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ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT
作者姓名:ZHANG Jian  LI Guoying
作者单位:Institute of Systems Science,Academia Sinica,Beijing 100080,China
基金项目:theNationalNaturalScienceFoundationofChina.determinedbythepeak(localmaxinlulllpoint)whichisaboundaryoramodeforseparatingtwonearbyclusters(see,[3]).Althoughtheactualproceduresdescribedabovedonotchangeasthedimensionalitychanges,thecurseofdimension
摘    要:ONTESTSFORLOCALEXTREMUMPOINTSINPROJECTIONPURSUITZHANGJian;LIGuoying(InstituteofSystemsScience,AcademiaSinica,Beijing100080,Ch...


ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT
ZHANG Jian,LI Guoying.ON TESTS FOR LOCAL EXTREMUM POINTS IN PROJECTION PURSUIT[J].Journal of Systems Science and Complexity,1994(4).
Authors:ZHANG Jian  LI Guoying
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.
Keywords:Projection pursuit (PP)  cluster analysis  local extremum points  empirical processes  the null and alternative asymptotic distributions
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