The Weibull Marshall–Olkin Lindley distribution: properties and estimation
We obtain some properties of the Weibull Marshall–Olkin Lindley distribution. Its hazard rate function can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. We compare the performance of some methods to estimate its model parameters by means of extensive simul...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2020-01-01
|
| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2020.1715017 |
| _version_ | 1818874287343271936 |
|---|---|
| author | Ahmed Z. Afify Mazen Nassar Gauss M. Cordeiro Devendra Kumar |
| author_facet | Ahmed Z. Afify Mazen Nassar Gauss M. Cordeiro Devendra Kumar |
| author_sort | Ahmed Z. Afify |
| collection | DOAJ |
| description | We obtain some properties of the Weibull Marshall–Olkin Lindley distribution. Its hazard rate function can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. We compare the performance of some methods to estimate its model parameters by means of extensive simulations. The potentiality of the new distribution to modeling real-life data is shown using two real data sets. |
| first_indexed | 2024-12-19T13:08:12Z |
| format | Article |
| id | doaj.art-36d97c5de1a5409d97528b63732a645e |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-19T13:08:12Z |
| publishDate | 2020-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-36d97c5de1a5409d97528b63732a645e2022-12-21T20:19:59ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552020-01-0114119220410.1080/16583655.2020.17150171715017The Weibull Marshall–Olkin Lindley distribution: properties and estimationAhmed Z. Afify0Mazen Nassar1Gauss M. Cordeiro2Devendra Kumar3Department of Statistics, Mathematics and Insurance, Benha UniversityDepartment of Statistics, Faculty of Science, King Abdulaziz UniversityDepartamento de Estatística, Universidade Federal de PernambucoDepartment of Statistics, Central University of HaryanaWe obtain some properties of the Weibull Marshall–Olkin Lindley distribution. Its hazard rate function can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. We compare the performance of some methods to estimate its model parameters by means of extensive simulations. The potentiality of the new distribution to modeling real-life data is shown using two real data sets.http://dx.doi.org/10.1080/16583655.2020.1715017lindley distributionmaximum product of spacingorder statisticweibull marshall olkin-g family |
| spellingShingle | Ahmed Z. Afify Mazen Nassar Gauss M. Cordeiro Devendra Kumar The Weibull Marshall–Olkin Lindley distribution: properties and estimation Journal of Taibah University for Science lindley distribution maximum product of spacing order statistic weibull marshall olkin-g family |
| title | The Weibull Marshall–Olkin Lindley distribution: properties and estimation |
| title_full | The Weibull Marshall–Olkin Lindley distribution: properties and estimation |
| title_fullStr | The Weibull Marshall–Olkin Lindley distribution: properties and estimation |
| title_full_unstemmed | The Weibull Marshall–Olkin Lindley distribution: properties and estimation |
| title_short | The Weibull Marshall–Olkin Lindley distribution: properties and estimation |
| title_sort | weibull marshall olkin lindley distribution properties and estimation |
| topic | lindley distribution maximum product of spacing order statistic weibull marshall olkin-g family |
| url | http://dx.doi.org/10.1080/16583655.2020.1715017 |
| work_keys_str_mv | AT ahmedzafify theweibullmarshallolkinlindleydistributionpropertiesandestimation AT mazennassar theweibullmarshallolkinlindleydistributionpropertiesandestimation AT gaussmcordeiro theweibullmarshallolkinlindleydistributionpropertiesandestimation AT devendrakumar theweibullmarshallolkinlindleydistributionpropertiesandestimation AT ahmedzafify weibullmarshallolkinlindleydistributionpropertiesandestimation AT mazennassar weibullmarshallolkinlindleydistributionpropertiesandestimation AT gaussmcordeiro weibullmarshallolkinlindleydistributionpropertiesandestimation AT devendrakumar weibullmarshallolkinlindleydistributionpropertiesandestimation |