| 一类二元相关威布尔分布及其参数估计 |
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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及其参数估计[J]. 系统科学与数学, 2005, 25(6): 711-719 |
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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： | 考虑生存函数为的二元威布尔分布,提出θ1,θ2,α,δ的估计并讨论了它们的渐近性,最后作模拟计算,得出了参数估计的渐近效．
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| 关 键 词： | 二元威布尔分布 参数估计 渐近性质 模拟计算 |
| 修稿时间： | 2003-08-08 |
A CLASS OF BIVARIATE DEPENDENT WEIBULL DISTRIBUTIONS AND ITS PARAMETER ESTIMATION |
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| Wang Meichen,Ye Cinan,Xu Dongyuan. A CLASS OF BIVARIATE DEPENDENT WEIBULL DISTRIBUTIONS AND ITS PARAMETER ESTIMATION[J]. Journal of Systems Science and Mathematical Sciences, 2005, 25(6): 711-719 |
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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 the bivariate dependent Weibull distribution with reliability function ${overline{F}(x_{1},x_{2})}=exp{-[(frac{x_{1}^{frac{1}{alpha}}}{theta_{1}})^{frac{1}{delta}}+(frac{x_{2}^{frac{1}{alpha}}}{theta_{2}})^{frac{1}{delta}}]^{delta}}$,$x_{i}>0$, $alpha>0$, $1geqdelta>0$, $theta_{i}>0 (i=1,2)$ This article proposes moment-type estimates $hat{theta_{1}}, hat{theta_{2}},hat{alpha}, hat{delta}$for $theta_{1},theta_{2},alpha,delta$ and discusses their asymptotic properties. Numerical simulation results are given to demonstrate the asymptoticefficiency of the estimates. |
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| Keywords: | Bivariate Weibull distribution parameters estimate asymptotic property simulation. |
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