The parallel systems are special important types of coherent structures and have many applications in various areas. In this paper we consider a two-exchangeable-component parallel system for the Generalized Farlie-Gumbel-Morgenstern (Generalized FGM) distribution. We study the reliability properties of the residual lifetime of the system under the condition that both components of the system are operating at time $t$, and obtain an explicit expression for the mean residual lifetime (MRL) for such system. The asymptotic behavior of the proposed MRL function of the system is also investigated when the exchangeable lifetimes of components have a Generalized FGM bivariate exponential. Finally, we present some results for the correlation coefficient Kendall's Tau of Generalized FGM bivariate copula.
Hashemi-Bosra, S. S., & Salehi, E. (2016). The mean residual lifetime of parallel systems with two exchangeable components under the Generalized Farlie-Gumbel-Morgenstern model. Journal of Mahani Mathematical Research, 2(2), 61-72. doi: 10.22103/jmmrc.2016.1305
MLA
Seyed Shahrokh Hashemi-Bosra; Ebrahim Salehi. "The mean residual lifetime of parallel systems with two exchangeable components under the Generalized Farlie-Gumbel-Morgenstern model", Journal of Mahani Mathematical Research, 2, 2, 2016, 61-72. doi: 10.22103/jmmrc.2016.1305
HARVARD
Hashemi-Bosra, S. S., Salehi, E. (2016). 'The mean residual lifetime of parallel systems with two exchangeable components under the Generalized Farlie-Gumbel-Morgenstern model', Journal of Mahani Mathematical Research, 2(2), pp. 61-72. doi: 10.22103/jmmrc.2016.1305
VANCOUVER
Hashemi-Bosra, S. S., Salehi, E. The mean residual lifetime of parallel systems with two exchangeable components under the Generalized Farlie-Gumbel-Morgenstern model. Journal of Mahani Mathematical Research, 2016; 2(2): 61-72. doi: 10.22103/jmmrc.2016.1305
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