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《Chinese Journal of Applied Probability and Statistics》 2010-01
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On the Confidence Limits for the Mean of Weibull Distributions

Li Xuejing(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing,100080)  
The mean of products is an important performance index in reliability analysis.It is difficult to gain the exact confidence limits for the mean of Weibull distribution with two parameters,because there is no evident pivotal quantity for the mean.In this paper,we get the approximate confidence limits for the mean of Weibull distribution with two parameters by generalized pivotal quantity,WCF approximation and third-order procedure.Numerical examples are presented to show the accuracy of the methods when the sample is moderate and small.
【Fund】: 国家自然科学基金(10771010);; 数学天元基金(10926047);; 北京市属市管高等学校人才强教计划资助项目;; 北京工业大学博士启动基金(X0006013200902)资助
【CateGory Index】: O211.67
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