Available: Pr-A-98-03.ps
Contact: Müller, Christine H. ;Georg-August-Universität Göttingen, Lotzestr. 13, D-37 083 Göttingen, Germany(chmuelle@math.uni-goettingen.de)
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