Heshmatolah Jamali - Department of Mathematics‎, ‎Marvdasht Branch‎, ‎Islamic Azad University‎, ‎Marvdasht‎, ‎Iran
Mohsen Rezapour - Department of Statistics‎, ‎Faculty of Mathematics and Computer‎, ‎Shahid Bahonar University of Kerman‎, ‎Kerman‎, ‎Iran

‎In this paper‎, ‎a coherent system consisting of non-identical dependent active components and‎ ‎equipped with non-identical dependent standby components is considered‎. ‎The main object of this study is the random quantity‎ ‎which account the number of surviving standby components when the system‎ ‎is failed‎. ‎We represent the distribution function of the corresponding random variable in terms of‎ ‎system signature‎.

Stochastic ordering‎, Archimedean copula‎, ‎order statistics‎, ‎standby redundancy‎, ‎reliability systems‎