Stochastic representations and probabilistic characteristics of multivariate skew-elliptical distributions (2309.08085v1)

Abstract: The family of multivariate skew-normal distributions has many interesting properties. It is shown here that these hold for a general class of skew-elliptical distributions. For this class, several stochastic representations are established and then their probabilistic properties, such as characteristic function, moments, quadratic forms as well as transformation properties, are investigated.