The Zubair-dagum Distribution

Abstract

This article examines the flexibility of the Zubair-G family of distribution using the Dagum distribution. The proposed distribution is called the Zubair-Dagum distribution. The various mathematical properties of this distribution such as the Quantile function, Moments, Moment generating function, Reliability analysis, Entropy and Order statistics were obtained. The parameter estimates of the proposed distribution were also derived and estimated using the maximum likelihood estimation method. The new distribution is right skewed and has various bathtub and monotonically decreasing shapes. Our numerical illustrations using two real-life datasets substantiate the applicability, flexibility and superiority of the proposed distribution over competing distributions.

On the Statistical Properties of the Remkan Distribution

“…In contributing to this gap in the literature, Uwaeme and Akpan [22] proposed a new two-parameter distribution called the Remkan distribution. The Remkan distribution is a three-component density of an exponential ( ), gamma (3, ), and gamma (4, )…”

“…The authors introduced some of the mathematical properties of the new distribution. They showed that the Remkan distribution exhibits shapes that are not bell-shaped, but positively skewed, unimodal, and right-tailed (Uwaeme and Akpan [22]).…”