Kadir KARAKAYA, Yunus AKDOĞAN, Fatih ŞAHİN, İsmail KINACI, Coşkun KUŞ

25064

Discrete time shock model with varying success probability

Discrete time shock model with varying success probability

    Let us consider a system fails when the time between two consecutive shocks falls below a fixed threshold $\delta \in N$ and the system's  lifetime is measured as the time up to the occurrence of  this event. In this paper, we consider the interarrival times between $(i-1)$ i-th and $i$- th successive shocks follow a geometric distribution with mean 1/pi ,where pi =theta*pi-1, i=1,2,..., ,0<theta<1, 0<p<1. Under the above considerations, the distribution of system lifetime is obtained. Probability generating function and than also moments of system are derived. The proportion estimates of distribution parameters are studied. A numerical example is also presented buy using real data.
Keywords:

q-distributions, delta-Shock model, probabilty generating function,

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Istatistik Journal of The Turkish Statistical Association-Cover
  • ISSN: 1300-4077
  • Başlangıç: 1998
  • Yayıncı: Başbakanlık
Arşiv
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