This work proposes the univariate and multivariate generalisations of the following distributions: the Birnbaum-Saunders, the three parameter Birnbaum-Saunders and the sinh-normal of spherical type. Similarly, when the stochastic representation of a spherical random vector is assumed, we propose alternative definitions for the above-mentioned distributions including the log-elliptical distribution. We emphasize that all the distributions here derived belong to the family of the spherical distributions.
Mathematics Subject Classification: 62E15, 62N05
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