Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function
In this paper, some estimators for the unknown shape parameter and reliability function of Basic Gompertz distribution have been obtained, such as Maximum likelihood estimator and Bayesian estimators under Precautionary loss function using Gamma prior and Jefferys prior. Monte-Carlo simulation...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2020-04-01
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| Series: | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| Subjects: | |
| Online Access: | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2435 |
| _version_ | 1818268756608024576 |
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| author | Manahel Kh. Awad Huda A. Rasheed |
| author_facet | Manahel Kh. Awad Huda A. Rasheed |
| author_sort | Manahel Kh. Awad |
| collection | DOAJ |
| description |
In this paper, some estimators for the unknown shape parameter and reliability function of Basic Gompertz distribution have been obtained, such as Maximum likelihood estimator and Bayesian estimators under Precautionary loss function using Gamma prior and Jefferys prior. Monte-Carlo simulation is conducted to compare mean squared errors (MSE) for all these estimators for the shape parameter and integrated mean squared error (IMSE's) for comparing the performance of the Reliability estimators. Finally, the discussion is provided to illustrate the results that summarized in tables.
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| first_indexed | 2024-12-12T20:43:33Z |
| format | Article |
| id | doaj.art-062dbdfe9d114f29a6707c50fb228217 |
| institution | Directory Open Access Journal |
| issn | 1609-4042 2521-3407 |
| language | English |
| last_indexed | 2024-12-12T20:43:33Z |
| publishDate | 2020-04-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Ibn Al-Haitham Journal for Pure and Applied Sciences |
| spelling | doaj.art-062dbdfe9d114f29a6707c50fb2282172022-12-22T00:12:39ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072020-04-0133210.30526/33.2.2435Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss FunctionManahel Kh. AwadHuda A. Rasheed In this paper, some estimators for the unknown shape parameter and reliability function of Basic Gompertz distribution have been obtained, such as Maximum likelihood estimator and Bayesian estimators under Precautionary loss function using Gamma prior and Jefferys prior. Monte-Carlo simulation is conducted to compare mean squared errors (MSE) for all these estimators for the shape parameter and integrated mean squared error (IMSE's) for comparing the performance of the Reliability estimators. Finally, the discussion is provided to illustrate the results that summarized in tables. https://jih.uobaghdad.edu.iq/index.php/j/article/view/2435Basic Gompertz distribution, Maximum likelihood estimator, Bayes estimator, Precautionary loss function, Mean squared errors. |
| spellingShingle | Manahel Kh. Awad Huda A. Rasheed Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function Ibn Al-Haitham Journal for Pure and Applied Sciences Basic Gompertz distribution, Maximum likelihood estimator, Bayes estimator, Precautionary loss function, Mean squared errors. |
| title | Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function |
| title_full | Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function |
| title_fullStr | Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function |
| title_full_unstemmed | Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function |
| title_short | Bayesian Inference for the Parameter and Reliability Function of Basic Gompertz Distribution under Precautionary loss Function |
| title_sort | bayesian inference for the parameter and reliability function of basic gompertz distribution under precautionary loss function |
| topic | Basic Gompertz distribution, Maximum likelihood estimator, Bayes estimator, Precautionary loss function, Mean squared errors. |
| url | https://jih.uobaghdad.edu.iq/index.php/j/article/view/2435 |
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