Stochastic Dominance for Generalized Parametric Families

The T-X family is a recent method for generating distributions by composing probability distributions and quantile functions. Such an approach makes it possible to obtain a large number of flexible families of parametric distributions, new or already existing, most of which are typically used to model phenomena in different areas, such as economics and finance. We present a general method to derive sufficient conditions for the second-order stochastic dominance, within T-X families of distributions.