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Bandes de confiance par vraisemblance empirique : δ-méthode fonctionnelle et applications aux processus des événements récurrents

Abstract : The starting point of this thesis is a data set of nosocomial infectionsin an intensive care unit of a French hostipal. We focused our attention onbuilding confidence bands for some parameters of interest using empiricallikelihood techniques. In order to do so, we had to adapt and develop somealready existing methods so that they fit our setup.We begin by giving a state of the art of the different theories we use.We then apply them to different setups and demonstrate new results whenneeded. Finally, we conduct simulations and describe our algorithms.
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Alexis Flesch. Bandes de confiance par vraisemblance empirique : δ-méthode fonctionnelle et applications aux processus des événements récurrents. Mathématiques générales [math.GM]. Université de Franche-Comté, 2012. Français. ⟨NNT : 2012BESA2018⟩. ⟨tel-00955359⟩

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