| THE PROBABILITY INEQUALITIES FOR THE SUPREME OF THE EMPIRICAL PROCESSES AND APPLICATIONS TO THE TESTING OF DATA STRUCTURE |
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| 作者姓名： | Zhu Lixing |
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| 作者单位： | Instituie of |
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| 摘 要： | This paper extends Huber's results and achieves the probability inequalities on the distribution of the Kolmogorov distance in the worst direction for some distribution elass, including the elliptieally symmetric distrtbution, uniform distribution on square. Combining these results with ohrvik's results the author argues the testing problem of data structure obtained by projection pursuit technique.
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| 收稿时间： | 4/6/1989 12:00:00 AM |
THE PROBABILITY INEQUALITIES FOR THE
SUPREME OF THE EMPIRICAL PROCESSES
AND APPLICATIONS TO THE TESTING
OF DATA STRUCTURE |
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| Zhu Lixing.THE PROBABILITY INEQUALITIES FOR THE SUPREME OF THE EMPIRICAL PROCESSES AND APPLICATIONS TO THE TESTING OF DATA STRUCTURE[J].Chinese Annals of Mathematics,Series B,1991,12(4):445-453. |
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| Authors: | Zhu Lixing |
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| Institution: | Instituie of Systems Science, Academia Sinica, Beijing, China. |
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| Abstract: | This paper extends Huberts results and achieves the probability inequalities on the distribution of the Kolmogoroy distance in the worst direction for some distribution class, including the elliptically symmetric distrtbution, uniform distribution on square.
Combining these results with ohrvik's results the author argues the testing problem of data structure obtained by projection pursuit technique. |
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| Keywords: | |
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