| 一类二元相关威布尔分布的可靠性问题 |
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| 引用本文： | 汪美辰,叶慈南,徐冬元. 一类二元相关威布尔分布的可靠性问题[J]. 应用概率统计, 2006, 22(2): 127-136 |
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| 作者姓名： | 汪美辰 叶慈南 徐冬元 |
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| 作者单位： | 上海理工大学理学院,上海,200093 |
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| 摘 要： | 本文考虑生存函数为${ol{F}(x_{1},x_{2})}=exp{-[(x_{1}^{1/alpha}/theta_{1})^{1/delta}+(x_{2}^{1/alpha}/theta_{2})^{1/delta}]^{delta}},;x_{i}>0,;alpha>0$, $1geqdelta>0,;theta_{i}>0;(i=1,2)$的二元威布尔分布的两种可靠性问题, 提出可靠度$pr$的估计并讨论了它们的渐近性, 最后还作了模拟计算.
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| 关 键 词： | 二元威布尔分布 可靠度 渐近性质 应力--强度结构模型 模拟计算. |
| 收稿时间： | 2004-07-19 |
| 修稿时间： | 2004-12-27 |
Estimation of Structural Reliability Relative to a Dependent Bivariate Weibull Distribution |
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| WANG MEICHEN,YE CINAN,XU DONGYUAN. Estimation of Structural Reliability Relative to a Dependent Bivariate Weibull Distribution[J]. Chinese Journal of Applied Probability and Statisties, 2006, 22(2): 127-136 |
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| Authors: | WANG MEICHEN YE CINAN XU DONGYUAN |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai, 200093 |
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| Abstract: | Consider a dependent bivariate distribution whose reliability function is $$ol{F}(x_1,x_2)=exp{-[(x_1^{1/alpha}/theta_1)^{1/delta}+(x_2^{1/alpha}/theta_2)^{1/delta}]^{delta}},;;;x_i>0,,alpha>0,,1geqdelta>0,,theta_i>0;(i=1,2).$$Two kinds of stress-strength model are discussed respectively. Moment-type estimators of structural reliability for those models are proposed and their asymptotic properties are discussed. At last, a simulation result is given. |
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| Keywords: | Bivariate Weibull distribution reliability asymptotic property stress-strength structural model simulation |
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