In this paper a multivariate analogue of the logistic distribution is considered. We suggest two families of multivariate logistic distributions with the property that marginal distributions are of univariate form and discuss some distributional properties of the multivariate distributions.
"Multivariate Logistic Distributions." Ann. Statist. 1 (3) 588 - 590, May, 1973. https://doi.org/10.1214/aos/1176342430