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Optimum experimental design for a regression on a hypercube-generalization of Hoel's result
Authors:Ewaryst Rafaj?owicz  Wojciech Myszka
Institution:(1) Institute of Engineering Cybernetics, Technical University of Wroclmidotaw, Wybrzezdote St. Wyspianacuteskiego 27, 50-370 Wroclmidotaw, Poland;(2) Institute of Material Science and Mechanical Engineering, Technical University of Wroclmidotaw, Wybrzezdote St. Wyspianacuteskiego 27, 50-370 Wroclmidotaw, Poland
Abstract:In the note Hoel's result (1965, Ann. Math. Statist., 36, 1097–1106) is generalized to a large family of experimental design optimality criterions. Sufficient conditions for optimality criterion are given, which ensure existence of the optimum experimental design measure which is a product of design measures on lower dimensional domains.
Keywords:Experimental design  regression  D-  L-  A-  Q-optimality
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