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| 引用本文： | 李学京.�������ֲ���ƽ���������������������о�[J].应用概率统计,2010,26(1):47-56. |
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| 作者姓名： | 李学京 |
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| 作者单位： | ??????????????????? |
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| 基金项目： | 国家自然科学基金，国家自然科学数学天元青年基金，北京市属市管高校人才强教计划，北京工业大学博士科研启动基金 |
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| 摘 要： | 设备的平均寿命是可靠性研究中的的一个重要指标.对威布尔分布来说, 由于平均寿命没有明显的枢轴量,因此给出平均寿命的精确的置信限较为困难.本文分别利用广义枢轴量、WCF展开以及三阶法三种方法,得到了设备寿命服从威布尔分布时的平均寿命的(近似)置信下限.最后对上述三种方法分别进行了模拟比较,结果显示文中给出的方法对于中小样本情形下得到的平均寿命的置信限是比较精确的.
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| 关 键 词： | ????????????? ?????????? WCF??? ?????. |
On the Confidence Limits for the Mean of Weibull Distributions |
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| LI XUEJING.On the Confidence Limits for the Mean of Weibull Distributions[J].Chinese Journal of Applied Probability and Statisties,2010,26(1):47-56. |
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| Authors: | LI XUEJING |
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| Institution: | Academy of Mathematics and Systems Science,Chinese Academy of Sciences |
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| Abstract: | The mean of products is an importantperformance index in reliability analysis. It is difficult to gainthe exact confidence limits for the mean of Weibull distributionwith two parameters, because there is no evident pivotal quantityfor the mean. In this paper, we get the approximate confidencelimits for the mean of Weibull distribution with two parameters bygeneralized pivotal quantity, WCF approximation and third-orderprocedure. Numerical examples are presented to show the accuracy ofthe methods when the sample is moderate and small. |
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| Keywords: | The confidence limits for the mean generalized pivotal quantity WCF approximation third-order procedure |
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