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Stochastic ordering and schur-convex functions in comparison of linear experiments

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Abstract

The usual ordering of linear experiments is defined by quadratic risk of attainable linear estimators. It is shown that under normality assumption this ordering can be introduced in a risk-free way by stochastic ordering of the estimators. Moreover an application of Schur-convex functions to design of experiments is presented.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Agricultural University of Lublin, Akademicka 13, PL-20-934, Lublin, Poland

    Czesław Stępniak

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  1. Czesław Stępniak
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Partly supported by CPBP 0.1.02.

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Stępniak, C. Stochastic ordering and schur-convex functions in comparison of linear experiments. Metrika 36, 291–298 (1989). https://doi.org/10.1007/BF02614102

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  • DOI: https://doi.org/10.1007/BF02614102

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