The likelihood ratio test for general mixture models with possibly unknown structural parameter.
Elisabeth Gassiat, J.-M. Azais and C. Mercadier
preprint, Orsay 2007.

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Abstract

This paper deals with the likelihood ratio test (LRT) for testing hypotheses on the mixing measure in mixture models with possibly unknown structural parameter. The main result gives the asymptotic distribution of the LRT statistics under some conditions that are proved to be almost necessary. A detailed solution is given for two testing problems: the test of a single distribution against any mixture, with application to Gaussian, Poisson and binomial distributions; the test of the number of populations in a finite mixture with possibly unknown structural parameter.

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• The likelihood ratio test for general mixture models with possibly unknown structural parameter. (deposited 16 February 2008) [Currently Displayed]
  • The likelihood ratio test for general mixture models with possibly unknown structural parameter. (deposited 24 March 2009)

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