| 关于威布尔分布的一种参数估计方法 |
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| 引用本文： | 金少华,李志刚,陆俭国,宛艳萍. 关于威布尔分布的一种参数估计方法[J]. 天津科技大学学报, 2003, 0(Z1) |
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| 作者姓名： | 金少华 李志刚 陆俭国 宛艳萍 |
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| 作者单位： | 河北工业大学理学院，河北工业大学电气与自动化学院，河北工业大学电气与自动化学院，河北工业大学计算机科学与软件学院 天津 300130，天津 300130，天津 300130，天津 300130 |
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| 基金项目： | 河北省自然科学基金重点资助项目,(编号601044) |
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| 摘 要： | 在可靠性理论研究与应用工作中,需要计算产品平均寿命。而产品的平均寿命与产品的失效分布类型以及分布的参数密切相关。但在实际工作中,产品的失效分布类型及其参数值常常是难以准确确定地计算出产品的平均寿命的数值。针对此问题本文首次联合利用中位秩及最小二乘法给出了估计威布尔分布参数的一种新方法,给出了平均寿命置信限的估计,并结合实际试验数据进行了计算。
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| 关 键 词： | 参数估计 威布尔分布 最小二乘法 中位秩 平均寿命 |
A PARAMETER ESTIMATION METHOD FOR WEIBULL DISTRIBUTION |
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| JIN Shao-hua,LI Zhi-gang,LU Jian-guo,WAN Yan-ping School of Science,Hebei University of Technology,Tianjin ,China School of Electrical Engineering,Hebei University of Technology,Tianjin ,China, School of Computer Science and Software Engineering,Hebei University of Technology,Tianjin ,China. A PARAMETER ESTIMATION METHOD FOR WEIBULL DISTRIBUTION[J]. Journal of Tianjin University of Science & Technology, 2003, 0(Z1) |
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| Authors: | JIN Shao-hua LI Zhi-gang LU Jian-guo WAN Yan-ping School of Science Hebei University of Technology Tianjin China School of Electrical Engineering Hebei University of Technology Tianjin China School of Computer Science Software Engineering Hebei University of Technology Tianjin China |
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| Affiliation: | JIN Shao-hua,LI Zhi-gang,LU Jian-guo,WAN Yan-ping School of Science,Hebei University of Technology,Tianjin 300130,China School of Electrical Engineering,Hebei University of Technology,Tianjin 300130,China, School of Computer Science and Software Engineering,Hebei University of Technology,Tianjin 300130,China |
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| Abstract: | In the theory research and application work of the reliability, we wish to find the accuratecalculating formula about the mean time to failure of the products easily. But the mean time to fail-ure of the products is determined by their failure distribution. In the actual works, the failure distri-bution of the products can not be determined easily. So we can hardly calculate the mean time tofailure of the products accurately. In this paper, a new approach is developed to estimate theWeibull distribution' s parameters by using the Median rank and the least-squares method for thefirst time. The estimation of the confidence limits of the mean time to failure is given. A actual testdata is computed by using the proposed method. |
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| Keywords: | parameter estimation Weibull distribution least-squares method Median rank mean time to failure |
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