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Pré-Publication, Document De Travail Année : 2013

Semiparametric topographical mixture models with symmetric errors

Résumé

Motivated by the analysis of a Positron Emission Tomography (PET) imaging data considered in Bowen et al. (2012), we introduce a semiparametric topographical mixture model able to capture the characteristics of dichotomous shifted response-type experiments. We propose a local estimation procedure, based on the symmetry of the local noise, for the proportion and locations functions involved in the proposed model. We establish under mild conditions the minimax properties and asymptotic normality of our estimators when Monte Carlo simulations are conducted to examine their nite sample performance. Finally a statistical analysis of the PET imaging data in Bowen et al. (2012) is illustrated for the proposed method.
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Dates et versions

hal-00912964 , version 1 (04-12-2013)
hal-00912964 , version 2 (06-12-2013)
hal-00912964 , version 3 (07-02-2014)

Identifiants

  • HAL Id : hal-00912964 , version 2

Citer

Cristina Butucea, Rodrigue Nguyep, Pierre Vandekerkhove. Semiparametric topographical mixture models with symmetric errors. 2013. ⟨hal-00912964v2⟩
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