Bayesian parameter and reliability estimate of Weibull failure time distribution
Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/survival analysis. The Bayes approa...
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Bulletin of the Malaysian Mathematical Sciences Society , Malaysian Mathematical Sciences Society, Universiti Sains Malaysia, Springer
2014
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oai:www.myjurnal.my:841402018-09-20T00:00:00Z Bayesian parameter and reliability estimate of Weibull failure time distribution Nur Munawwarah Mathematics & statistics Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/survival analysis. The Bayes approach is obtained using Lindleys approximation technique with standard non-informative (vague) prior and a proposed generalisation of the noninformative prior. A simulation study is carried out to compare the performances of the methods. It is observed from the study that the unknown parameters, the reliability and hazard functions are best estimated by Bayes using linear exponential loss with the proposed prior followed by general entropy loss function. Bulletin of the Malaysian Mathematical Sciences Society , Malaysian Mathematical Sciences Society, Universiti Sains Malaysia, Springer Chris Bambey Guure 2014-00-00 Journal application/pdf 84140 www.myjurnal.my/filebank/published_article/3479101.pdf www.myjurnal.my/public/article-view.php?id=84140 |
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Online Access |
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Mathematics & statistics |
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Mathematics & statistics Nur Munawwarah Bayesian parameter and reliability estimate of Weibull failure time distribution |
| description |
Bayes and frequentist estimators are obtained for the two-parameter Weibull failure time distribution with uncensored observations as well as the survival/reliability and hazard function. The Weibull distribution is used extensively in life testing and reliability/survival analysis. The Bayes approach is obtained using Lindleys approximation technique with standard non-informative (vague) prior and a proposed generalisation of the noninformative prior. A simulation study is carried out to compare the performances of the methods. It is observed from the study that the unknown parameters, the reliability and hazard functions are best estimated by Bayes using linear exponential loss with the proposed prior followed by general entropy loss function. |
| author2 |
Chris Bambey Guure |
| author_facet |
Chris Bambey Guure Nur Munawwarah |
| format |
Journal |
| author |
Nur Munawwarah |
| author_sort |
Nur Munawwarah |
| title |
Bayesian parameter and reliability estimate of Weibull failure time distribution |
| title_short |
Bayesian parameter and reliability estimate of Weibull failure time distribution |
| title_full |
Bayesian parameter and reliability estimate of Weibull failure time distribution |
| title_fullStr |
Bayesian parameter and reliability estimate of Weibull failure time distribution |
| title_full_unstemmed |
Bayesian parameter and reliability estimate of Weibull failure time distribution |
| title_sort |
bayesian parameter and reliability estimate of weibull failure time distribution |
| publisher |
Bulletin of the Malaysian Mathematical Sciences Society , Malaysian Mathematical Sciences Society, Universiti Sains Malaysia, Springer |
| publishDate |
2014 |
| url |
http://www.myjurnal.my/public/article-view.php?id=84140 |
| first_indexed |
2018-09-20T12:02:59Z |
| last_indexed |
2018-09-20T12:02:59Z |
| _version_ |
1612235378614337536 |