Statistická analýza cenzorovaných dat

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but.committeedoc. Ing. Luděk Nechvátal, Ph.D. (předseda) prof. RNDr. Miloslav Druckmüller, CSc. (místopředseda) prof. Mgr. Pavel Řehák, Ph.D. (člen) doc. RNDr. Jiří Tomáš, Dr. (člen) doc. Mgr. et Mgr. Aleš Návrat, Ph.D. (člen) Mariapia Palombaro (člen) Gennaro Ciampa (člen) Matteo Colangeli (člen) Carmela Scalone (člen)cs
but.defenceThe student presented his master's thesis on the topic: Statistical analysis of censored data. The student presented the work, and then the reviews of the supervisor and opponent were read. The student answered the opponent's questions and explained ambiguities. doc. Tomáš asked if any other than the presented probability distributions was considered, and the student answered that no other distribution was studied. Mariapia Palombaro asked question on the applicability of the research, and the student gave an example of an application.cs
but.jazykangličtina (English)
but.programApplied and Interdisciplinary Mathematicscs
but.resultpráce byla úspěšně obhájenacs
dc.contributor.advisorFusek, Michalen
dc.contributor.authorBah, Abdoulie Ben
dc.contributor.refereeHlavičková, Irenaen
dc.date.created2024cs
dc.description.abstractThis thesis deal with the statistical analysis of censored data by means of simulation studies on the weibull, log-Normal, and gamma distributions. The simulations are carry out by 10,000 repetitions at different parameter settings, sample sizes (n) and censoring schemes. For to all distributions, the obtained results exhibit the accuracy of parameters for larger sample sizes (n), as well as the reliability of parameters to different combinations of the parameters values. The results support the idea that sample size is a key factor in the enhancement of the accuracy of the parameter estimates in the cases of censored data, detailed simulation results are provided including tables and figures illustrating the estimator’s behaviour under different conditions. These findings offer valuable insights for statistical inference involving censored data in various practical applications.en
dc.description.abstractThis thesis deal with the statistical analysis of censored data by means of simulation studies on the weibull, log-Normal, and gamma distributions. The simulations are carry out by 10,000 repetitions at different parameter settings, sample sizes (n) and censoring schemes. For to all distributions, the obtained results exhibit the accuracy of parameters for larger sample sizes (n), as well as the reliability of parameters to different combinations of the parameters values. The results support the idea that sample size is a key factor in the enhancement of the accuracy of the parameter estimates in the cases of censored data, detailed simulation results are provided including tables and figures illustrating the estimator’s behaviour under different conditions. These findings offer valuable insights for statistical inference involving censored data in various practical applications.cs
dc.description.markCcs
dc.identifier.citationBAH, A. Statistická analýza cenzorovaných dat [online]. Brno: Vysoké učení technické v Brně. Fakulta strojního inženýrství. 2024.cs
dc.identifier.other162460cs
dc.identifier.urihttp://hdl.handle.net/11012/249618
dc.language.isoencs
dc.publisherVysoké učení technické v Brně. Fakulta strojního inženýrstvícs
dc.rightsStandardní licenční smlouva - přístup k plnému textu bez omezenícs
dc.subjectCensored dataen
dc.subjectWeibull distributionen
dc.subjectLog-Normal distributionen
dc.subjectGamma distributionen
dc.subjectParameter estimationen
dc.subjectScale parameteren
dc.subjectShape parameteren
dc.subjectSimulation studyen
dc.subjectMaximum likelihood estimationen
dc.subjectFisher information matrixen
dc.subjectmusk Compounden
dc.subjectCensored datacs
dc.subjectWeibull distributioncs
dc.subjectLog-Normal distributioncs
dc.subjectGamma distributioncs
dc.subjectParameter estimationcs
dc.subjectScale parametercs
dc.subjectShape parametercs
dc.subjectSimulation studycs
dc.subjectMaximum likelihood estimationcs
dc.subjectFisher information matrixcs
dc.subjectmusk Compoundcs
dc.titleStatistická analýza cenzorovaných daten
dc.title.alternativeStatistical analysis of censored datacs
dc.typeTextcs
dc.type.drivermasterThesisen
dc.type.evskpdiplomová prácecs
dcterms.dateAccepted2024-10-04cs
dcterms.modified2024-10-10-07:52:16cs
eprints.affiliatedInstitution.facultyFakulta strojního inženýrstvícs
sync.item.dbid162460en
sync.item.dbtypeZPen
sync.item.insts2025.03.27 10:46:39en
sync.item.modts2025.01.17 13:53:22en
thesis.disciplinebez specializacecs
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
thesis.levelInženýrskýcs
thesis.nameIng.cs
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