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Estimation and tests in finite mixture models of nonparametric densities

Published online by Cambridge University Press:  04 July 2009

Odile Pons
Odile Pons*
Affiliation:
pons.odile@free.fr
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Abstract

The aim is to study the asymptotic behavior of estimators and tests for the components of identifiable finite mixture models of nonparametric densities with a known number of components. Conditions for identifiability of the mixture components and convergence of identifiable parameters are given. The consistency and weak convergence of the identifiable parameters and test statistics are presented for several models.

Keywords

Mixture modelsnonparametric densitiestestweak convergence
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 13 , July 2009 , pp. 276 - 282
Copyright
© EDP Sciences, SMAI, 2009

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References

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