Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions
This paper proposes different methods of estimating the scale parameter in the inverse Weibull distribution (IWD). Specifically, the maximum likelihood estimator of the scale parameter in IWD is introduced. We then derived the Bayes estimators for the scale parameter in IWD by considering quasi, gam...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2013/890914 |
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| _version_ | 1850166263672733696 |
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| author | Farhad Yahgmaei Manoochehr Babanezhad Omid S. Moghadam |
| author_facet | Farhad Yahgmaei Manoochehr Babanezhad Omid S. Moghadam |
| author_sort | Farhad Yahgmaei |
| collection | DOAJ |
| description | This paper proposes different methods of estimating the scale parameter in the inverse Weibull distribution (IWD). Specifically, the maximum likelihood estimator of the scale parameter in IWD is introduced. We then derived the Bayes estimators for the scale parameter in IWD by considering quasi, gamma, and uniform priors distributions under the square error, entropy, and precautionary loss functions. Finally, the different proposed estimators have been compared by the extensive simulation studies in corresponding the mean square errors and the evolution of risk functions. |
| format | Article |
| id | doaj-art-dbbfdec4d16e4e59a45d4492a0e07cc6 |
| institution | OA Journals |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-dbbfdec4d16e4e59a45d4492a0e07cc62025-08-20T02:21:30ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/890914890914Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss FunctionsFarhad Yahgmaei0Manoochehr Babanezhad1Omid S. Moghadam2Department of Statistics, Faculty of Sciences, Golestan University, Gorgan 49138-15739, Golestan, IranDepartment of Statistics, Faculty of Sciences, Golestan University, Gorgan 49138-15739, Golestan, IranDepartment of Statistics, Faculty of Sciences, Golestan University, Gorgan 49138-15739, Golestan, IranThis paper proposes different methods of estimating the scale parameter in the inverse Weibull distribution (IWD). Specifically, the maximum likelihood estimator of the scale parameter in IWD is introduced. We then derived the Bayes estimators for the scale parameter in IWD by considering quasi, gamma, and uniform priors distributions under the square error, entropy, and precautionary loss functions. Finally, the different proposed estimators have been compared by the extensive simulation studies in corresponding the mean square errors and the evolution of risk functions.http://dx.doi.org/10.1155/2013/890914 |
| spellingShingle | Farhad Yahgmaei Manoochehr Babanezhad Omid S. Moghadam Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions Journal of Probability and Statistics |
| title | Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions |
| title_full | Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions |
| title_fullStr | Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions |
| title_full_unstemmed | Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions |
| title_short | Bayesian Estimation of the Scale Parameter of Inverse Weibull Distribution under the Asymmetric Loss Functions |
| title_sort | bayesian estimation of the scale parameter of inverse weibull distribution under the asymmetric loss functions |
| url | http://dx.doi.org/10.1155/2013/890914 |
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