Department of Statistics, Ferdowsi University of Mashhad, P. O. Box 1159, Mashhad 91775, Iran.
10.18869/acadpub.jirss.16.1.1001
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.
Razmkhah,M and Saberzade,Z . (2022). On the reliability of complex systems with three dependent components per element. Journal of the Iranian Statistical Society, 16(1), 1-17. doi: 10.18869/acadpub.jirss.16.1.1001
MLA
Razmkhah,M , and Saberzade,Z . "On the reliability of complex systems with three dependent components per element", Journal of the Iranian Statistical Society, 16, 1, 2022, 1-17. doi: 10.18869/acadpub.jirss.16.1.1001
HARVARD
Razmkhah M, Saberzade Z. (2022). 'On the reliability of complex systems with three dependent components per element', Journal of the Iranian Statistical Society, 16(1), pp. 1-17. doi: 10.18869/acadpub.jirss.16.1.1001
CHICAGO
M Razmkhah and Z Saberzade, "On the reliability of complex systems with three dependent components per element," Journal of the Iranian Statistical Society, 16 1 (2022): 1-17, doi: 10.18869/acadpub.jirss.16.1.1001
VANCOUVER
Razmkhah M, Saberzade Z. On the reliability of complex systems with three dependent components per element. JIRSS. 2022;16(1):1-17. doi: 10.18869/acadpub.jirss.16.1.1001
Journal of the Iranian Statistical Society