| MODELLING RANDOM CONVEX SETS |
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| 作者姓名： | Lee Tzao-Lin ChenKeh-Wei RohanAttele |
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| 作者单位： | Department of Computer Science Notional Taiwan University，Department of Mathematics，University of North Carolina，Charlotte，U.S.A.，Department of Mathematics，University of North Carolina，Charlotte，U.S.A. |
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| 摘 要： | A model is developed for convex-set valued data,which are the Minkowski sum of aconvex parameter set and a convex noise set.This model is generalized to include location and scaleparameters.A further generalization results in a model for convex sets which is analogous to aone-way analysis of variance models.In each case,estimators of the parameters are given which,under certain conditions,are shown to be consistent.Data generated from the model and theestimators are studied.An outlier detection method is examined.
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MODELLING RANDOM CONVEX SETS |
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| Lee Tzao-Lin,ChenKeh-Wei,RohanAttele.MODELLING RANDOM CONVEX SETS[J].Journal of Systems Science and Complexity,1991(2). |
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| Authors: | Lee Tzao-Lin |
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| Abstract: | A model is developed for convex-set valued data,which are the Minkowski sum of a
convex parameter set and a convex noise set.This model is generalized to include location and scale
parameters.A further generalization results in a model for convex sets which is analogous to a
one-way analysis of variance models.In each case,estimators of the parameters are given which,
under certain conditions,are shown to be consistent.Data generated from the model and the
estimators are studied.An outlier detection method is examined. |
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| Keywords: | Bandom convex set |
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