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  • Article
    Citation - WoS: 19
    Citation - Scopus: 14
    Assessment of Shock Models for a Particular Class of Intershock Time Distributions
    (Springer, 2022) Kus, Coskun; Tuncel, Altan; Eryilmaz, Serkan
    In 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.