A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution
This article presents a new bivariate extended generalized inverted Kumaraswamy Weibull (BIEGIKw-Weibull) distribution with nine parameters. Statistical properties of the new distribution are discussed. Forms of copulas, moments, conditional moments, bivariate reliability function, and bivariate haz...
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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: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1243018 |
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| _version_ | 1832553712055222272 |
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| author | Mahmoud Ragab Ahmed Elhassanein |
| author_facet | Mahmoud Ragab Ahmed Elhassanein |
| author_sort | Mahmoud Ragab |
| collection | DOAJ |
| description | This article presents a new bivariate extended generalized inverted Kumaraswamy Weibull (BIEGIKw-Weibull) distribution with nine parameters. Statistical properties of the new distribution are discussed. Forms of copulas, moments, conditional moments, bivariate reliability function, and bivariate hazard rate function are derived. Maximum likelihood estimators are formulated. Simulation is conducted for three different sets of parameters to verify the theoretical results and to discuss the new distribution properties. The performance of the maximum likelihood method is investigated via Monte Carlo simulation depending on the bias and the standard error. Simulated lifetime data is used as an application of the new model. |
| format | Article |
| id | doaj-art-d3302d56e15f47f0a018578dd6c5d92b |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d3302d56e15f47f0a018578dd6c5d92b2025-02-03T05:53:26ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1243018A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull DistributionMahmoud Ragab0Ahmed Elhassanein1Information Technology DepartmentDepartment of MathematicsThis article presents a new bivariate extended generalized inverted Kumaraswamy Weibull (BIEGIKw-Weibull) distribution with nine parameters. Statistical properties of the new distribution are discussed. Forms of copulas, moments, conditional moments, bivariate reliability function, and bivariate hazard rate function are derived. Maximum likelihood estimators are formulated. Simulation is conducted for three different sets of parameters to verify the theoretical results and to discuss the new distribution properties. The performance of the maximum likelihood method is investigated via Monte Carlo simulation depending on the bias and the standard error. Simulated lifetime data is used as an application of the new model.http://dx.doi.org/10.1155/2022/1243018 |
| spellingShingle | Mahmoud Ragab Ahmed Elhassanein A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution Advances in Mathematical Physics |
| title | A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution |
| title_full | A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution |
| title_fullStr | A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution |
| title_full_unstemmed | A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution |
| title_short | A New Bivariate Extended Generalized Inverted Kumaraswamy Weibull Distribution |
| title_sort | new bivariate extended generalized inverted kumaraswamy weibull distribution |
| url | http://dx.doi.org/10.1155/2022/1243018 |
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