JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (04): 8-13.doi: 10.6040/j.issn.1671-9352.0.2014.240

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Lifetime distribution behavior of discrete open censored δ-shock model

YE Jian-hua, MA Ming   

  1. School of Computer Science and Information Engineering, Northwest University for Nationalities, Gansu 730030, Lanzhou, China
  • Received:2014-05-24 Revised:2014-12-31 Online:2015-04-20 Published:2015-04-17

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Abstract: The δ-shock model is an important shock model in reliability theory which has potential applications in various fields such as insurance, traffic and relationship marketing. The discrete open censored δ-shock model was presented. The lifetime behavior of the discrete open censored δ-shock model that shock interarrival times follow lattice distribution was studied. And the probability distribution and the expectation of the system lifetime were obtained for all the failure critical values. In particular, as a corollary, the lifetime distribution was obtained when the interarrival times follow a geometric distribution, i.e. the binomial process.

Key words: discrete, open censored, δ-shock model, lattice distribution

CLC Number: 

  • O213.2
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