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Abstract
A new criterion for approximate designs called the standardized maximin criterion suited for both model discrimination and parameter estimation based on D- and Ds-optimality criteria is introduced and studied. It is proved that the computation of an experimental design which is optimal with respect to this criterion can be reduced to the computation of multiple experimental designs which are optimal with respect to the simpler weighted criterion. Several numerical examples that describe the efficiency of the proposed criterion are provided.
Additional information
Funding
The work was supported by the Russian Foundation for Basic Research (project no. 20-01-00096). We are also thankful to the unknown referees who provided valuable suggestions for improving the paper.