Document Type


Publication Date


Publication Title

Journal of Computations & Modelling


In this paper, we propose a new class of generalized distributions called the Exponentiated Kumaraswamy Lindley (EKL) distribution, as well as related sub-distributions. This class of distributions contains the Kumaraswamy Lindley (KL), generalized Lindley (GL), and Lindley (L) distributions as special cases. A series expansion of the density is obtained. Statistical properties of this class of distributions, including the hazard and reverse hazard functions, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, Bonferroni and Lorenz curves, entropy and Fisher information are derived among others. The method of maximum likelihood is adopted for estimating the model parameters. Two applications to real data sets demonstrate the usefulness and importance of the proposed distribution.


The Scienpress Ltd as Publisher applies the Creative Commons Attribution License (CCAL) to all works we publish. Article obtained from the Journal of Computations and Modeling.

Included in

Mathematics Commons