| ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT |
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| 作者姓名： | ZHANG Jian LI Guoying |
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| 作者单位： | Institute of Systems Science，Academia Sinica，Beijing 100080，China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina．determinedbythepeak（localmaxinlulllpoint）whichisaboundaryoramodeforseparatingtwonearbyclusters（see，［3］）．Althoughtheactualproceduresdescribedabovedonotchangeasthedimensionalitychanges，thecurseofdimension |
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| 摘 要： | ＯＮＴＥＳＴＳＦＯＲＬＯＣＡＬＥＸＴＲＥＭＵＭＰＯＩＮＴＳＩＮＰＲＯＪＥＣＴＩＯＮＰＵＲＳＵＩＴＺＨＡＮＧＪｉａｎ；ＬＩＧｕｏｙｉｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｉｅｎｃｅ，ＡｃａｄｅｍｉａＳｉｎｉｃａ，Ｂｅｉｊｉｎｇ１０００８０，Ｃｈ...
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ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT |
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| ZHANG Jian,LI Guoying.ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT[J].Journal of Systems Science and Complexity,1994(4). |
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| Authors: | ZHANG Jian LI Guoying |
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| Abstract: | The local extremum points in the projection pursuit(PP) have played an important role. Many interesting structures are directly related to the local extremum poillts in the PP procedures. Hence, it is very helpful to give some suitable statistical tests to separate the local extremum points from noise. In this paper, a procedure is proposed for constructing tests for the local extremum points of any object function. The asymptotics of these tests are also developed. |
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| Keywords: | Projection pursuit (PP) cluster analysis local extremum points empirical processes the null and alternative asymptotic distributions |
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