Before revision:  The  \alpha,[a,b]-convex decreasing stochastic orders  allow us to derive  comparative statics results for  applications in economics and operations research that could not be derived using previous stochastic orders  .
After revision:  The main motivation for introducing the \alpha,[a,b]-convex decreasing stochastic orders allow us to derive comparative statics results for applications in economics and operations research that could not be derived using previous stochastic orders .