Based on an analysis of copulas of elliptically contoured distributions, joint densities of continuous variables with given strictly increasing marginal distributions are constructed. A method utilized for this procedure is to embed the spherical distribution quantile transformation of each...

Square tray distributions have been studied by Johson and Kotz (Statist. Probab. Lett. 42 (1999) 157). As an extension, multiple square tray distributions are considered in this paper. These distributions are simple in the sense that there are only three different levels of the probability...