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Lifetime distribution of two discrete censored δ shock models

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  • Lina Bian
  • Ming Ma
  • Hua Liu
  • Jian Hua Ye

Abstract

In this paper, two classes of censored δ shock models are studied. The first model is the lattice renewal binomial censored δ shock model, in which shocks occur independently at discrete time epochs according to Bernoulli trials. The second model is the Markovian-censored δ shock model, in which shocks arrive in accordance with a discrete time Markov chain. In both censored δ shock models, lifetime distributions of the considered systems are derived. By using the probability generating function method, the expectation and variance of the lifetime in the binomial-censored δ shock model are obtained, too. Some numerical examples are also provided to illustrate the proposed model.

Suggested Citation

  • Lina Bian & Ming Ma & Hua Liu & Jian Hua Ye, 2019. "Lifetime distribution of two discrete censored δ shock models," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(14), pages 3451-3463, July.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:14:p:3451-3463
    DOI: 10.1080/03610926.2018.1477961
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    Cited by:

    1. Eryilmaz, Serkan & Unlu, Kamil Demirberk, 2023. "A new generalized δ-shock model and its application to 1-out-of-(m+1):G cold standby system," Reliability Engineering and System Safety, Elsevier, vol. 234(C).

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