A new generator of probability distributions: the Normal–Kumaraswamy-G family of distributions

Abstract

. In a recent study, Osatohanmwen et al. (2019) developed the T - Kumaraswamy family of distributions which is a family of distributions with members having support on the unit interval. Five examples of such distributions were defined including the so-called ’normal - Kumaraswamy’ distribution. A new method for generating probability distributions using the normal - Kumaraswamy distribution as the generator is presented in this paper. Some normal - Kumaraswamy generated distributions are presented alongside some general structural properties of the new generator. The new generator is in the same class as the beta-generated class and the Kumaraswamy-generated class which are well studied in the literature and it can compete favorably in modeling disparate data sets with these well-known and well-studied classes of distributions.