a new discrete-time mixed δ-shock model

In this paper, a mixed δ-shock model with discrete-time is studied by combining δshock and extreme shock models. in this model, a system fails in two ways: first, when k interarrival times between two consecutive shocks with magnitude larger than the critical threshold γ are in [δ1,δ2],δ1 < δ2; and second, when the interarrival time between two consecutive shocks is less than δ1. the lifetime of the system under the proposed mixed δ-shock model is investigated. finaly, a numerical example is presented.