Kumaraswamy Exponential Lomax distribution and its Applications

Abstract

Over several decades, many distributions have been proposed to handle different types of skewed data. However, due to hidden variability and extended tailed nature, the fit may or may not be appropriate. Analysing asymmetric nature data stands always as a core point in distribution theory. To figure out, we made an attempt to propose a new distribution by inducing the Exponential Lomax into the Kumaraswamy generated family of distributions. The statistical properties such as quantile function, hazard function, ordinary moments, probability weighted moments, mean deviations, order statistics and entropy measures are derived. Parameter estimation is done using the maximum likelihood estimation. The practical illustrations of proposed distribution is done through two real data sets and extensive simulations. Further, to show the proper fit to the data, the proposed distribution is compared with Lomax based distributions.