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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)

Abstract

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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