On the Properties and Applications of a Transmuted Lindley-Exponential Distribution

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Adamu Abubakar Umar
Innocent Boyle Eraikhuemen
Peter Oluwaseun Koleoso
Jerry Joel
Terna Godfrey Ieren


The Quadratic rank transmutation map proposed for introducing skewness and flexibility into probability models with a single parameter known as the transmuted parameter has been used by several authors and is proven to be useful. This article uses this method to add flexibility to the Lindley-Exponential distribution which results to a new continuous distribution called “transmuted Lindley-Exponential distribution”. This paper presents the definition, validation, properties, application and estimation of unknown parameters of the transmuted Lindley-Exponential distribution using the method of maximum likelihood estimation. The new distribution has been applied to a real life dataset on the survival times (in days) of 72 guinea pigs and the result gives good evidence that the transmuted Lindley-Exponential distribution is better than the Lindley-Exponential distribution, Exponential distribution and Lindley distribution based on the dataset used.

Quadratic rank transmutation map, Transmuted Lindley-Exponential distribution, definition, properties, maximum likelihood estimation, applications.

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How to Cite
Umar, A. A., Eraikhuemen, I. B., Koleoso, P. O., Joel, J., & Ieren, T. G. (2019). On the Properties and Applications of a Transmuted Lindley-Exponential Distribution. Asian Journal of Probability and Statistics, 5(3), 1-13. https://doi.org/10.9734/ajpas/2019/v5i330139
Original Research Article


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