Statistical Inference in a model of imperfect maintenance with geometric reduction of intensity

International audienceThe aim of this paper is to introduce and study a new model of imperfect maintenance in reliability. A model of geometric reduction of intensity is assumed on the inter-arrival times of failures on a system subject to recurrent failures. Based on observation of several series of failures and imperfect maintenances on a single system, we introduce estimators of the parameters (euclidean and functional) of this semiparametric model and we prove their asymptotical normality. Then a simulation study is carried out 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