Removing Separation Conditions in a 1 against 3-Components Gaussian Mixture Problem

  • Bernard Garel
  • Franck Goussanou
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


In this paper we address the problem of testing homogeneity against a three components Gaussian mixture in the univariate case. As alternative we consider a contamination model. The likelihood ratio test statistic (LRTS) is derived up to an o p (1), and two separation conditions are removed. An example with real data is discussed.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Bernard Garel
    • 1
  • Franck Goussanou
    • 1
  1. 1.Statistics and ProbabilityENSEEIHTToulouse cédex 7France

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