| 应用积分经验过程检验多元分布函数的相等性 |
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| 引用本文： | 景平,杨元.应用积分经验过程检验多元分布函数的相等性[J].应用数学,2007,20(3):614-620. |
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| 作者姓名： | 景平 杨元 |
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| 作者单位： | 1. 中国矿业大学(北京)理学院,北京,100083
2. 西南交通大学图书馆,四川,成都,610031 |
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| 摘 要： | 本文引进投影积分经验过程用于检验两个或K个多元分布函数的相等性，自助法用于确定临界值的逼近，数论方法有效地计算自动法确定的临界值，且进行了一些模拟试验．
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| 关 键 词： | 自助法 积分经验函数 积分经验过程 数论方法 投影寻踪 |
| 文章编号： | 1001-9847（2007）03-0614-07 |
| 修稿时间： | 2007-02-06 |
Testing the Equality of Multivariate Distributions Using the Integrated Empirical Processes |
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| JING Ping,YANG Yuan.Testing the Equality of Multivariate Distributions Using the Integrated Empirical Processes[J].Mathematica Applicata,2007,20(3):614-620. |
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| Authors: | JING Ping YANG Yuan |
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| Institution: | 1. College of Science, China University of Mining g~ Technology, Beij ing 100083, China ; 2. Libra ry, Southwest Jiaotong University, Chengdu 61 O031, China |
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| Abstract: | We introduce some projected integrated empirical processes for testing the equality of two and K multivariate distributions. The bootstrap is used for determining the approximate critical values. We show that the bootstrap test is consistent. A number-theoretic method is used for efficient computation of the bootstrap critical values. Some simulation results are also given. |
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| Keywords: | Bootstrap Integrated empirical distribution function Integrated empirical process Number-theoretic methods Projection pursuit |
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