Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme
We have developed the Bayesian estimation procedure for flexible Weibull distribution under Type-II censoring scheme assuming Jeffrey's scale invariant (noninformative) and Gamma (informative) priors for the model parameters. The interval estimation for the model parameters has been performed t...
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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/10.1155/2013/146140 |
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| author | Sanjay Kumar Singh Umesh Singh Vikas Kumar Sharma |
| author_facet | Sanjay Kumar Singh Umesh Singh Vikas Kumar Sharma |
| author_sort | Sanjay Kumar Singh |
| collection | DOAJ |
| description | We have developed the Bayesian estimation procedure for flexible Weibull distribution under Type-II censoring scheme assuming Jeffrey's scale invariant (noninformative) and Gamma (informative) priors for the model parameters. The interval estimation for the model parameters has been performed through normal approximation, bootstrap, and highest posterior density (HPD) procedures. Further, we have also derived the predictive posteriors and the corresponding predictive survival functions for the future observations based on Type-II censored data from the flexible Weibull distribution. Since the predictive posteriors are not in the closed form, we proposed to use the Monte Carlo Markov chain (MCMC) methods to approximate the posteriors of interest. The performance of the Bayes estimators has also been compared with the classical estimators of the model parameters through the Monte Carlo simulation study. A real data set representing the time between failures of secondary reactor pumps has been analysed for illustration purpose. |
| format | Article |
| id | doaj-art-6dd3a612f367458bab71d5cd6c78ca6b |
| institution | Kabale University |
| 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-6dd3a612f367458bab71d5cd6c78ca6b2025-02-03T01:21:19ZengWileyJournal of Probability and Statistics1687-952X1687-95382013-01-01201310.1155/2013/146140146140Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring SchemeSanjay Kumar Singh0Umesh Singh1Vikas Kumar Sharma2Department of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Statistics and DST-CIMS, Banaras Hindu University, Varanasi 221005, IndiaWe have developed the Bayesian estimation procedure for flexible Weibull distribution under Type-II censoring scheme assuming Jeffrey's scale invariant (noninformative) and Gamma (informative) priors for the model parameters. The interval estimation for the model parameters has been performed through normal approximation, bootstrap, and highest posterior density (HPD) procedures. Further, we have also derived the predictive posteriors and the corresponding predictive survival functions for the future observations based on Type-II censored data from the flexible Weibull distribution. Since the predictive posteriors are not in the closed form, we proposed to use the Monte Carlo Markov chain (MCMC) methods to approximate the posteriors of interest. The performance of the Bayes estimators has also been compared with the classical estimators of the model parameters through the Monte Carlo simulation study. A real data set representing the time between failures of secondary reactor pumps has been analysed for illustration purpose.http://dx.doi.org/10.1155/2013/146140 |
| spellingShingle | Sanjay Kumar Singh Umesh Singh Vikas Kumar Sharma Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme Journal of Probability and Statistics |
| title | Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme |
| title_full | Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme |
| title_fullStr | Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme |
| title_full_unstemmed | Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme |
| title_short | Bayesian Estimation and Prediction for Flexible Weibull Model under Type-II Censoring Scheme |
| title_sort | bayesian estimation and prediction for flexible weibull model under type ii censoring scheme |
| url | http://dx.doi.org/10.1155/2013/146140 |
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