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On the confidence limits for the mean of Weibull distributions. (Chinese. English summary) Zbl 1222.62048

Summary: The mean of products is an important performance index in reliability analysis. It is difficult to gain exact confidence limits for the mean of Weibull distributions with two parameters, because there is no evident pivotal quantity for the mean. We obtain approximate confidence limits for the mean of Weibull distributions with two parameters by generalized pivotal quantities, WCF approximation and a third-order procedure. Numerical examples are presented to show the accuracy of the methods when the sample is moderate and small.

MSC:

62F25 Parametric tolerance and confidence regions
62N05 Reliability and life testing
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