Some stochastic orders of dynamic additive mean residual life model

Sometimes additive hazard rate model becomes more important to study than the celebrated (Cox, 1972) proportional hazard rate model. But the concept of the hazard function is sometimes abstract, in comparison to the concept of mean residual life function. In this paper, we have defined a new model called 'dynamic additive mean residual life model' where the covariates are time dependent, and study the closure of this model under different stochastic orders.