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