Kuş, CoşkunTuncel, AltanEryilmaz, Serkan2025-01-212025-01-2120221387-58411573-7713https://doi.org/10.1007/s11009-021-09847-9https://hdl.handle.net/20.500.12587/24238In this paper, delta and extreme shock models and a mixed shock model which combines delta-shock and extreme shock models are studied. In particular, the interarrival times between successive shocks are assumed to belong to a class of matrix-exponential distributions which is larger than the class of phase-type distributions. The Laplace -Stieltjes transforms of the systems' lifetimes are obtained in a matrix form. Survival functions of the systems are approximated based on the Laplace-Stieltjes transforms. The results are applied for the reliability evaluation of a certain repairable system consisting of two components.eninfo:eu-repo/semantics/openAccessMatrix-exponential distribution; Reliability; Repairable system; Shock model; PrimaryArticle24121323110.1007/s11009-021-09847-92-s2.0-85099913687Q2WOS:000611454200001Q4