| 基于随机截尾数据下Weibull分布的参数极大似然估计与应用 |
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| 引用本文： | 李海波,张正平,胡彦平,郑德强.基于随机截尾数据下Weibull分布的参数极大似然估计与应用[J].强度与环境,2009,36(4):60-64. |
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| 作者姓名： | 李海波 张正平 胡彦平 郑德强 |
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| 作者单位： | 1. 北京强度环境研究所,北京,100076;哈尔滨工业大学航天学院,哈尔滨,150001
2. 北京强度环境研究所,北京,100076 |
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| 摘 要： | 对服从Weibull分布的随机截尾数据建立似然方程，给出形状参数和尺度参数的极大似然估计，通过参数极大似然估计对火箭发动机试车试验数据进行了可靠性评估分析，算例得到的形状参数估计值与实际工程应用的经验估计值十分接近。
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| 关 键 词： | Weibull分布 随机截尾数据 极大似然估计 参数估计 发动机试车数据 可靠性评估 |
Maximum likelihood estimation of Weibull distribution based on random censored data and its application |
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| LI Hai-bo,ZHANG Zheng-ping,HU Yan-ping,ZHENG De-qiang.Maximum likelihood estimation of Weibull distribution based on random censored data and its application[J].Structure & Environment Engineering,2009,36(4):60-64. |
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| Authors: | LI Hai-bo ZHANG Zheng-ping HU Yan-ping ZHENG De-qiang |
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| Institution: | 1 Beijing Institute of Structure and Environment Engineering;Beijing 100076;China;2 School of Astronautics;Harbin lnstitute of Technology;Harbin 150001 China |
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| Abstract: | Based on random censored data,the maximum likelihood estimation method of parameters of the Weibull distribution is put forward.By the parameters estimation,the reliability analysis of the engineering data of rocket engine trials is given.The estimation values of shape parameters and reliability analysis show that the method is feasible. |
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| Keywords: | Weibull distribution maximum likelihood estimation （MLE） random censored data parameters estimation rocket engine trials data reliability evaluation |
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