A class of multivariate type I generalized logistic distributions

The logistic distribution has found important applications in many different fields and several different forms of generalizations have been proposed in the literature. However it seems, with a few exceptions, that there are not in the literature forms of multivariate generalized logistic distributions. In this paper we focus on the type I generalized logistic distribution and, based on a procedure of multivariate transformation of multivariate exponential distributions, we introduce a class of multivariate type I generalized logistic distributions. We provide some examples of bivariate and multivariate distributions of this class