Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution
In this paper, some estimators of the unknown shape parameter and reliability function of Basic Gompertz distribution (BGD) have been obtained, such as MLE, UMVUE, and MINMSE, in addition to estimating Bayesian estimators under Scale invariant squared error loss function assuming informative prior...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2020-07-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3801 |
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| author | Manahel Awad Huda Rashed |
| author_facet | Manahel Awad Huda Rashed |
| author_sort | Manahel Awad |
| collection | DOAJ |
| description | In this paper, some estimators of the unknown shape parameter and reliability function of Basic Gompertz distribution (BGD) have been obtained, such as MLE, UMVUE, and MINMSE, in addition to estimating Bayesian estimators under Scale invariant squared error loss function assuming informative prior represented by Gamma distribution and non-informative prior by using Jefferys prior. Using Monte Carlo simulation method, these estimators of the shape parameter and R(t), have been compared based on mean squared errors and integrated mean squared, respectively |
| format | Article |
| id | doaj-art-5a6d7aebcedb48b3b5b86f5d149699c0 |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-07-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-5a6d7aebcedb48b3b5b86f5d149699c02025-08-20T03:33:08ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-07-0117310.21123/bsj.2020.17.3.0854Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz DistributionManahel Awad0Huda Rashed1Mustansiriyah UniversityMustansiriyah UniversityIn this paper, some estimators of the unknown shape parameter and reliability function of Basic Gompertz distribution (BGD) have been obtained, such as MLE, UMVUE, and MINMSE, in addition to estimating Bayesian estimators under Scale invariant squared error loss function assuming informative prior represented by Gamma distribution and non-informative prior by using Jefferys prior. Using Monte Carlo simulation method, these estimators of the shape parameter and R(t), have been compared based on mean squared errors and integrated mean squared, respectivelyhttp://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3801Basic Gompertz distribution, MinMSE estimator, MLE, Scale invariant squared error loss function, UMVUE. |
| spellingShingle | Manahel Awad Huda Rashed Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution مجلة بغداد للعلوم Basic Gompertz distribution, MinMSE estimator, MLE, Scale invariant squared error loss function, UMVUE. |
| title | Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution |
| title_full | Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution |
| title_fullStr | Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution |
| title_full_unstemmed | Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution |
| title_short | Bayesian and Non - Bayesian Inference for Shape Parameter and Reliability Function of Basic Gompertz Distribution |
| title_sort | bayesian and non bayesian inference for shape parameter and reliability function of basic gompertz distribution |
| topic | Basic Gompertz distribution, MinMSE estimator, MLE, Scale invariant squared error loss function, UMVUE. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3801 |
| work_keys_str_mv | AT manahelawad bayesianandnonbayesianinferenceforshapeparameterandreliabilityfunctionofbasicgompertzdistribution AT hudarashed bayesianandnonbayesianinferenceforshapeparameterandreliabilityfunctionofbasicgompertzdistribution |