On the Alpha Power Transformed Power Lindley Distribution
In this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2019/8024769 |
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| _version_ | 1832556722649038848 |
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| author | Amal S. Hassan M. Elgarhy Rokaya E. Mohamd Sharifah Alrajhi |
| author_facet | Amal S. Hassan M. Elgarhy Rokaya E. Mohamd Sharifah Alrajhi |
| author_sort | Amal S. Hassan |
| collection | DOAJ |
| description | In this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and gamma as special submodels. Various properties of the APTPL distribution including moments, incomplete moments, quantiles, entropy, and stochastic ordering are obtained. Maximum likelihood, maximum products of spacings, and ordinary and weighted least squares methods of estimation are utilized to obtain the estimators of the population parameters. Extensive numerical simulation is performed to examine and compare the performance of different estimates. Two important data sets are employed to show how the proposed model works in practice. |
| format | Article |
| id | doaj-art-fee1fe5b699445f3bd790e59a2cb4089 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-fee1fe5b699445f3bd790e59a2cb40892025-02-03T05:44:38ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/80247698024769On the Alpha Power Transformed Power Lindley DistributionAmal S. Hassan0M. Elgarhy1Rokaya E. Mohamd2Sharifah Alrajhi3Institute of Statistical Studies and Research, Cairo University, EgyptVice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jeddah, Saudi ArabiaInstitute of Statistical Studies and Research, Cairo University, EgyptStatistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Saudi ArabiaIn this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and gamma as special submodels. Various properties of the APTPL distribution including moments, incomplete moments, quantiles, entropy, and stochastic ordering are obtained. Maximum likelihood, maximum products of spacings, and ordinary and weighted least squares methods of estimation are utilized to obtain the estimators of the population parameters. Extensive numerical simulation is performed to examine and compare the performance of different estimates. Two important data sets are employed to show how the proposed model works in practice.http://dx.doi.org/10.1155/2019/8024769 |
| spellingShingle | Amal S. Hassan M. Elgarhy Rokaya E. Mohamd Sharifah Alrajhi On the Alpha Power Transformed Power Lindley Distribution Journal of Probability and Statistics |
| title | On the Alpha Power Transformed Power Lindley Distribution |
| title_full | On the Alpha Power Transformed Power Lindley Distribution |
| title_fullStr | On the Alpha Power Transformed Power Lindley Distribution |
| title_full_unstemmed | On the Alpha Power Transformed Power Lindley Distribution |
| title_short | On the Alpha Power Transformed Power Lindley Distribution |
| title_sort | on the alpha power transformed power lindley distribution |
| url | http://dx.doi.org/10.1155/2019/8024769 |
| work_keys_str_mv | AT amalshassan onthealphapowertransformedpowerlindleydistribution AT melgarhy onthealphapowertransformedpowerlindleydistribution AT rokayaemohamd onthealphapowertransformedpowerlindleydistribution AT sharifahalrajhi onthealphapowertransformedpowerlindleydistribution |