Modeling hydrologic data by means of re-parametrization of Beta-Singh-Maddala distribution

In this paper we propose a new parametrization of the four-parameters Beta-Singh-Maddala distribution suitable for the context of hydrologic studies. With this aim, we reparameterize the Beta-Singh-Maddala distribution to make its parameters directly interpretable in terms of measures much more relevant for their practical use than the classical shape, location and scale parameters of the parametric families generally used for modeling hydrologic events. Moreover, in order to evaluate how climatic or physic characteristics could affect these measures, we will express them as functions of a set of covariates that could have an effect separately and/or simultaneously.