Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data
The purpose of this study is to present the Marshall- Olkin extended Gompertz Makeham MOEGM lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the mode...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/2528583 |
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| author | Rania A. H. Mohamed Abdulhakim A. Al-Babtain I. Elbatal Ehab M. Almetwally Hisham M. Almongy |
| author_facet | Rania A. H. Mohamed Abdulhakim A. Al-Babtain I. Elbatal Ehab M. Almetwally Hisham M. Almongy |
| author_sort | Rania A. H. Mohamed |
| collection | DOAJ |
| description | The purpose of this study is to present the Marshall- Olkin extended Gompertz Makeham MOEGM lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the model parameters, and it is well known that likelihood estimators for unknown parameters are not always available. As a result, we examine the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to the squared error loss function. A Monte Carlo simulation research is carried out to examine the performance of the likelihood estimators and the Bayesian technique. Finally, we demonstrate the significance of the new model. And to conclude, we illustrate the importance of the new model by exploring some of the empirical applications of physics to show it’s flexibility and potentiality of a new model. |
| format | Article |
| id | doaj-art-b72f557c80dc475099cc0cb8a1b753d6 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b72f557c80dc475099cc0cb8a1b753d62025-08-20T03:39:28ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/2528583Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics DataRania A. H. Mohamed0Abdulhakim A. Al-Babtain1I. Elbatal2Ehab M. Almetwally3Hisham M. Almongy4Department of Statistics Mathematics and InsuranceDepartment of Statistics and Operations ResearchDepartment of Mathematics and Statistics-College of ScienceDepartment of StatisticsDepartment of Applied Statistics and InsuranceThe purpose of this study is to present the Marshall- Olkin extended Gompertz Makeham MOEGM lifetime distribution, which has four parameters. As a result, we will describe some of the structural elements that are introduced for this model. The maximum likelihood approach is used to estimate the model parameters, and it is well known that likelihood estimators for unknown parameters are not always available. As a result, we examine the prior distributions, which allow for prior dependence among the components of the parameter vector, as well as the Bayesian estimators derived with respect to the squared error loss function. A Monte Carlo simulation research is carried out to examine the performance of the likelihood estimators and the Bayesian technique. Finally, we demonstrate the significance of the new model. And to conclude, we illustrate the importance of the new model by exploring some of the empirical applications of physics to show it’s flexibility and potentiality of a new model.http://dx.doi.org/10.1155/2022/2528583 |
| spellingShingle | Rania A. H. Mohamed Abdulhakim A. Al-Babtain I. Elbatal Ehab M. Almetwally Hisham M. Almongy Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data Journal of Mathematics |
| title | Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data |
| title_full | Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data |
| title_fullStr | Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data |
| title_full_unstemmed | Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data |
| title_short | Classical and Bayesian Inference of Marshall-Olkin Extended Gompertz Makeham Model with Modeling of Physics Data |
| title_sort | classical and bayesian inference of marshall olkin extended gompertz makeham model with modeling of physics data |
| url | http://dx.doi.org/10.1155/2022/2528583 |
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