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...Abstract: This paper focuses on the problem of the systems prognostic. More precisely, it is about
the prognostic of systems subject to stochastic inputs based on the expert’s knowledge. The proposed
approach consists in assessing the system availability during a mission. This mission is supposed to be
the user profile (the environment in which the system will evolve). This profile is given through a partial
knowledge provided by the expert. The aim of this work is to estimate the trajectory of system damage
