Journal of the Iranian Statistical Society, Volume (16), No (1), Year (2017-5) , Pages (1-17)

Title : ( On the reliability of complex systems with three dependent components per element )

Authors: Mostafa Razmkhah , zahra saberzade ,

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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

, Dependence parameter, Farlie-Gumbel-Morgenstern family, Mean residual life function, Order statistics, Trivariate binomial model.
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@article{paperid:1068802,
author = {Razmkhah, Mostafa and Saberzade, Zahra},
title = {On the reliability of complex systems with three dependent components per element},
journal = {Journal of the Iranian Statistical Society},
year = {2017},
volume = {16},
number = {1},
month = {May},
issn = {1726-4057},
pages = {1--17},
numpages = {16},
keywords = {Dependence parameter; Farlie-Gumbel-Morgenstern family; Mean residual life function; Order statistics; Trivariate binomial model.},
}

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%0 Journal Article
%T On the reliability of complex systems with three dependent components per element
%A Razmkhah, Mostafa
%A Saberzade, Zahra
%J Journal of the Iranian Statistical Society
%@ 1726-4057
%D 2017

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