Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model
Exponentiated exponential (EE) model has been used effectively in reliability, engineering, biomedical, social sciences, and other applications. In this study, we introduce a new bivariate mixture EE model with two parameters assuming two cases, independent and dependent random variables. We develop...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5200979 |
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| author | Refah Alotaibi Mervat Khalifa Ehab M. Almetwally Indranil Ghosh Rezk. H. |
| author_facet | Refah Alotaibi Mervat Khalifa Ehab M. Almetwally Indranil Ghosh Rezk. H. |
| author_sort | Refah Alotaibi |
| collection | DOAJ |
| description | Exponentiated exponential (EE) model has been used effectively in reliability, engineering, biomedical, social sciences, and other applications. In this study, we introduce a new bivariate mixture EE model with two parameters assuming two cases, independent and dependent random variables. We develop a bivariate mixture starting from two EE models assuming two cases, two independent and two dependent EE models. We study some useful statistical properties of this distribution, such as marginals and conditional distributions and product moments and conditional moments. In addition, we study a dependent case, a new mixture of the bivariate model based on EE distribution marginal with two parameters and with a bivariate Gaussian copula. Different methods of estimation for the model parameters are used both under the classical and under the Bayesian paradigm. Some simulation studies are presented to verify the performance of the estimation methods of the proposed model. To illustrate the flexibility of the proposed model, a real dataset is reanalyzed. |
| format | Article |
| id | doaj-art-e3fc79ef82254aa88e3fe3bf74198b82 |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e3fc79ef82254aa88e3fe3bf74198b822025-08-20T02:21:24ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/52009795200979Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential ModelRefah Alotaibi0Mervat Khalifa1Ehab M. Almetwally2Indranil Ghosh3Rezk. H.4Mathematical Sciences Department, College of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11671, Saudi ArabiaDepartment of Statistics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematical Statistical, Faculty of Graduate Studies for Statistical Research, Cairo University, Cairo, EgyptDepartment of Mathematics and Statistics, University of North Carolina, Wilmington, NC, USADepartment of Statistics, Al-Azhar University, Cairo, EgyptExponentiated exponential (EE) model has been used effectively in reliability, engineering, biomedical, social sciences, and other applications. In this study, we introduce a new bivariate mixture EE model with two parameters assuming two cases, independent and dependent random variables. We develop a bivariate mixture starting from two EE models assuming two cases, two independent and two dependent EE models. We study some useful statistical properties of this distribution, such as marginals and conditional distributions and product moments and conditional moments. In addition, we study a dependent case, a new mixture of the bivariate model based on EE distribution marginal with two parameters and with a bivariate Gaussian copula. Different methods of estimation for the model parameters are used both under the classical and under the Bayesian paradigm. Some simulation studies are presented to verify the performance of the estimation methods of the proposed model. To illustrate the flexibility of the proposed model, a real dataset is reanalyzed.http://dx.doi.org/10.1155/2021/5200979 |
| spellingShingle | Refah Alotaibi Mervat Khalifa Ehab M. Almetwally Indranil Ghosh Rezk. H. Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model Journal of Mathematics |
| title | Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
| title_full | Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
| title_fullStr | Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
| title_full_unstemmed | Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
| title_short | Classical and Bayesian Inference of a Mixture of Bivariate Exponentiated Exponential Model |
| title_sort | classical and bayesian inference of a mixture of bivariate exponentiated exponential model |
| url | http://dx.doi.org/10.1155/2021/5200979 |
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