| 单个总体方差差异的U统计量检验法 |
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| 引用本文： | 陆媛媛,宋立新.单个总体方差差异的U统计量检验法[J].吉林大学学报(理学版),2011,49(6):1064-1067. |
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| 作者姓名： | 陆媛媛 宋立新 |
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| 作者单位： | 吉林师范大学 数学学院, 吉林 四平 136000 |
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| 基金项目： | 国家自然科学基金(批准号:10971084); 吉林省教育厅“十一五”规划重点项目(批准号:吉教科合字[2010]141) |
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| 摘 要： | 给出一种利用非参数统计中U统计量构造检验单个总体方差差异的方法,与χ2检验法相比,该方法不仅适用于更宽泛的场合,而且其渐近相对效率为1.
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| 关 键 词： | U统计量 方差检验 渐近正态性 渐近相对效率 |
| 收稿时间： | 2011-03-18 |
U-Statistics Testing Method in Testing Variance Differences of a Single Population |
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| LU Yuan-yuan,SONG Li-xin.U-Statistics Testing Method in Testing Variance Differences of a Single Population[J].Journal of Jilin University: Sci Ed,2011,49(6):1064-1067. |
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| Authors: | LU Yuan-yuan SONG Li-xin |
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| Institution: | College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China |
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| Abstract: | A method about testing variance differences of a singlepopulation was constructed based on U statistics. This method, compared with the χ2 testing, can be applied to more general situations, and its asymptotic relative efficiency is 1. |
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| Keywords: | U-statistics variance testing asymptotic normality asymptotic relative efficiency |
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