Before revision: In this paper we provide a novel family of stochastic orders  , which we call the \alpha,[a,b]-concave stochastic orders , that generalizes second order stochastic dominance .
After revision: In this paper we provide a novel family of stochastic orders that generalizes second order stochastic dominance , which we call the \alpha,[a,b]-concave stochastic orders , that generalizes second order stochastic dominance .