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Depth of hyperplanes

  • Karl Mosler
Part of the Lecture Notes in Statistics book series (LNS, volume 165)

Abstract

So far, notions of data depths have been discussed that measure how deep a single point is located in a distribution. In many applications, particularly two-sample problems, a statistic is needed that measures how deep a set of points is located in a distribution. For this, the notion of data depth of a set or, more precisely, a data matrix has to be developed. Like in the case of point data depth, many notions are possible and, depending on the application, useful.

Keywords

Data Matrice Location Shift Oriented Matroid Elliptical Distribution Combinatorial Invariance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Karl Mosler
    • 1
  1. 1.Seminar für Wirtschafts- und SozialstatistikUniversität KölnKölnGermany

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