| 失效率为指数函数的模型中使用屏蔽数据的参数估计 |
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| 引用本文： | 姜红燕,张帼奋.失效率为指数函数的模型中使用屏蔽数据的参数估计[J].浙江大学学报(理学版),2006,33(2):125-128. |
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| 作者姓名： | 姜红燕 张帼奋 |
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| 作者单位： | 浙江大学,数学系,浙江,杭州,310027 |
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| 摘 要： | 考虑一个由独立、不完全相同的单元组成的串联系统,使用屏蔽数据时的参数估计.当失效率为指数函数时,给出了参数的极大似然估计和Bayes估计.在Bayes估计中,假定未知参数的先验分布为对称的三角分布.主要考虑两单元串联系统,并通过数据模拟对极大似然估计和Bayes估计这两种方法进行了比较.
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| 关 键 词： | 极大似然估计 Bayes估计 对称的三角分布 |
| 文章编号： | 1008-9497(2006)02-125-04 |
| 收稿时间： | 2004-10-18 |
| 修稿时间： | 2004年10月18 |
Parameter estimation in exponential failure rate model using masked data |
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| JIANG Hong-yan,ZHANG Guo-fen.Parameter estimation in exponential failure rate model using masked data[J].Journal of Zhejiang University(Sciences Edition),2006,33(2):125-128. |
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| Authors: | JIANG Hong-yan ZHANG Guo-fen |
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| Institution: | Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | Estimation of the parameters included in the lifetime distribution of the individual components in a series system with independent and nonidentical components are introduced by using masked data. The maximum likelihood and Bayes estimates of these parameters are deduced when the failure rates of the system components are assumed to be exponential with different parameters. In Bayes estimation, it is assumed that the unknown parameters have symmetrical triangular prior distributions. And numerical simulation study is introduced to discuss the comparison. |
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| Keywords: | maximum likelihood estimation Bayes estimation symmetrical triangular prior distribution |
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