Cha, J. H. and Finkelstein, M. (2011). On new classes of extreme shock models and some generalizations. J. Appl. Prob. 48, 258–270.
Eryilmaz, S. (2013). On the lifetime behavior of a discrete time shock model. J. Comput. Appl. Math. 237, 384–388.
Eryilmaz, S. (2015). Assessment of a multi-state system under a shock model. Appl. Math. Comput. 269, 1–8.
Eryilmaz, S. (2015). Dynamic assessment of multi-state systems using phase-type modeling. Reliab. Eng. Syst. Safety 140, 71–77.
Eryilmaz, S. (2016). Compound Markov negative binomial distribution. J. Comput. Appl. Math. 292, 1–6.
Goonewardene, S. S., Phull, J. S. B. A. and Persad, R. A. (2014). Interpretation of PSA levels after radical therapy for prostate cancer. Tr. Urol. Mens Health 5, 30–34.
Gut, A. (1990). Cumulative shock models. Adv. Appl. Prob. 22, 504–507.
Gut, A. (2001). Mixed shock models. Bernoulli 7, 541–555.
He, Q.-M. (2014). Fundamentals of Matrix-Analytic Methods. Springer, New York.
Lin, Y. H., Li, Y. F. and Zio, E. (2016). Reliability assessment of systems subject to dependent degradation processes and random shocks. IIE Trans. 48, 1072–1085.
Mallor, F., Omey, E. and Santos, J. (2006). Asymptotic results for a run and cumulative mixed shock model. J. Math. Sci. 138, 5410–5414.
Montoro-Cazorla, D. and Pérez-Ocón, R. (2006). Replacement times and costs in a degrading system with several types of failure: the case of phase-type holding times. Europ. J. Operat. Res. 175, 1193–1209.
Peng, D., Fang, L. and Tong, C. (2013). A multi-state reliability analysis of single-component repairable system based on phase-type distribution. In Proc. Int. Conf. Management Science and Engineering. IEEE, Piscataway, NJ, pp. 496–501.
Peng, R., Zhai, Q. Q. and Levitin, G. (2016). Defending a single object against an attacker trying to detect a subset of false targets. Reliab. Eng. System Safety 149, 137–147.
Segovia, M. C. and Labeau, P. E. (2013). Reliability of a multi-state system subject to shocks using phase-type distributions.Appl. Math. Model. 37, 4883–4904.
Shrestha, A., Xing, L. and Dai, Y. (2011). Reliability analysis of multistate phased-mission systems with unordered and ordered states. IEEE Trans. Syst. Man. Cyb. A 41, 625–636.
Yingkui, G. and Jing, L. (2012). Multi-state system reliability: a new and systematic review. Procedia Engineer. 29, 531–536.
Zhou, X., Wu, C. Y., Li, Y. and Xi, L. (2106). A preventive maintenance model for leased equipment subject to internal degradation and external shock damage. Reliab. Eng. Syst. Safety 154, 1–7.