Lifetime behavior of discrete Markov chain censored δ shock model
Ming Ma,
Li Na Bian,
Hua Liu and
Jian Hua Ye
Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 5, 1019-1035
Abstract:
In this paper, a new kind of shock model is studied, in which the system subject to external shocks arriving according to a discrete time Markov chain. The system fails if no shock occurs within a δ-length time period from the last shock. This is a discrete time version of the censored δ shock model. In the Markov chain censored δ shock model, lifetime distributions and expectation of the considered systems are derived. Some numerical examples are also provided to illustrate the proposed model.
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:50:y:2021:i:5:p:1019-1035
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DOI: 10.1080/03610926.2019.1650184
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