Some generalized beta distributions of the second kind having desirable application features in hydrology and meteorology

Abstract

Two distinct versions of the generalized beta distribution of the second kind are considered. These beta‐type distributions compare favorably with the commonly used gamma and log normal distributions in their ability to fit selected sets of accumulated streamflow and precipitation amount data. The comparisons are based on empirical results associated with three different goodness of fit criteria. Since the cumulative distribution functions of these beta‐type distributions are in closed form, they possess unique computational advantages over the gamma and log normal distributions.