Determining the parameters of statistical tests by fuzzy constraints
Article
Received:
- 23 Downloads
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.
Key Words
Acceptance sampling fuzzy sets hypothesis testing sample sizePreview
Unable to display preview. Download preview PDF.
References
- Bandemer H, Gottwald S (1993) Einführung in Fuzzy-Methoden, 4th ed. Akademie Verlag BerlinGoogle Scholar
- Molenaar W (1970) Approximations to the poisson, binomial and hypergeometric distribution functions Mathematical Centre Tracts 31. Mathematisch Centrum AmsterdamGoogle Scholar
- Rommelfanger H (1988) Entscheiden bei Unschärfe. Springer-Verlag Berlin/Heidelberg/New York/London/Paris/TokyoGoogle Scholar
- Uhlmann W (1982) Statistische Qualitätskontrolle 2nd ed. Teubner Verlag StuttgartGoogle Scholar
- Zadeh LA (1965) Fuzzy sets. Information and Control 8: 338–353CrossRefGoogle Scholar
- Zimmermann H-J (1991) Fuzzy set theory-and its applications 2nd ed. Kluwer Academic Publishers Boston/Dordrecht/LondonGoogle Scholar
Copyright information
© Physica-Verlag 1995