A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate
Developing new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the Lomax distribution was extended using the Gompertz family of distribution, its resulting densities and statistical properties wer...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/6043169 |
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| author | Pelumi E. Oguntunde Mundher A. Khaleel Mohammed T. Ahmed Adebowale O. Adejumo Oluwole A. Odetunmibi |
| author_facet | Pelumi E. Oguntunde Mundher A. Khaleel Mohammed T. Ahmed Adebowale O. Adejumo Oluwole A. Odetunmibi |
| author_sort | Pelumi E. Oguntunde |
| collection | DOAJ |
| description | Developing new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the Lomax distribution was extended using the Gompertz family of distribution, its resulting densities and statistical properties were carefully derived, and the method of maximum likelihood estimation was proposed in estimating the model parameters. A simulation study to assess the performance of the parameters of Gompertz Lomax distribution was provided and an application to real life data was provided to assess the potentials of the newly derived distribution. Excerpt from the analysis indicates that the Gompertz Lomax distribution performed better than the Beta Lomax distribution, Weibull Lomax distribution, and Kumaraswamy Lomax distribution. |
| format | Article |
| id | doaj-art-44af76b16982400f9acb90c2bff8d3dc |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-44af76b16982400f9acb90c2bff8d3dc2025-02-03T01:00:53ZengWileyModelling and Simulation in Engineering1687-55911687-56052017-01-01201710.1155/2017/60431696043169A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure RatePelumi E. Oguntunde0Mundher A. Khaleel1Mohammed T. Ahmed2Adebowale O. Adejumo3Oluwole A. Odetunmibi4Department of Mathematics, Covenant University, Ota, Ogun State, NigeriaDepartment of Mathematics, Faculty of Computer Science and Mathematics, University of Tikrit, Tikrit, IraqDepartment of Finance and Banking, University of Tikrit, Tikrit, IraqDepartment of Mathematics, Covenant University, Ota, Ogun State, NigeriaDepartment of Mathematics, Covenant University, Ota, Ogun State, NigeriaDeveloping new compound distributions which are more flexible than the existing distributions have become the new trend in distribution theory. In this present study, the Lomax distribution was extended using the Gompertz family of distribution, its resulting densities and statistical properties were carefully derived, and the method of maximum likelihood estimation was proposed in estimating the model parameters. A simulation study to assess the performance of the parameters of Gompertz Lomax distribution was provided and an application to real life data was provided to assess the potentials of the newly derived distribution. Excerpt from the analysis indicates that the Gompertz Lomax distribution performed better than the Beta Lomax distribution, Weibull Lomax distribution, and Kumaraswamy Lomax distribution.http://dx.doi.org/10.1155/2017/6043169 |
| spellingShingle | Pelumi E. Oguntunde Mundher A. Khaleel Mohammed T. Ahmed Adebowale O. Adejumo Oluwole A. Odetunmibi A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate Modelling and Simulation in Engineering |
| title | A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate |
| title_full | A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate |
| title_fullStr | A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate |
| title_full_unstemmed | A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate |
| title_short | A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate |
| title_sort | new generalization of the lomax distribution with increasing decreasing and constant failure rate |
| url | http://dx.doi.org/10.1155/2017/6043169 |
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