Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples
This paper is concerned with estimation of the parameter of Burr type VIII distribution under a Bayesian framework using censored samples. The Bayes estimators and associated risks have been derived under the assumption of five priors and three loss functions. The comparison among the performance of...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/519469 |
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| _version_ | 1832565078999695360 |
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| author | Navid Feroz |
| author_facet | Navid Feroz |
| author_sort | Navid Feroz |
| collection | DOAJ |
| description | This paper is concerned with estimation of the parameter of Burr type VIII distribution under a Bayesian framework using censored samples. The Bayes estimators and associated risks have been derived under the assumption of five priors and three loss functions. The comparison among the performance of different estimators has been made in terms of posterior risks. A simulation study has been conducted in order to assess and compare the performance of different estimators. The study proposes the use of inverse Levy prior based on quadratic loss function for Bayes estimation of the said parameter. |
| format | Article |
| id | doaj-art-22e7cf695ff34bafac05c730b94a5d46 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-22e7cf695ff34bafac05c730b94a5d462025-02-03T01:09:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/519469519469Bayesian Inference of Burr Type VIII Distribution Based on Censored SamplesNavid Feroz0Department of Mathematics and Statistics, Allama Iqbal Open University, Islamabad, PakistanThis paper is concerned with estimation of the parameter of Burr type VIII distribution under a Bayesian framework using censored samples. The Bayes estimators and associated risks have been derived under the assumption of five priors and three loss functions. The comparison among the performance of different estimators has been made in terms of posterior risks. A simulation study has been conducted in order to assess and compare the performance of different estimators. The study proposes the use of inverse Levy prior based on quadratic loss function for Bayes estimation of the said parameter.http://dx.doi.org/10.1155/2014/519469 |
| spellingShingle | Navid Feroz Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples International Journal of Mathematics and Mathematical Sciences |
| title | Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples |
| title_full | Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples |
| title_fullStr | Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples |
| title_full_unstemmed | Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples |
| title_short | Bayesian Inference of Burr Type VIII Distribution Based on Censored Samples |
| title_sort | bayesian inference of burr type viii distribution based on censored samples |
| url | http://dx.doi.org/10.1155/2014/519469 |
| work_keys_str_mv | AT navidferoz bayesianinferenceofburrtypeviiidistributionbasedoncensoredsamples |