On mixed δ-shock models

Abstract

In this note, we study the system lifetime mixed δ-shock models. In this model, the system fails when the time between two successive shocks is smaller than a critical threshold δ, or the magnitude of the shock (the cumulative magnitude of shocks) is larger than another critical threshold γ. We then obtain the survival function of the system under these new shock models. © 2015 Elsevier B.V.