Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model
In this paper, it has been dealt with basic Gompertz distribution. The maximum likelihood, Bayes methods of estimation were used to estimate the unknown shape parameter. The failure rate (hazard) function with the least loss was found using different priors (Gamma, exponential, chi-square and triple...
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| Format: | Article |
| Language: | English |
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University of Anbar
2022-02-01
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| Series: | مجلة جامعة الانبار للعلوم الصرفة |
| Subjects: | |
| Online Access: | https://juaps.uoanbar.edu.iq/article_172394_d37e05c3e7be82b2dda6ae709941548a.pdf |
| _version_ | 1797373229987266560 |
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| author | Nadia Al-Obedy Amal Mohammed Sudad Abraheem |
| author_facet | Nadia Al-Obedy Amal Mohammed Sudad Abraheem |
| author_sort | Nadia Al-Obedy |
| collection | DOAJ |
| description | In this paper, it has been dealt with basic Gompertz distribution. The maximum likelihood, Bayes methods of estimation were used to estimate the unknown shape parameter. The failure rate (hazard) function with the least loss was found using different priors (Gamma, exponential, chi-square and triple prior) under symmetric loss function (Degroot loss function). A comparison was made about the performance of these estimators with the numerical solution that was found using expansion methods (Bernstein polynomial and power function) which was applied to find the failure rate function numerically. The proficiency test of the proposed methods was conducted with a number of test examples. Finally, for computations the Matlab (R2015b) is used. |
| first_indexed | 2024-03-08T18:47:22Z |
| format | Article |
| id | doaj.art-ccfea7e060a04d258b79b99148f692c0 |
| institution | Directory Open Access Journal |
| issn | 1991-8941 2706-6703 |
| language | English |
| last_indexed | 2024-03-08T18:47:22Z |
| publishDate | 2022-02-01 |
| publisher | University of Anbar |
| record_format | Article |
| series | مجلة جامعة الانبار للعلوم الصرفة |
| spelling | doaj.art-ccfea7e060a04d258b79b99148f692c02023-12-28T22:00:47ZengUniversity of Anbarمجلة جامعة الانبار للعلوم الصرفة1991-89412706-67032022-02-01142889410.37652/juaps.2022.172394172394Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz ModelNadia Al-Obedy0Amal Mohammed1Sudad Abraheem2Department of Mathematics /College of Science / Mustansiriyah University, Baghdad, IraqDepartment of Wayys&Transportation / College of Engineering / Mustansiriyah University,Department of Mathematics /College of Science / Mustansiriyah University, IraqIn this paper, it has been dealt with basic Gompertz distribution. The maximum likelihood, Bayes methods of estimation were used to estimate the unknown shape parameter. The failure rate (hazard) function with the least loss was found using different priors (Gamma, exponential, chi-square and triple prior) under symmetric loss function (Degroot loss function). A comparison was made about the performance of these estimators with the numerical solution that was found using expansion methods (Bernstein polynomial and power function) which was applied to find the failure rate function numerically. The proficiency test of the proposed methods was conducted with a number of test examples. Finally, for computations the Matlab (R2015b) is used.https://juaps.uoanbar.edu.iq/article_172394_d37e05c3e7be82b2dda6ae709941548a.pdfgompertzbayesfailure rateexpansionbernsteinpower function |
| spellingShingle | Nadia Al-Obedy Amal Mohammed Sudad Abraheem Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model مجلة جامعة الانبار للعلوم الصرفة gompertz bayes failure rate expansion bernstein power function |
| title | Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model |
| title_full | Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model |
| title_fullStr | Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model |
| title_full_unstemmed | Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model |
| title_short | Numerical Methods on the Triple Informative Prior Distribution for the Failure Rate Basic Gompertz Model |
| title_sort | numerical methods on the triple informative prior distribution for the failure rate basic gompertz model |
| topic | gompertz bayes failure rate expansion bernstein power function |
| url | https://juaps.uoanbar.edu.iq/article_172394_d37e05c3e7be82b2dda6ae709941548a.pdf |
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