stochastic comparison of parallel systems with kumaraswamy-g distributed components having archimedean copulas

The comparison of two parallel systems has always been of interest in various applications in reliability engineering. classically, it is often assumed that the components of the system are independent, but in practice, this assumption is not usually true and we need to study systems with dependent components. in this paper, we consider two parallel systemswith dependent components whose dependencies are modeled using archimedean copulas and compare the largest order statistic of samples having kumaraswamy generalized family with respect to the usual stochastic order. an example is provided to illustrate the established result.