On Stochastic Comparisons of Finite α-mixture of Additive Hazard Rate Models

‎In this paper‎, ‎we discussed stochastic comparisons on the finite α-mixture of additive hazard models‎. ‎Sufficient conditions on the underlying distribution parameters and the mixing probabilities are established for the comparisons of different α-mixtures of survival or distribution functions of these models‎ ‎with respect to the usual stochastic order and the hazard rate order‎, ‎respectively‎. ‎Several examples are also presented to illustrate the theoretical findings‎.