三参数威布尔分布的置信限

 本文给出了三参数威布尔分布置信限曲线的一般函数关系式,提出了一种利用秩分布确定该关系式中参数的方法,从而求得三参数威布尔分布的单侧置信限和双侧置信区间。该方法便于工程应用,并且可以推广到其他连续分布的情况。

CONFIDENCE LIMITS OF THREE-PARAMETER WEIBULL POPULATION PERCENTILES

The confidence limits of Weibull population percentiles have become prominent in engineering design, but there is still no method by which those of three-parameter Weibull population percentiles are statisfactorily obtained. In this paper, a general function relation between the confidence limit of three-parameter Weibull population percentile and its percentage is given by means of Monte-Carlo simulation and fuzzy mathematics method. And a method of calculating the parameters in the relation is presented by the rank distribution. Using the method, one-sided confidence limits and two-sided confidence intervals of three-parameter Weibull population percentiles can be deter?imined at a given confidence level. This method is simple and convenient for application in engineering, and may also be applied to other continuous distributions. Many data of fatigue, durability, wind speed, instrument wavetube, earthquake and so on have been treated by the method with satisfaction.