On the lifetime behavior of a discrete time shock model

• Autores: Serkan Eryilmaz
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 237, Nº 1, 2013, págs. 384-388
• Idioma: inglés
• DOI: 10.1016/j.cam.2012.06.008
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• Resumen

  • In this article, we study a shock model in which the shocks occur according to a binomial process, i.e. the interarrival times between successive shocks follow a geometric distribution with mean 1/p. According to the model, the system fails when the time between two consecutive shocks is less than a prespecified level. This is the discrete time version of the so-called ä-shock model which has been previously studied for the continuous case. We obtain the probability mass function and probability generating function of the system�s lifetime. We also present an extension of the results to the case where the shock occurrences are dependent in a Markovian fashion.