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
Pages
17
From page
1
To page
17
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)
Serial Year
2017
Record number
2508282
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