Title of article :
iability of complex systems with three dependent components per element
Author/Authors :
Razmkhah, Mostafa Department of Statistics - Ferdowsi University of Mashhad, Mashhad, Iran , Saberzade, Zahra Department of Statistics - Ferdowsi University of Mashhad, Mashhad, Iran
Abstract :
The complex system containing n elements, each having three dependent components, is described. The reliability function of such systems is investigated using a trivariate binomial model. In addition, the mean residual life function of a complex system with intact components at time t is derived. The results are simplified for a trivariate Farlie-Gumbel-Morgenstern family with standard exponential marginal distribution functions. The effect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.
Keywords :
Mean residual life function , Trivariate binomial model , Farlie-Gumbel-Morgenstern family , Dependence parameter
Journal title :
Journal of the Iranian Statistical Society (JIRSS)
