Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions
The Bayes estimators of the shape parameter of exponentiated family of distributions have been derived by considering extension of Jeffreys' noninformative as well as conjugate priors under different scale-invariant loss functions, namely, weighted quadratic loss function, squared-log error los...
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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/10.1155/2011/457472 |
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| author | Sanku Dey Sudhansu S. Maiti |
| author_facet | Sanku Dey Sudhansu S. Maiti |
| author_sort | Sanku Dey |
| collection | DOAJ |
| description | The Bayes estimators of the shape parameter of exponentiated family of distributions have been derived by considering extension of Jeffreys' noninformative as well as conjugate priors under different scale-invariant loss functions, namely, weighted quadratic loss function, squared-log error loss function and general entropy loss function. The risk functions of these estimators have been studied. We have also considered the highest posterior density (HPD) intervals for the parameter and the equal-tail and HPD prediction intervals for future
observation. Finally, we analyze one data set for illustration. |
| format | Article |
| id | doaj-art-16429f5e682547bd9723943719a37adb |
| 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-16429f5e682547bd9723943719a37adb2025-02-03T01:10:16ZengWileyJournal of Probability and Statistics1687-952X1687-95382011-01-01201110.1155/2011/457472457472Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of DistributionsSanku Dey0Sudhansu S. Maiti1Department of Statistics, St. Anthony's College, Shillong 793 001, IndiaDepartment of Statistics, Visva-Bharati University, Santiniketan 731 235, IndiaThe Bayes estimators of the shape parameter of exponentiated family of distributions have been derived by considering extension of Jeffreys' noninformative as well as conjugate priors under different scale-invariant loss functions, namely, weighted quadratic loss function, squared-log error loss function and general entropy loss function. The risk functions of these estimators have been studied. We have also considered the highest posterior density (HPD) intervals for the parameter and the equal-tail and HPD prediction intervals for future observation. Finally, we analyze one data set for illustration.http://dx.doi.org/10.1155/2011/457472 |
| spellingShingle | Sanku Dey Sudhansu S. Maiti Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions Journal of Probability and Statistics |
| title | Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions |
| title_full | Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions |
| title_fullStr | Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions |
| title_full_unstemmed | Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions |
| title_short | Bayesian Inference on the Shape Parameter and Future Observation of Exponentiated Family of Distributions |
| title_sort | bayesian inference on the shape parameter and future observation of exponentiated family of distributions |
| url | http://dx.doi.org/10.1155/2011/457472 |
| work_keys_str_mv | AT sankudey bayesianinferenceontheshapeparameterandfutureobservationofexponentiatedfamilyofdistributions AT sudhansusmaiti bayesianinferenceontheshapeparameterandfutureobservationofexponentiatedfamilyofdistributions |