Titre : | Statistique fonctionnelle de certaines caractéristiques sur les modèles de survie |
Auteurs : | Djebbouri1 Tayeb, Auteur ; RABHI Abbes, Directeur de thèse |
Type de document : | texte manuscrit |
Année de publication : | 2016 |
Langues: | Français |
Index. décimale : | BUC-D 000132 |
Catégories : | |
Mots-clés: | : Almost complete convergence ; Asymptotic normality ; Conditional hazard function ; Functional data ; Nonparametric estimation ; Small ball probability ; Strong mixing processes. |
Résumé : |
The objective of this thesis is the nonparametric estimation core for conditional
hazard functions and their derivatives are considered under different model randomly. Many techniques have been studied in the literature to treat these different situations all but only deals with the functional explanatory random variables. The first part is dedicated to the convergence in quadratic mean and asymptotic normality of the estimator of the hazard function of a real random variable condi- tional on a functional variable In the second part, we are interested in studying The maximum of the conditional hazard function is a parameter of great importance in seismicity studies, because it constitutes the maximum risk of occurrence of an earthquake in a given interval of time. using the kernel nonparametric estimates of the first derivative of the condi- tional hazard function, we establish uniform convergence properties and asymptotic normality of an estimate of the maximum in the context of strong mixing dependence. |
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