Power Prior Elicitation in Bayesian Quantile Regression
We address a quantile dependent prior for Bayesian quantile regression. We extend the idea of the power prior distribution in Bayesian quantile regression by employing the likelihood function that is based on a location-scale mixture representation of the asymmetric Laplace distribution. The proprie...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2011/874907 |
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| _version_ | 1832566559607881728 |
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| author | Rahim Alhamzawi Keming Yu |
| author_facet | Rahim Alhamzawi Keming Yu |
| author_sort | Rahim Alhamzawi |
| collection | DOAJ |
| description | We address a quantile dependent prior for Bayesian quantile regression. We extend the idea of the power prior distribution in Bayesian quantile regression by employing the likelihood function that is based on a location-scale mixture representation of the asymmetric Laplace distribution. The propriety of the power prior is one of the critical issues in Bayesian analysis. Thus, we discuss the propriety of the power prior in Bayesian quantile regression. The methods are illustrated with
both simulation and real data. |
| format | Article |
| id | doaj-art-a0a8baa183c449278185f77809df67e3 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-a0a8baa183c449278185f77809df67e32025-02-03T01:03:47ZengWileyJournal of Probability and Statistics1687-952X1687-95382011-01-01201110.1155/2011/874907874907Power Prior Elicitation in Bayesian Quantile RegressionRahim Alhamzawi0Keming Yu1Department of Mathematical Sciences, Brunel University, Uxbridge UBB 3PH, UKDepartment of Mathematical Sciences, Brunel University, Uxbridge UBB 3PH, UKWe address a quantile dependent prior for Bayesian quantile regression. We extend the idea of the power prior distribution in Bayesian quantile regression by employing the likelihood function that is based on a location-scale mixture representation of the asymmetric Laplace distribution. The propriety of the power prior is one of the critical issues in Bayesian analysis. Thus, we discuss the propriety of the power prior in Bayesian quantile regression. The methods are illustrated with both simulation and real data.http://dx.doi.org/10.1155/2011/874907 |
| spellingShingle | Rahim Alhamzawi Keming Yu Power Prior Elicitation in Bayesian Quantile Regression Journal of Probability and Statistics |
| title | Power Prior Elicitation in Bayesian Quantile Regression |
| title_full | Power Prior Elicitation in Bayesian Quantile Regression |
| title_fullStr | Power Prior Elicitation in Bayesian Quantile Regression |
| title_full_unstemmed | Power Prior Elicitation in Bayesian Quantile Regression |
| title_short | Power Prior Elicitation in Bayesian Quantile Regression |
| title_sort | power prior elicitation in bayesian quantile regression |
| url | http://dx.doi.org/10.1155/2011/874907 |
| work_keys_str_mv | AT rahimalhamzawi powerpriorelicitationinbayesianquantileregression AT kemingyu powerpriorelicitationinbayesianquantileregression |