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Über die Existenz überall trennscharfer Tests

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Zusammenfassung

Es wird gezeigt, daß die Monotonie des Dichtequotienten nicht nur hinreichend, sondern auch notwendig für die Existenz eines überall trennscharfen Tests ist.

Summary

It is shown, that the monotony of the likelihood ratio is not only sufficient, but also necessary for the existence of an uniformly most powerful test.

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Literatur

  1. Karlin, S. und H. Rubin: The theory of decision procedures for distributions with monotone likelihood ratio, Ann. Math. Stat. Bd. 27 (1956), S. 272–299.

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  2. Kendall, M.G.: The advanced theory of statistics, Bd. II, 3. Aufl. Griffin & Co., 1951.

  3. Lehmann, E.L.: Testing statistical hypotheses, Wiley 1959.

  4. Neyman, J. und E.S. Pearson: Sufficient statistics and uniformly most powerful tests of statistical hypotheses, Stat. Res. Mem. Bd. 1 (1936), S. 113.

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Authors and Affiliations

  1. Girektor des Seminars für Wirtschafts- und Sozialstatistik an der Universität zu Köln, Albertus Magnus Platz 1

    J. Pfanzagl

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  1. J. Pfanzagl
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Pfanzagl, J. Über die Existenz überall trennscharfer Tests. Metrika 3, 169–176 (1960). https://doi.org/10.1007/BF02613449

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  • DOI: https://doi.org/10.1007/BF02613449

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