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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 framework makes...
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 framework...
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