Lifetime distribution of two discrete censored δ shock models

Lina Bian, Ming Ma, Hua Liu and Jian Hua Ye

Communications in Statistics - Theory and Methods, 2019, vol. 48, issue 14, 3451-3463

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.

Date: 2019
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DOI: 10.1080/03610926.2018.1477961

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