Some generalisations of Birnbaum-Saunders and sinh-normal distributions

This work proposes the univariate and multivariate generalisations of the following distributions: the Birnbaum-Saunders, the three param-eter Birnbaum-Saunders and the sinh-normal of spherical type. Simi-larly, when the stochastic representation of a spherical random vector is assumed, we propose alternative definitions for the above-mentioned dis-tributions including the log-elliptical distribution. We emphasize that all the distributions here derived belong to the family of the spherical distributions