Statistical Properties and Application of Lindley Kumaraswamy Distribution

1Baba Bukar Alhaji and 2Umaru Haruna

1Department of Mathematical Sciences, Nigerian Defence Academy, Kaduna, Nigeria
2Department of Mathematical Sciences, Kaduna State University, Kaduna

*Corresponding author:,


In this study, we proposed an extension of the Kumaraswamy
distribution by adding a parameter to the Kumaraswamy distribution using the Lindley-G family of distributions proposed by Cakmakyapan and Ozel (2016). The model parameters were estimated using Maximum Likelihood Estimation (MLE). The performance of the new Lindley-Kumaraswamy distribution was compared with other family of Kumaraswamy distribution. The performance was tested by an application to a real-life data and compared with other family of Kumaraswamy distributions using the Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) which are two types of information criterion. Our new distribution was found to provide a better fit than the existing distributions when modeling positively skewed data.


G family