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Uni Köln > WiSo-Fakultät > Seminar für Wirtschafts- und Sozialstatistik > Institut > LS Mosler > Prof. Mosler > Publikationen
Publikationen von Univ.-Prof. Dr. Karl Mosler |
Abstract: Depth of hyperplanes and related statistics (Gleb Koshevoy and Karl Mosler) |
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| We introduce a new notion of multivariate depth, the depth of a hyperplane in a sample. For two samples, the mean hyperplane depth (MHD) of one with respect to the other is calculated. We explore the combinatorial and other properties of these notions and, in particular, their relation to majority depth. Affine invariant statistics based on the MHD are introduced to test for homogeneity against dispersion and location alternatives. | ||||
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