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​ Statistical Inference in a Model of Imperfect Maintenance With Arithmetic Reduction of Intensity
Résumé The aim of this paper is to introduce and study a new model of Imperfect Maintenance in Reliability. A model of arithmetic reduction of intensity is assumed on the interarrival times of failures on a system subject to recurrent failures. Based on the observation of the recurrent failures of a single repairable system and assuming that a perfect repair is operated after N failures, we introduce estimators of the parameters (Euclidean and functional) of this semiparametric model and we prove their asymptotic normality. Statistical inference is also carried out using this model. Finally, a simulation study is performed to learn the behavior of these estimators on samples of small or moderate size. We end this work with an application on a real dataset.
   
Mots-clés
   
Citation Maalouf, E. (2018). ​ Statistical Inference in a Model of Imperfect Maintenance With Arithmetic Reduction of Intensity. IEEE Transactions on Reliability, 67(3), 987-997.
   
Type Article de périodique (Anglais)
Date de publication 1-9-2018
Nom du périodique IEEE Transactions on Reliability
Volume 67
Numéro 3
Pages 987-997
URL https://ieeexplore.ieee.org/abstract/document/8362689