On the Properties and Applications of Transmuted Odd Generalized Exponential-Exponential Distribution
Jamila Abdullahi *
Department of Statistics, Ahmadu Bello University, P.M.B. 1045, Zaria, Nigeria
Umar Kabir Abdullahi
Department of Statistics, Ahmadu Bello University, P.M.B. 1045, Zaria, Nigeria
Terna Godfrey Ieren
Department of Statistics, Ahmadu Bello University, P.M.B. 1045, Zaria, Nigeria
David Adugh Kuhe
Department of Mathematics, Statistics and Computer Science, Federal University of Agriculture, Makurdi, Nigeria
Adamu Abubakar Umar
School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia
*Author to whom correspondence should be addressed.
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.
Keywords: QRTM, properties, maximum likelihood estimation, TOGEED, applications