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Nonparametric estimation of some important indicators in reliability for semi-Markov processes |
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| Authors: | Nikolaos Limnios Brahim Ouhbi |
| Institution: | aUniversité de Technologie de Compiègne, Laboratoire de Mathématiques Appliquées, B.P. 20529, 60205 Compiègne Cedex, France bEcole Nationale Supérieure d’Arts et Métiers, Marjane II, Meknès Ismailia, B.P. 4024 Béni M’Hamed, Meknès, Maroc |
| Abstract: | In this article we present nonparametric estimators of the mean time to failure (MTTF), the mean up time (MUT), and the mean down time (MDT) of an arbitrary finite semi-Markov process. Strong consistency and weak convergence is proved for the estimators of MTTF, MUT, and MDT, as the time interval of observation becomes large. |
| Keywords: | Mean time to failure Mean up time Mean down time Nonparametric estimator Semi-Markov process Strong consistency Weak convergence |
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