Stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components

We investigate stochastic comparisons of lifetimes of series and parallel systems with dependent and heterogeneous components having lifetimes following the proportional odds (PO) model. The joint distribution of component lifetimes is modeled by Archimedean survival copulas. We discuss some potential applications of our findings on stochastic comparisons between lifetimes of two series systems arising from random variables with associated random shocks.