| 失效率局部成比例的伽玛分布和威布尔分布顺序统计量的随机比较 |
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| 引用本文： | 冶建华,马明,刘华,马刚.失效率局部成比例的伽玛分布和威布尔分布顺序统计量的随机比较[J].西北民族学院学报,2008,29(1). |
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| 作者姓名： | 冶建华 马明 刘华 马刚 |
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| 作者单位： | [1]西北民族大学计算机科学与信息工程学院 [2]甘肃兰州 |
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| 摘 要： | 在独立情形下伽玛分布和威布尔分布顺序统计量的随机比较基础上,给出了随机变量以一般随机序局部大于和局部依序列条件递增的概念.讨论失效率函数局部成比例这种非独立条件下的伽玛分布和威布尔分布的顺序统计量的随机比较,得出当形状参数不变、尺度参数占优条件下二元最小顺序统计量的随机关系.此外,基于这种情形,得出威布尔分布顺序统计量是局部依序列条件递增的.
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| 关 键 词： | 随机比较 顺序统计量 局部成比例 伽玛分布 威布尔分布 局部依序列条件递增 占优 |
Stochastic comparisons of order statistics from Gamma and Weibull distributions with the failure rates locally proportional |
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| YE Jian-hua,MA Ming,LIU Hua,MA Gang.Stochastic comparisons of order statistics from Gamma and Weibull distributions with the failure rates locally proportional[J].Journal of Northwest Minorities University(Natural Science ),2008,29(1). |
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| Authors: | YE Jian-hua MA Ming LIU Hua MA Gang |
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| Abstract: | The article reviewed the stochastic comparisons of order statistics of the Gamma distributions and Weibull distributions under independent circumstances. Based on that, we give the definitions of random variations locally lager and locally conditionally increasing in sequence, and, discussed the stochastic comparisons of the Gamma distributions and Weibull distributions that the failure rate functions locally proportional under non-independent circumstances. We got random relationships of bivariate minimum order statistics when shape parameter is fixed ,and scale parameter is majorized, besides, we got order statistics of Weibull distribution is locally conditionally increasing in sequence. |
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| Keywords: | Stochastic comparisons Order statistics Locally proportional Gamma distributions Weibull distributions Locally conditionally increasing in sequence Majorization |
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