dc.contributor.advisor | Nikouline, Mikhail Stepanovitch | |
dc.contributor.author | SAAIDIA, Noureddine | |
dc.contributor.other | Huber-Carol, Catherine | |
dc.contributor.other | Couallier, Vincent | |
dc.contributor.other | Gerville-Réache, Léo | |
dc.date | 2013-06-24 | |
dc.date.accessioned | 2020-12-14T21:17:40Z | |
dc.date.available | 2020-12-14T21:17:40Z | |
dc.identifier.uri | http://ori-oai.u-bordeaux1.fr/pdf/2013/SAAIDIA_NOUREDDINE_2013.pdf | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/22821 | |
dc.identifier.nnt | 2013BOR14794 | |
dc.description.abstract | En fiabilité et en analyse de survie, les distributions qui ont une fonction de hasard unimodale ne sont pas nombreuses, qu'on peut citer: Gaussienne inverse, log-normale, log-logistique, de Birnbaum-Saunders, de Weibull exponentielle et de Weibullgénéralisée. Dans cette thèse, nous développons les tests modifiés du Chi-deux pour ces distributions tout en comparant la distribution Gaussienne inverse avec les autres. Ensuite nousconstruisons le modèle AFT basé sur la distribution Gaussienne inverse et les systèmes redondants basés sur les distributions de fonction de hasard unimodale. | |
dc.description.abstractEn | In reliability and survival analysis, distributions that have a unimodalor ∩-shape hazard rate function are not too many, they include: the inverse Gaussian,log-normal, log-logistic, Birnbaum-Saunders, exponential Weibull and power generalized Weibulldistributions. In this thesis, we develop the modified Chi-squared tests for these distributions,and we give a comparative study between the inverse Gaussian distribution and the otherdistributions, then we realize simulations. We also construct the AFT model based on the inverseGaussian distribution and redundant systems based on distributions having a unimodal hazard ratefunction. | |
dc.language.iso | fr | |
dc.subject | Distribution Gaussienne inverse, | |
dc.subject | Distribution log-normale, | |
dc.subject | Distribution log-logistique, | |
dc.subject | Distribution de Birnbaum-Saunders, | |
dc.subject | Distribution de Weibull exponentielle, | |
dc.subject | Distribution de Weibull généralisée, | |
dc.subject | Test du Chi-deux, | |
dc.subject | Test modifié du Chi-deux, | |
dc.subject | Fiabilité, | |
dc.subject | Analyse de survie, | |
dc.subject | Modèle de Sedyakin, | |
dc.subject | Modèle AFT, | |
dc.subject | Systèmes redondants, | |
dc.subject | Intervalle de confiance, | |
dc.subject | Temps de panne, | |
dc.subject | Maximum de vraisemblance, | |
dc.subject | Estimation, | |
dc.subject | Classes de Neyman-Pearson. | |
dc.subject.en | Inverse Gaussian distribution, | |
dc.subject.en | Log-normal distribution, | |
dc.subject.en | Log-logistic distribution, | |
dc.subject.en | Birnbaum-Saunders Distribution , | |
dc.subject.en | Exponential Weibull distribution, | |
dc.subject.en | Power generalized Weibull distribution, | |
dc.subject.en | Chi-square test, | |
dc.subject.en | Modified Chi-squared, | |
dc.subject.en | Reliability, | |
dc.subject.en | Survival analysis, | |
dc.subject.en | Sedyakin's model, | |
dc.subject.en | AFT model, | |
dc.subject.en | Redundant system, | |
dc.subject.en | Confidence interval, | |
dc.subject.en | Failure time, | |
dc.subject.en | Maximum likelihood , | |
dc.subject.en | Estimation, | |
dc.subject.en | Neyman-Pearson classes | |
dc.title | Sur les familles des lois de fonction de hasard unimodale : applications en fiabilité et analyse de survie | |
dc.type | Thèses de doctorat | |
dc.contributor.jurypresident | Guérin, Fabrice | |
bordeaux.hal.laboratories | Thèses de l'Université de Bordeaux avant 2014 | * |
bordeaux.hal.laboratories | Institut de mathématiques de Bordeaux | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux / IMB | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.type.institution | Bordeaux 1 | |
bordeaux.thesis.discipline | Statistiques | |
bordeaux.ecole.doctorale | École doctorale de mathématiques et informatique (Talence, Gironde) | |
star.origin.link | https://www.theses.fr/2013BOR14794 | |
dc.contributor.rapporteur | Mesbah, Mounir | |
dc.contributor.rapporteur | Chateauneuf, Alaa | |
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