Statistical Inference for Generalized Power-Law Process in repairable systems

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dc.contributor.authorLopes, Tito
dc.contributor.authorTomazella, Vera L. D.
dc.contributor.authorLeao, Jeremias
dc.contributor.authorRamos, Pedro L.
dc.contributor.authorLouzada, Francisco
dc.date.accessioned2025-01-20T17:08:13Z
dc.date.available2025-01-20T17:08:13Z
dc.date.issued2024
dc.description.abstractRepairable systems are often used to model the reliability of restored components after a failure is observed. Among various reliability growth models, the power law process (PLP) or Weibull process has been widely used in industrial problems and applications. In this article, we propose a new class of model called the generalized PLP (GPLP), based on change points. These can be treated as known or unknown parameters, or interpreted as failure times. Herein, we consider the impact of all or some fixes on the failure intensity function. In this context, unlike the usual PLP, the GPLP is not restricted to the assumption of minimal repair (MR). Other situations, such as perfect, efficient, and harmful repair, can be considered. We present some special cases of the GPLP, such as the main models used to analyze repairable systems under the assumption of imperfect repair. The estimators of the proposed model parameters were obtained using the maximum likelihood method. We evaluated the performance of the parameter estimators through Monte Carlo (MC) simulations. The proposed approach is fully illustrated using two real failure time datasets.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.cam.2024.115799
dc.identifier.eissn1879-1778
dc.identifier.issn0377-0427
dc.identifier.urihttps://doi.org/10.1016/j.cam.2024.115799
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90928
dc.identifier.wosidWOS:001179230900001
dc.language.isoen
dc.revistaJournal of computational and applied mathematics
dc.rightsacceso restringido
dc.subjectGeneralized Power Law Process
dc.subjectNon-Homogeneous Poisson Process
dc.subjectRepairable systems
dc.subjectPoint of change
dc.subjectImperfect repair
dc.titleStatistical Inference for Generalized Power-Law Process in repairable systems
dc.typeartículo
dc.volumen445
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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