Concentration Sets, Elfving Sets and Norms in Optimum Design
The aim of the paper is to compare different notions which have appeared in the development of optimum experimental design (concentration (or confidence) ellipsoid, Elving set, lower bounds for variances) and to show that they are connected via certain norms. This helps in using them for a graphical representation of the properties of experimental designs in linear models, or for comparing possibilities of optimum designs in different models.
Keywordsdesign of experiments confidence ellipsoid minimal variance visualization of design
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- Fedorov, V.V. (1972) Theory of Optimal Experiments. New York: Academic Press.Google Scholar