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