Comparison of Estimation Methods of the Power Generalized Weibull Distribution
This article aims to discuss different estimation methods for the power generalized Weibull distribution. An extensive simulation study is carried out to assess the effectiveness of the estimation of model parameters using numerous well known classical methods of estimation. Furthermore, the Bayes e...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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University of Bologna
2024-02-01
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| Series: | Statistica |
| Subjects: | |
| Online Access: | https://rivista-statistica.unibo.it/article/view/12924 |
| _version_ | 1827337729930690560 |
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| author | Sanku Dey Mazen Nassar Sajid Ali Devendra Kumar Enayetur Raheem |
| author_facet | Sanku Dey Mazen Nassar Sajid Ali Devendra Kumar Enayetur Raheem |
| author_sort | Sanku Dey |
| collection | DOAJ |
| description | This article aims to discuss different estimation methods for the power generalized Weibull distribution. An extensive simulation study is carried out to assess the effectiveness of the estimation of model parameters using numerous well known classical methods of estimation. Furthermore, the Bayes estimators of the unknown parameters are also obtained under different loss functions. Monte Carlo simulations are used to assess the performances of the proposed estimators. Besides, bootstrap/ credible intervals are obtained based on considered methods of estimation. Finally, the potentiality of the distribution is illustrated by means of re-analyzing one real data set. |
| first_indexed | 2024-03-07T19:00:19Z |
| format | Article |
| id | doaj.art-83fc27eae57c47d4ae30a11112b1155d |
| institution | Directory Open Access Journal |
| issn | 0390-590X 1973-2201 |
| language | English |
| last_indexed | 2024-03-07T19:00:19Z |
| publishDate | 2024-02-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Statistica |
| spelling | doaj.art-83fc27eae57c47d4ae30a11112b1155d2024-03-01T15:43:30ZengUniversity of BolognaStatistica0390-590X1973-22012024-02-0182433937210.6092/issn.1973-2201/1292411235Comparison of Estimation Methods of the Power Generalized Weibull DistributionSanku Dey0Mazen Nassar1Sajid Ali2Devendra Kumar3https://orcid.org/0000-0001-5831-3315Enayetur Raheem4St. Anthony’s College, Shillong, IndiaKing Abdulaziz University, Saudi ArabiaQuaid-i-Azam University, Islamabad 45320, PakistanUniversity of Delhi, IndiaUniversity of Northern Colorado, Greeley, CO, USAThis article aims to discuss different estimation methods for the power generalized Weibull distribution. An extensive simulation study is carried out to assess the effectiveness of the estimation of model parameters using numerous well known classical methods of estimation. Furthermore, the Bayes estimators of the unknown parameters are also obtained under different loss functions. Monte Carlo simulations are used to assess the performances of the proposed estimators. Besides, bootstrap/ credible intervals are obtained based on considered methods of estimation. Finally, the potentiality of the distribution is illustrated by means of re-analyzing one real data set.https://rivista-statistica.unibo.it/article/view/12924power generalized weibull distributionmaximum product of spacings estimatorspercentile estimatorsorder statistics |
| spellingShingle | Sanku Dey Mazen Nassar Sajid Ali Devendra Kumar Enayetur Raheem Comparison of Estimation Methods of the Power Generalized Weibull Distribution Statistica power generalized weibull distribution maximum product of spacings estimators percentile estimators order statistics |
| title | Comparison of Estimation Methods of the Power Generalized Weibull Distribution |
| title_full | Comparison of Estimation Methods of the Power Generalized Weibull Distribution |
| title_fullStr | Comparison of Estimation Methods of the Power Generalized Weibull Distribution |
| title_full_unstemmed | Comparison of Estimation Methods of the Power Generalized Weibull Distribution |
| title_short | Comparison of Estimation Methods of the Power Generalized Weibull Distribution |
| title_sort | comparison of estimation methods of the power generalized weibull distribution |
| topic | power generalized weibull distribution maximum product of spacings estimators percentile estimators order statistics |
| url | https://rivista-statistica.unibo.it/article/view/12924 |
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