Transmuted Generalized Gompertz distribution with application
This paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical prope...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2017-02-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25872955.pdf |
| _version_ | 1811337989963382784 |
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| author | Muhammad Shuaib Khan Robert King Irene Lena Hudson |
| author_facet | Muhammad Shuaib Khan Robert King Irene Lena Hudson |
| author_sort | Muhammad Shuaib Khan |
| collection | DOAJ |
| description | This paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical properties. Explicit expressions are derived for the quantile, moments, moment generating function and entropies. Maximum likelihood estimation is used to estimate the model parameters. Finally, two applications of the new distribution is illustrated using reliability data sets. |
| first_indexed | 2024-04-13T18:04:09Z |
| format | Article |
| id | doaj.art-046d7cc7530b469c99b1eb6bee381062 |
| institution | Directory Open Access Journal |
| issn | 1538-7887 |
| language | English |
| last_indexed | 2024-04-13T18:04:09Z |
| publishDate | 2017-02-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-046d7cc7530b469c99b1eb6bee3810622022-12-22T02:36:07ZengSpringerJournal of Statistical Theory and Applications (JSTA)1538-78872017-02-0116110.2991/jsta.2017.16.1.6Transmuted Generalized Gompertz distribution with applicationMuhammad Shuaib KhanRobert KingIrene Lena HudsonThis paper introduces the four parameter transmuted generalized Gompertz distribution which includes the transmuted Gompertz, transmuted generalized exponential, transmuted exponential, Gompertz, generalized exponential and exponential distributions as special cases and studies its statistical properties. Explicit expressions are derived for the quantile, moments, moment generating function and entropies. Maximum likelihood estimation is used to estimate the model parameters. Finally, two applications of the new distribution is illustrated using reliability data sets.https://www.atlantis-press.com/article/25872955.pdfReliability functions; moment estimation; maximum likelihood estimation. |
| spellingShingle | Muhammad Shuaib Khan Robert King Irene Lena Hudson Transmuted Generalized Gompertz distribution with application Journal of Statistical Theory and Applications (JSTA) Reliability functions; moment estimation; maximum likelihood estimation. |
| title | Transmuted Generalized Gompertz distribution with application |
| title_full | Transmuted Generalized Gompertz distribution with application |
| title_fullStr | Transmuted Generalized Gompertz distribution with application |
| title_full_unstemmed | Transmuted Generalized Gompertz distribution with application |
| title_short | Transmuted Generalized Gompertz distribution with application |
| title_sort | transmuted generalized gompertz distribution with application |
| topic | Reliability functions; moment estimation; maximum likelihood estimation. |
| url | https://www.atlantis-press.com/article/25872955.pdf |
| work_keys_str_mv | AT muhammadshuaibkhan transmutedgeneralizedgompertzdistributionwithapplication AT robertking transmutedgeneralizedgompertzdistributionwithapplication AT irenelenahudson transmutedgeneralizedgompertzdistributionwithapplication |