Shocks, runs and random sums

By F. Mallor, Edward Omey. Journal of Applied Probability, 2001

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Semi-Markov models for degradation-based reliability (2010, background): “Marie (1980), Altiok (1985), Johnson (1993), Perros (1994), and Osogami and Harchol-Balter (2006) all provide excellent summaries of techniques that can be used to obtain PH distribution approximations.”
Realistic variation of shock models (2005, background): “Another shock model which is based on a run of k critical shocks was introduced by Mallor and Omey (2001) with k ≥ 1.”
Reliability for systems with self-healing effect under shock models (2018, background): “The shock damage have also been widely studied, for example, Gut (2001) discussed mixed shock models, Mallor and Omey (2001) considered shock runs and random sums, Lin, Li, and Zio (2015) extended a multi-state physics model framework for component reliability assessment by including semi-Markov…”
On a Markov‐modulated shock and wear process (2009, background): “Mallor and Omey [ 20 ] considered a generalized shock process and study”