Abstract
In this paper an approach is presented how to determine the parameters of statistical tests by means of fuzzy constraints on the probabilities of the errors of type I and of type II and on the sample size; here the case of single sampling is considered. A general upper bound for the sample size of an optimal test is derived. Furthermore, the approach is illustrated by two applications: the determination of an optimal one-sided Gauß-test and the determination of an optimal test on a fraction particularly important in acceptance sampling.
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Arnold, B.F. Determining the parameters of statistical tests by fuzzy constraints. Metrika 42, 347–359 (1995). https://doi.org/10.1007/BF01894332
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DOI: https://doi.org/10.1007/BF01894332