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Gupta, R.C., Gupta, P.L. and Gupta, R.D, “Modeling failure time data by Lehman alternatives”. Communications in Statistics- Theory and Methods 27(4) .887-904. 1998.

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Article

Exponentiated Gumbel Exponential Distribution: Properties and Applications

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


American Journal of Applied Mathematics and Statistics. 2019, Vol. 7 No. 5, 178-186
DOI: 10.12691/ajams-7-5-4
Copyright © 2019 Science and Education Publishing

Cite this paper:
Uchenna U Uwadi, Emmanuel W Okereke, 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.

Correspondence to: Uchenna  U Uwadi, Department of Mathematics/Computer Science/Statistics/Informatics, Alex Ekwueme Federal University Ndufu-Alike Ikwo, Nigeria. Email: uroot3@yahoo.com

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.

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