On stochastic comparisons of finite α-mixture of additive hazard rate models

This paper discusses 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.