关于每个单元有三个相关分量的复杂系统的可靠性

IF 0.1 Q4 STATISTICS & PROBABILITY

JIRSS-Journal of the Iranian Statistical Society Pub Date : 2017-06-10 DOI:10.18869/ACADPUB.JIRSS.16.1.1001

M. Razmkhah, Zahra Saberzade

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引用次数: 1

摘要

描述了包含n个元素的复杂系统，每个元素具有三个相关的分量。使用三元二项式模型研究了此类系统的可靠性函数。此外，导出了具有完整部件的复杂系统在时间t的平均剩余寿命函数。对具有标准指数边际分布函数的三变量Farlie Gumbel-Morgenstern族的结果进行了简化。通过一些图形表示研究了各种参数对可靠性和平均剩余寿命函数的影响。

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On the reliability of complex systems with three dependent components per element

. 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 e ﬀ ect of various parameters on the reliability and mean residual life functions are studied via some graphical representations.

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来源期刊

JIRSS-Journal of the Iranian Statistical Society STATISTICS & PROBABILITY-

CiteScore

1.50

自引率

0.00%

发文量