Ordering extremes of modified proportional hazard rates and proportional reversed hazard rates models with dependent and heterogeneous random samples

In this paper, we study stochastic comparison of the smallest order statistics of two heterogeneous random vectors with dependent components having modified proportional hazard rates (MPHR) and modified proportional reversed hazard rates (MPRHR) marginals and Archimedean copula structure in terms of the usual stochastic order.