Orderings Properties of Parallel Systems with Components Having Additive Hazard Rates and Starting Devices

In this paper, we consider stochastic comparisons of parallel systems with additive hazard rate (AH) distributed components equipped with starting devices. By considering parallel systems with two components and starting devices, we prove the hazard rate and reversed hazard rate orders. These results are then generalized for such parallel systems with $$n$$ components in terms of usual stochastic order. The establish results are illustrated with some examples.