On the Lomax-Kumaraswamy distribution

Abstract

This article presents a four-parameter distribution called the Lomax-Kumaraswamy distribution. Some statistical properties of the proposed distribution have been studied. The derivations of some expressions for its moments, moment generating function, characteristics function, survival function, hazard function, quantile function and ordered statistics has been done alongside with the theoretical and graphical illustrations. Some plots of the distribution revealed that it is a positively skewed distribution. This study also estimated the parameters of the new distribution using the method of maximum likelihood. Finally, the study evaluated the performance of the new model and compared it to the baseline and some extensions of the Kumaraswamy distribution using two real life datasets.