| BOOTSTRAPPING GENERALIZED U－PROCESSES AND V－PROCESSES AND THEIR APPLICATIONS IN PROJECTION PURSUIT |
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| 引用本文： | 张涤新,李国英.BOOTSTRAPPING GENERALIZED U－PROCESSES AND V－PROCESSES AND THEIR APPLICATIONS IN PROJECTION PURSUIT[J].应用数学学报(英文版),1996(4). |
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| 作者姓名： | 张涤新 李国英 |
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| 作者单位： | ZHANG DIXIN (Department of Statistics，Guizhou College of Finance and Economics，Guiyang 550001，China)LI GUOYING (Institute of Systems Science，the Chinese Academy of Sciences，Beijing 100080，China) |
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| 摘 要： | ＢＯＯＴＳＴＲＡＰＰＩＮＧＧＥＮＥＲＡＬＩＺＥＤＵ－ＰＲＯＣＥＳＳＥＳＡＮＤＶ－ＰＲＯＣＥＳＳＥＳＡＮＤＴＨＥＩＲＡＰＰＬＩＣＡＴＩＯＮＳＩＮＰＲＯＪＥＣＴＩＯＮＰＵＲＳＵＩＴ￥ＺＨＡＮＧＤＩＸＩＮ（张涤新）（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉ...
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BOOTSTRAPPING GENERALIZED U-PROCESSES AND V-PROCESSES AND THEIR APPLICATIONS IN PROJECTION PURSUIT |
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| ZHANG DIXIN.BOOTSTRAPPING GENERALIZED U-PROCESSES AND V-PROCESSES AND THEIR APPLICATIONS IN PROJECTION PURSUIT[J].Acta Mathematicae Applicatae Sinica,1996(4). |
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| Authors: | ZHANG DIXIN |
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| Abstract: | In this paper, we study bootstrap approximation for generalized U-processes (GUP) indexedby a class of functions. Under mild conditions we obtain that the asymptotic distributions ofbootstrapping generalized U-processes (BGUP) are the same as those of GUP almost surely. Asa result, the asymptotic properties of bootstrap approximation for PP generalized U-processes(BPPGUP) are obtained. In addition we have derived bootstrap approximation for generalizedV-processes (GVP). Thus, we can use BGUP or bootstrapping GVP (BGVP) to simulate GUPand GVP. |
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| Keywords: | Bootstrap projection pursuit (PP) U-processes asymptotic distribution |
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