Availability of periodically inspected systems with Markovian wear and shocks

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On a Markov‐modulated shock and wear process (2009, methodology): “The proof is similar to that of Theorem 1 in [15].”
Semi-Markov models for degradation-based reliability (2010, methodology): “Kharoufeh et al. (2006) extended the model of Kiessler et al. (2002) by including damage-inducing shocks that arrive according to a time-homogeneous Poisson process and deriving the Laplace-Stieltjes transforms of transient reliability indices.”