The Exponentiated Gumbel Type-2 Distribution: Properties and Application
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) dist...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2016/5898356 |
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| author | I. E. Okorie A. C. Akpanta J. Ohakwe |
| author_facet | I. E. Okorie A. C. Akpanta J. Ohakwe |
| author_sort | I. E. Okorie |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4fd66e2e962b4e2895fed36ccefca8fb |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4fd66e2e962b4e2895fed36ccefca8fb2025-08-20T03:20:17ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252016-01-01201610.1155/2016/58983565898356The Exponentiated Gumbel Type-2 Distribution: Properties and ApplicationI. E. Okorie0A. C. Akpanta1J. Ohakwe2School of Mathematics, University of Manchester, Manchester M13 9PL, UKDepartment of Statistics, Abia State University, PMB 2000, Uturu, Abia State, NigeriaDepartment of Mathematics & Statistics, Faculty of Sciences, Federal University, Otuoke, PMB 126, Yenagoa, Bayelsa, NigeriaWe 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.http://dx.doi.org/10.1155/2016/5898356 |
| spellingShingle | I. E. Okorie A. C. Akpanta J. Ohakwe The Exponentiated Gumbel Type-2 Distribution: Properties and Application International Journal of Mathematics and Mathematical Sciences |
| title | The Exponentiated Gumbel Type-2 Distribution: Properties and Application |
| title_full | The Exponentiated Gumbel Type-2 Distribution: Properties and Application |
| title_fullStr | The Exponentiated Gumbel Type-2 Distribution: Properties and Application |
| title_full_unstemmed | The Exponentiated Gumbel Type-2 Distribution: Properties and Application |
| title_short | The Exponentiated Gumbel Type-2 Distribution: Properties and Application |
| title_sort | exponentiated gumbel type 2 distribution properties and application |
| url | http://dx.doi.org/10.1155/2016/5898356 |
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