1983
DOI: 10.1007/978-3-7091-9499-7
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Statistische Methode für die Zuverlässigkeitsanalyse

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Cited by 41 publications
(5 citation statements)
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“…the usual approach. A first run of experiments consisted of 25 trials, 15 of which were planned as a factorial experiment with a cubic design and edge lengths of 0.7 A s IFAV C 2.1 A; 400 V S URM S 1200 V; and 60°C 6 6, S 127°C.…”
Section: Experimental Results and A First Interpretation With The Weimentioning
confidence: 99%
“…the usual approach. A first run of experiments consisted of 25 trials, 15 of which were planned as a factorial experiment with a cubic design and edge lengths of 0.7 A s IFAV C 2.1 A; 400 V S URM S 1200 V; and 60°C 6 6, S 127°C.…”
Section: Experimental Results and A First Interpretation With The Weimentioning
confidence: 99%
“…In a further step the significance of these influences has to be verified by an analysis of variance [7]. The detailed procedure can be gleaned in [6] or any further statistical publication, which deals Advanced Materials Research Vols.…”
Section: Methodsmentioning
confidence: 99%
“…There seems to be no agreement in the literature on how to calculate the confidence intervals for this type of censoring [7]. The selected approach argues that the confidence intervals can be calculated with the help of the β-distribution as follows [8]: (see (4)) where B x (a, b) is the xth percentile of the β-distribution with the two shape parameters a and b. According to [8], this approach is also valid in case of no failures (k = 0), in which case no meaningful failure rate or lower limit can be derived and instead only the one sided upper limit [(1 − α) th percentile] is to be used.…”
Section: Iet Power Electronicsmentioning
confidence: 99%
“…The selected approach argues that the confidence intervals can be calculated with the help of the β ‐distribution as follows [8]: λ0][1Tln1Bα/2k+1,nk+1,1Tln)(1B1α/2)(k+1,nk+1 where B x ( a , b ) is the x th percentile of the β ‐distribution with the two shape parameters a and b . According to [8], this approach is also valid in case of no failures ( k = 0), in which case no meaningful failure rate or lower limit can be derived and instead only the one sided upper limit [(1 − α ) th percentile] is to be used. As the method might be disputable [7], the important upper limits of the failure rates of the experimental test runs without failures calculated with (4) were also compared with the confidence limits computed with a Bayesian analysis (by the statistics software Minitab 17): The values obtained from these two methods agree within 5%.…”
Section: Statistics Of Random Failuresmentioning
confidence: 99%