The Exponentiated Gumbel Type-2 Distribution: Properties and Application
Joint Authors
Okorie, I. E.
Akpanta, A. C.
Ohakwe, J.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce a generalized version of the standard Gumble type-2 distribution.
The new lifetime distribution is called the Exponentiated Gumbel (EG) type-2 distribution.
The EG type-2 distribution has three nested submodels, namely, the Gumbel type-2 distribution, the Exponentiated Fréchet (EF) distribution, and the Fréchet distribution.
Some statistical and reliability properties of the new distribution were given and the method of maximum likelihood estimates was proposed for estimating the model parameters.
The usefulness and flexibility of the Exponentiated Gumbel (EG) type-2 distribution were illustrated with a real lifetime data set.
Results based on the log-likelihood and information statistics values showed that the EG type-2 distribution provides a better fit to the data than the other competing distributions.
Also, the consistency of the parameters of the new distribution was demonstrated through a simulation study.
The EG type-2 distribution is therefore recommended for effective modelling of lifetime data.
American Psychological Association (APA)
Okorie, I. E.& Akpanta, A. C.& Ohakwe, J.. 2016. The Exponentiated Gumbel Type-2 Distribution: Properties and Application. International Journal of Mathematics and Mathematical Sciences،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1106317
Modern Language Association (MLA)
Okorie, I. E.…[et al.]. The Exponentiated Gumbel Type-2 Distribution: Properties and Application. International Journal of Mathematics and Mathematical Sciences No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1106317
American Medical Association (AMA)
Okorie, I. E.& Akpanta, A. C.& Ohakwe, J.. The Exponentiated Gumbel Type-2 Distribution: Properties and Application. International Journal of Mathematics and Mathematical Sciences. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1106317
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1106317