| 韦布尔分布秩序统计量的随机比较 |
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| 引用本文： | 方江林.韦布尔分布秩序统计量的随机比较[J].内江师范学院学报,2008,23(6):33-34. |
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| 作者姓名： | 方江林 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104 |
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| 摘 要： | 证明了对于独立不同分布的两个韦布尔样本．在韦布尔分布的形状参数小于1的情况下，样本对应的秩序统计量间存在一致的随机序；当形状参数大于1时，最小秩序统计量和最大秩序统计量的随机序相反．
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| 关 键 词： | 随机序 韦布尔分布 秩序统计量 |
Stochastic Comparisons of Order Statistics from Weibull Distributions |
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| FANG Jiang-lin.Stochastic Comparisons of Order Statistics from Weibull Distributions[J].Journal of Neijiang Teachers College,2008,23(6):33-34. |
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| Authors: | FANG Jiang-lin |
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| Institution: | FANG Jiang-lin (Hunan Institute of Engineering, Department of Mathematics and Physics, Xiangtan, Hunan 411104, China) |
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| Abstract: | For two independent samples with weibull distributions, it is proved that the order statistic of weibull distribution is larger in stochastic order when the shape parameter is smaller than or equal to 1. However, when the shaper parameter is lager than 1, we only obtain that the minima is larger and maxima is smaller in stochastic order. |
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| Keywords: | Weibull distribution stochastic ordering order statistic |
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