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dc.contributor.advisorNikouline, Mikhail Stepanovitch
dc.contributor.authorTAHIR, Muhammad-Ramzan
dc.contributor.otherCouallier, Vincent
dc.contributor.otherGerville-Réache, Léo
dc.contributor.otherLimnios, Nikolaos
dc.date2012-07-02
dc.date.accessioned2020-12-14T21:16:40Z
dc.date.available2020-12-14T21:16:40Z
dc.identifier.urihttp://ori-oai.u-bordeaux1.fr/pdf/2012/TAHIR_MUHAMMAD_RAMZAN_2012.pdf
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/22648
dc.identifier.nnt2012BOR14547
dc.description.abstractLe premier objectif de la thèse est de présenter un test d'ajustement pour les modèles paramétriques couramment utilisés en l'analyse de survie, la fiabilité, les sciences sociales, l'ingénierie, la santé publique et la démographie, en présence de censure à droite. Nous développons un logiciel en langue R pour les modèles paramétrique. Le modèle de Birnbaum-Saunders (BS) est utilisé pour la test d'ajustement pour les modèles AFT paramétriques et en analyse de système redondant. L'autre contribution porte sur l'analyse de système redondant composé avec une composante en état hot et l'autre en réserve fonctionnent en état warm pour augmenter la fiabilité de systeme. Nous calculons la fiabilité du système en termes de Fonction de répartition et nous donnons l'intervalle de confiance asymptotique.
dc.description.abstractEnThis is an increasing importance in survival analysis and reliability to select a suitable basic model for further inquiries of the data. Little deviation in basic model can cause serious problems in final results. The presence of censoring and accelerated stresses make this task more difficult. Chi-square type goodness of fit tests are most commonly used for model selection. Many modifications in chi-square tests have been proposed by various researcher. The first aim of the thesis is to present a goodness of fit test for wide rage of parametric models (shape-scale families) commonly used in survival analysis, social sciences, engineering, public health and demography, in presence of right censoring. We give the explicit forms of the quadratic form of the test statistic (NRR test) for various models and apply the test on real data. We develop a computer program in R-language for all models. A separate section is dedicated for the test in demography. We focus on the Birnbaum-Saunders (BS) distribution for goodness of fit test for parametric AFT-model and analysis of redundant system.The other purpose of the thesis is to give the analysis of redundant system. To ensure high reliability of the main components of the systems, standby units are used. The main component is replaced by the standby unit automatically, if it fails. The standby unit can be in warm, hot, or cold state. We give the procedure of one main and (n-1) standby units placed in hot state, and give the detailed analysis of one main and one standby unit using BS parametric family. We use Sedyakin's physical principal and the approach of accelerated failure time model for the analysis of redundant system. This approach is different from the traditional ones in the literature but difficulties in calculations. We calculate the reliability of the system in terms of distribution function (unreliability function) and asymptotic confidence interval.
dc.language.isoen
dc.subjectAnalyse de survie
dc.subjectDémographie
dc.subjectModèle de Birnbaum-Saunders
dc.subjectModèle des vies accélérées
dc.subjectSysteme Redondant
dc.subjectTest d'ajustement de type de chi-deux
dc.subjectTest de RRN
dc.subject.enAccelerated failure time model
dc.subject.enBirnbaum-Saunders distribution
dc.subject.enDemography
dc.subject.enGoodness of fit tests
dc.subject.enRedundant system
dc.subject.enRRN test
dc.subject.enSurvival analysis
dc.titleSur la validation des modèles paramétriques appliqués en analyse de survie et fiabilité
dc.title.enOn validation of parametric models applied in survival analysis and reliability
dc.typeThèses de doctorat
dc.contributor.jurypresidentHuber-Carol, Catherine
bordeaux.hal.laboratoriesThèses de l'Université de Bordeaux avant 2014*
bordeaux.hal.laboratoriesInstitut de mathématiques de Bordeaux
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionBordeaux 1
bordeaux.thesis.disciplineStatistique, Biostatistique
bordeaux.ecole.doctoraleÉcole doctorale de mathématiques et informatique (Talence, Gironde)
star.origin.linkhttps://www.theses.fr/2012BOR14547
dc.contributor.rapporteurGuérin, Fabrice
dc.contributor.rapporteurLauter, Henning
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Sur%20la%20validation%20des%20mod%C3%A8les%20param%C3%A9triques%20appliqu%C3%A9s%20en%20analyse%20de%20survie%20et%20fiabilit%C3%A9&rft.atitle=Sur%20la%20validation%20des%20mod%C3%A8les%20param%C3%A9triques%20appliqu%C3%A9s%20en%20analyse%20de%20survie%20et%20fiabilit%C3%A9&rft.au=TAHIR,%20Muhammad-Ramzan&rft.genre=unknown


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