101. Improved objective Bayesian estimator for a PLP model hierarchically represented subject to competing risks under minimal repair regime
- Author
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Hugo Francisco Lisboa Santos, Eduardo André Perondi, André Viegas Wentz, Pedro Luiz Ramos, Oilson Alberto Gonzatto Junior, Vera Tomazella, Marcus V. C. Magalhães, Paulo H. Ferreira, Dante Augusto Couto Barone, Anselmo Luis da Silva Júnior, Ivan C. Perissini, Francisco Louzada, Gustavo Bochio, Eder Angelo Milani, Oscar Mauricio Hernandez Rodriguez, Danilo Colombo, José Alberto Cuminato, Luis F. A. Alegría, and Alex L. Mota
- Subjects
Epidemiology ,Computer science ,Monte Carlo method ,Reliability Engineering ,Medicine and Health Sciences ,Statistical inference ,Annelids ,Materials ,Multidisciplinary ,Statistical Models ,Simulation and Modeling ,FALHA ,Statistics ,Eukaryota ,Robotics ,Reliability ,Petroleum ,Physical Sciences ,Medicine ,Engineering and Technology ,Organic Materials ,Robots ,Algorithms ,Research Article ,Mathematical optimization ,Science ,Reliability (computer networking) ,Materials Science ,Bayesian probability ,Oil and Gas Industry ,Research and Analysis Methods ,Industrial Engineering ,Animals ,Models, Statistical ,business.industry ,Mechanical Engineering ,Organisms ,Biology and Life Sciences ,Bayes Theorem ,Statistical model ,Invertebrates ,Medical Risk Factors ,Robot ,Artificial intelligence ,business ,Zoology ,Failure mode and effects analysis ,Mathematics - Abstract
In this paper, we propose a hierarchical statistical model for a single repairable system subject to several failure modes (competing risks). The paper describes how complex engineered systems may be modelled hierarchically by use of Bayesian methods. It is also assumed that repairs are minimal and each failure mode has a power-law intensity. Our proposed model generalizes another one already presented in the literature and continues the study initiated by us in another published paper. Some properties of the new model are discussed. We conduct statistical inference under an objective Bayesian framework. A simulation study is carried out to investigate the efficiency of the proposed methods. Finally, our methodology is illustrated by two practical situations currently addressed in a project under development arising from a partnership between Petrobras and six research institutes.
- Published
- 2021