Die messende Prüfung bei Abweichung von der Normalverteilungsannahme |
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Authors: | Dipl-Math M Behl |
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Institution: | (1) Institut für Angewandte Mathematik und Statistik, Universität Würzburg, Sanderring 2, D-8700 Würzburg |
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Abstract: | Summary For sampling inspection by variables in the one-sided case (item bad if variablex>a) under the usual assumption of normality with known variance 2 the operating characteristic is given by
, wherep denotes the fraction defective. If instead of a normal distribution ((·–a–)/) there is a distributionF((·–a–)/) whereF is sufficiently regular and normed like , one has the approximative operating characteristic
. It is shown that for arbitrarily fixed parametersn andc the function
takes the valueL
n,c
()
(p) at the pointp
F
(p)=1–F(––1(p)). Sufficient conditions for a simple behavior of the differencep
F
(p)–p are given. In the cases of rectangular and symmetrically truncated normal distribution these conditions are shown to be fulfilled. |
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Keywords: | |
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