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Utilisation de modèles à direction révélatrice unique pour les modèles de durée

Abstract : In this thesis we introduce semi-parametric models for dimension reduction in a standard censoring scheme. The model considered here is a single-index model used to prevent us from the curse of dimensionality. An appealing feature of these models is that they include classical models used in that kind of context as particular cases. Therefore, in the first part, we present a single-index model for the conditional density problem and in the second part, we study a single-index model for the recurrent event process. Both of these model can be seen as a generalisation of the popular Cox model. Moreover, in both work, we introduce a new procedure designed to circumvent the weak performances of Kaplan-Meier estimator in the right-tail of the distribution. We also present data-driven techniques to choose the parameters involved in these estimation procedures.
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Contributor : Olivier Bouaziz <>
Submitted on : Friday, February 25, 2011 - 7:03:02 PM
Last modification on : Wednesday, December 9, 2020 - 3:13:51 PM
Long-term archiving on: : Tuesday, November 6, 2012 - 3:01:04 PM


  • HAL Id : tel-00569996, version 1


Olivier Bouaziz. Utilisation de modèles à direction révélatrice unique pour les modèles de durée. Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2010. Français. ⟨tel-00569996⟩



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