Optimum experimental design for a regression on a hypercube-generalization of Hoel's result |
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| Authors: | Ewaryst Rafaj?owicz Wojciech Myszka |
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| Institution: | (1) Institute of Engineering Cybernetics, Technical University of Wroc aw, Wybrze e St. Wyspia skiego 27, 50-370 Wrocaw, Poland;(2) Institute of Material Science and Mechanical Engineering, Technical University of Wrocaw, Wybrzee St. Wyspiaskiego 27, 50-370 Wrocaw, Poland |
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| 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. |
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| Keywords: | Experimental design regression D- L- A- Q-optimality |
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