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Cluster Analysis Based on Data Depth

  • Richard Hoberg
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Abstract

A data depth depth(y, χ) measures how deep a point y lies in a set χ. The corresponding α-trimmed regions Dα(χ) = y : depth(y,χ) ≤ α are monotonely decreasing with α, that is a α > β implies Dα ⊂ Dβ. We introduce clustering procedures based on weighted averages of volumes of α-trimmed regions.The hypervolume method turns out to be a special case of these procedures.We investigate the performance in a simulation study.

Keywords

Convex Hull Cluster Procedure Data Depth Cluster Criterion Normal Mixture modeL 
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-Verlag Berlin · Heidelberg 2000

Authors and Affiliations

  • Richard Hoberg
    • 1
  1. 1.Seminar für Wirtschafts- und SozialstatistikUniversität zu KölnKölnGermany

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