Abstract
We consider systems subject to shocks that follow the generalized Polya process (GPP), which has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process that has been widely used in applications, the important feature of this process is the dependence of its future behaviour on the number of previous events (shocks). We consider the delayed events model and the corresponding shot noise process governed by the GPP. We also present some results on the preventive maintenance for systems with failure/repair times following the GPP.
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