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Testing hypotheses by using optimal statistical criteria. II

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the structure of the critical function of an optimal statistical criterion for testing an arbitrary finite set of simple alternative hypotheses.

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References

  1. Yu. V. Kuk and Yu. I. Petunin, “Testing hypotheses by using optimal statistical criteria. I,”Ukr. Mat. Zh.,46, No. 4, 378–388 (1994).

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  2. G. Birkhoff,Lattice Theory, New York (1948).

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Authors and Affiliations

  1. Institute of Cybernetics, Ukrainian Academy of Sciences, Kiev

    Yu. V. Kuk

  2. Kiev University, Kiev

    Yu. I. Petunin

Authors
  1. Yu. V. Kuk
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  2. Yu. I. Petunin
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 5, pp. 506–515, May, 1994.

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Kuk, Y.V., Petunin, Y.I. Testing hypotheses by using optimal statistical criteria. II. Ukr Math J 46, 539–549 (1994). https://doi.org/10.1007/BF01058517

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  • DOI: https://doi.org/10.1007/BF01058517

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