What Clusters Are Generated by Normal Mixtures?

  • Christian Hennig
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


Model based cluster analysis is often carried out by estimation of the parameters of a normal mixture. But mixture components do not necessarily reflect the idea of a “cluster”. I discuss how to formalize the concept of “clusters” w.r.t. probability distributions on the real line by means of fixed point clusters, i.e., sets that do not contain any outlier and with respect to which the rest of the real line consists of outliers. The concept is applied to some normal mixtures


Real Line Outlier Region Mixture Component Reference Distribution Normal Mixture 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 2000

Authors and Affiliations

  • Christian Hennig
    • 1
  1. 1.Institut für Mathematische StochastikHamburgGermany

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