Before revision:  These conditions are stated in terms of the stochastic dominance, increasing convex/concave, dispersive order , and excess wealth orders of the marginals under some assumptions of positive/negative stochastic dependence  .
After revision:  These conditions are stated in terms of the stochastic dominance, increasing convex/concave, dispersive order , and excess wealth orders of the marginals under some assumptions of positive/negative stochastic dependence notions .