| 极值分布参数检验的样本崩溃点 |
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| 引用本文： | 侯紫燕(),张健(). 极值分布参数检验的样本崩溃点[J]. 系统科学与数学, 2000, 20(2): 228-237 |
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| 作者姓名： | 侯紫燕() 张健() |
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| 作者单位： | 侯紫燕（河南纺织高等专科学校, 郑州 450007） |
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| 基金项目： | 河南省教委自然科学基础研究基金资助课题. |
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| 摘 要： | 检验的样本崩溃点是样本中能逆转判决的离群值的最小比例.本文计算和分析了一类极值分布位置参数的似然比检验的样本崩溃点.并用截尾方法改进了这类检验的样本崩溃性质.
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| 关 键 词： | 检验的样本崩溃点，极小值分布，似然比检验. |
| 修稿时间： | 1997-01-07 |
THE SAMPLE BREAKDOWN POINTS OF THE TESTS FOR THE LOCAtION MRAMETER OF THE EXTREME VALUE DISTRIBUTION |
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| Zi Yan HOU,Jian ZHANG. THE SAMPLE BREAKDOWN POINTS OF THE TESTS FOR THE LOCAtION MRAMETER OF THE EXTREME VALUE DISTRIBUTION[J]. Journal of Systems Science and Mathematical Sciences, 2000, 20(2): 228-237 |
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| Authors: | Zi Yan HOU Jian ZHANG |
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| Affiliation: | (1)Henan Textile College, Zhengzhou 450007,P.R.China;(2)Institute of Systems Science, Academia Sinica, Beijing 100080,P.R.China |
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| Abstract: | The sample breakdown of a test is defined as the smallest proportion of arbitrary outlier in the sample that can reverse the test decision. In this paper) we calculate and analyze the sample breakdown point of the maximum likelihood ratio test for the location parameter of the extreme value distribution with known scale parameter. The sample breakdown behavior of this kind of tests is improved by the truncation method. A numerical example is given. |
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| Keywords: | Sample breakdown point of a test extreme value distribution likelihood ratio test. |
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