Computing the minimal efficiency of designs by a differentiable approximation of -optimality criteria.
Bušová, Lenka (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Bušová, Lenka (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Bronisław Ceranka, Małgorzata Graczyk (2013)
Biometrical Letters
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In this paper, we study the relationships between regular A-optimal spring balance weighing designs and regular A-optimal chemical balance weighing designs. We give the basic relation between these designs in the case where the errors are uncorrelated and they have different variances. We give some examples of methods of construction of such designs.
Krystyna Katulska, Łukasz Smaga (2016)
Kybernetika
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In this paper we consider D-optimal and highly D-efficient chemical balance weighing designs. The errors are assumed to be equally non-negatively correlated and to have equal variances. Some necessary and sufficient conditions under which a design is D*-optimal design (regular D-optimal design) are proved. It is also shown that in many cases D*-optimal design does not exist. In many of those cases the designs constructed by Masaro and Wong (2008) and some new designs are shown to be...
M. Minoux (1986)
RAIRO - Operations Research - Recherche Opérationnelle
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Zhu, Zewen, Coster, Daniel C., Beasley, Leroy B. (2003)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Kharaghani, H. (2000)
The Electronic Journal of Combinatorics [electronic only]
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Pedregal, Pablo (2001)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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L. Elsner (1984)
Numerische Mathematik
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Ionin, Yuri J. (1998)
The Electronic Journal of Combinatorics [electronic only]
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H. Brzeskwiniewicz (1991)
Applicationes Mathematicae
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Ilya Molchanov, Sergei Zuyev (2010)
ESAIM: Probability and Statistics
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The paper develops an approach to optimal design problems based on application of abstract optimisation principles in the space of measures. Various design criteria and constraints, such as bounded density, fixed barycentre, fixed variance, etc. are treated in a unified manner providing a universal variant of the Kiefer-Wolfowitz theorem and giving a full spectrum of optimality criteria for particular cases. Incorporating the optimal design problems into conventional optimisation...