Authors

• Mostafa Razmkhah
• Zahra Saberzade

Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, 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