Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data
In this paper, a new three-parameter lifetime distribution is introduced; the new model is a generalization of the log-logistic (LL) model, and it is called the alpha power transformed log-logistic (APTLL) distribution. The APTLL distribution is more flexible than some generalizations of log-logisti...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/2193787 |
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| author | Maha A. Aldahlan |
| author_facet | Maha A. Aldahlan |
| author_sort | Maha A. Aldahlan |
| collection | DOAJ |
| description | In this paper, a new three-parameter lifetime distribution is introduced; the new model is a generalization of the log-logistic (LL) model, and it is called the alpha power transformed log-logistic (APTLL) distribution. The APTLL distribution is more flexible than some generalizations of log-logistic distribution. We derived some mathematical properties including moments, moment-generating function, quantile function, Rényi entropy, and order statistics of the new model. The model parameters are estimated using maximum likelihood method of estimation. The simulation study is performed to investigate the effectiveness of the estimates. Finally, we used one real-life dataset to show the flexibility of the APTLL distribution. |
| format | Article |
| id | doaj-art-70211f9817c14ca1baf38de55286fd46 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-70211f9817c14ca1baf38de55286fd462025-02-03T05:53:10ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/21937872193787Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress DataMaha A. Aldahlan0Department of Statistics, College of Science, University of Jeddah, Jeddah, Saudi ArabiaIn this paper, a new three-parameter lifetime distribution is introduced; the new model is a generalization of the log-logistic (LL) model, and it is called the alpha power transformed log-logistic (APTLL) distribution. The APTLL distribution is more flexible than some generalizations of log-logistic distribution. We derived some mathematical properties including moments, moment-generating function, quantile function, Rényi entropy, and order statistics of the new model. The model parameters are estimated using maximum likelihood method of estimation. The simulation study is performed to investigate the effectiveness of the estimates. Finally, we used one real-life dataset to show the flexibility of the APTLL distribution.http://dx.doi.org/10.1155/2020/2193787 |
| spellingShingle | Maha A. Aldahlan Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data Advances in Mathematical Physics |
| title | Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data |
| title_full | Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data |
| title_fullStr | Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data |
| title_full_unstemmed | Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data |
| title_short | Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data |
| title_sort | alpha power transformed log logistic distribution with application to breaking stress data |
| url | http://dx.doi.org/10.1155/2020/2193787 |
| work_keys_str_mv | AT mahaaaldahlan alphapowertransformedloglogisticdistributionwithapplicationtobreakingstressdata |