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Optimum experimental design for a regression on a hypercube-generalization of Hoel's result

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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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Authors and Affiliations

  1. Institute of Engineering Cybernetics, Technical University of Wrocŀaw, Wybrzeże St. Wyspiańskiego 27, 50-370, Wrocŀaw, Poland

    Ewaryst Rafajłowicz

  2. Institute of Material Science and Mechanical Engineering, Technical University of Wrocŀaw, Wybrzeże St. Wyspiańskiego 27, 50-370, Wrocŀaw, Poland

    Wojciech Myszka

Authors
  1. Ewaryst Rafajłowicz
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  2. Wojciech Myszka
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Rafajłowicz, E., Myszka, W. Optimum experimental design for a regression on a hypercube-generalization of Hoel's result. Ann Inst Stat Math 40, 821–827 (1988). https://doi.org/10.1007/BF00049434

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  • DOI: https://doi.org/10.1007/BF00049434

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