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Research Article Open access CC BY 4.0

On the Properties and Applications of Transmuted Odd Generalized Exponential-Exponential Distribution

Jamila Abdullahi, Umar Kabir Abdullahi, Terna Godfrey Ieren, David Adugh Kuhe, Adamu Abubakar Umar

Asian Journal of Probability and Statistics · pp. 1–14 · Published 11 Oct 2018

10.9734/ajpas/2018/v1i424552

Abstract

This article proposed a new distribution referred to as the transmuted odd generalized exponential-exponential distribution (TOGEED) as an extension of the popular odd generalized exponential- exponential distribution by using the Quadratic rank transmutation map (QRTM) proposed and studied by [1]. Using the transmutation map, we defined the probability density function (pdf) and cumulative distribution function (cdf) of the transmuted odd generalized Exponential- Exponential distribution. Some properties of the new distribution were extensively studied after derivation. The estimation of the distribution’s parameters was also done using the method of maximum likelihood estimation. The performance of the proposed probability distribution was checked in comparison with some other generalizations of Exponential distribution using a real life dataset.  

QRTM properties maximum likelihood estimation TOGEED applications

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