Exponentiated Gumbel Exponential Distribution: Properties and Applications

Uchenna U Uwadi^1, , Emmanuel W Okereke² and Chukwuemeka O Omekara²

¹Department of Mathematics/Computer Science/Statistics/Informatics, Alex Ekwueme Federal University Ndufu-Alike Ikwo, Nigeria

²Department of Statistics, Micheal Okpara University of Agriculture, Umudike, Nigeria

Cite this paper

Uchenna U Uwadi, Emmanuel W Okereke and Chukwuemeka O Omekara. Exponentiated Gumbel Exponential Distribution: Properties and Applications. American Journal of Applied Mathematics and Statistics. 2019; 7(5):178-186. doi: 10.12691/AJAMS-7-5-4

Abstract

In this article, we proposed a new distribution called exponentiated Gumbel exponential (EGuE) distribution. The new distribution is a member of the T-X family obtained through the logit transformation of the exponential random variable, using the exponentiated Gumbel distribution as the generator. The mathematical properties of the proposed distribution were studied. The maximum likelihood estimates of the parameters of the EGuE distribution were derived. The applicability of the new distribution is shown using a real data set.

Keywords

exponentiated Gumbel distribution, T-X family, maximum likelihood estimation, logit function, exponential distribution

Copyright

This work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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