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Research Article Open access CC BY 4.0

The Zubair-dagum Distribution

O. R. Uwaeme, N. P. Akpan

Asian Journal of Probability and Statistics · pp. 25–35 · Published 13 Jan 2021

10.9734/ajpas/2020/v10i330248

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.

Dagum distribution Zubair-G family hazard rate function entropy order statistics.

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