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Etude et conception d'un modèle mixte semiparamétrique stochastique pour l'analyse des données longitudinales environnementales.

Abstract : This thesis is dealing with the analysis of longitudinal data that can be encountered in environmental studies. The general approach is based on the stochastic linear mixed model, that we extend using semiparametric techniques, such as penalized cubic splines. First, estimation methods are developed for the semiparametric stochastic mixed model, and then a simulation study is performed to measure the performances of the parameter estimates.
In a second part, we propose an extension of the Cook's local influence method, in order to produce a sensibility analysis of our model and detect the effect of the perturbation of the structural components of the model. Some asymptotic properties of the local influence matrix are exhibited.
Finally, the proposed model is applied to two real datasets : first, the analysis of nitrate concentration measurements in different locations of a watershed ; second, the analysis of bacteriological pollution of coastal bathing waters.
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https://tel.archives-ouvertes.fr/tel-00012164
Contributor : Kairou Moumouni <>
Submitted on : Thursday, April 20, 2006 - 11:51:20 AM
Last modification on : Friday, March 23, 2018 - 2:00:59 PM
Long-term archiving on: : Monday, September 17, 2012 - 1:40:46 PM

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  • HAL Id : tel-00012164, version 1

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Kairou Moumouni. Etude et conception d'un modèle mixte semiparamétrique stochastique pour l'analyse des données longitudinales environnementales.. Mathématiques [math]. Université Rennes 2, 2005. Français. ⟨tel-00012164⟩

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