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The unbiasedness of optimal statistical criteria. (English. Ukrainian original) Zbl 0844.62020

Theory Probab. Math. Stat. 48, 61-67 (1994); translation from Teor. Jmovirn. Mat. Stat. 48, 89-99 (1993).
Summary: The unbiasedness of optimal statistical criteria in the sense of B. L. van der Waerden [Mathematische Statistik. (1957; Zbl 0077.12901)] and E. L. Lehmann [Testing statistical hypothesis. (1959; Zbl 0089.14102)] for testing several hypotheses is studied.

MSC:

62F03 Parametric hypothesis testing
62C99 Statistical decision theory
62G10 Nonparametric hypothesis testing
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