Discrimination among bivariate beta-generated distributions

Some properties of the general families of bivariate distributions generated by beta dependent random variables are derived and discussed here. Some classic measures of dependence and information are derived, and their behaviours and properties are discussed as well. Finally, a discrimination procedure within this general family of bivariate distributions is proposed based on Shannon entropy. A real-life example is presented to illustrate the model as well as the inferential results developed here.