Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring
This paper develops the problem of estimating stress-strength reliability for Gompertz lifetime distribution. First, the maximum likelihood estimation (MLE) and exact and asymptotic confidence intervals for stress-strength reliability are obtained. Then, Bayes estimators under informative and noninf...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2129677 |
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| _version_ | 1849415385477021696 |
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| author | Z. Karimi Ezmareh G. Yari |
| author_facet | Z. Karimi Ezmareh G. Yari |
| author_sort | Z. Karimi Ezmareh |
| collection | DOAJ |
| description | This paper develops the problem of estimating stress-strength reliability for Gompertz lifetime distribution. First, the maximum likelihood estimation (MLE) and exact and asymptotic confidence intervals for stress-strength reliability are obtained. Then, Bayes estimators under informative and noninformative prior distributions are obtained by using Lindley approximation, Monte Carlo integration, and MCMC. Bayesian credible intervals are constructed under these prior distributions. Also, simulation studies are used to illustrate these inference methods. Finally, a real dataset is analyzed to show the implementation of the proposed methodologies. |
| format | Article |
| id | doaj-art-7500a4ee596548e1aa164c0acb2aa42c |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7500a4ee596548e1aa164c0acb2aa42c2025-08-20T03:33:32ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2129677Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II CensoringZ. Karimi Ezmareh0G. Yari1Iran University of Science & TechnologyIran University of Science & TechnologyThis paper develops the problem of estimating stress-strength reliability for Gompertz lifetime distribution. First, the maximum likelihood estimation (MLE) and exact and asymptotic confidence intervals for stress-strength reliability are obtained. Then, Bayes estimators under informative and noninformative prior distributions are obtained by using Lindley approximation, Monte Carlo integration, and MCMC. Bayesian credible intervals are constructed under these prior distributions. Also, simulation studies are used to illustrate these inference methods. Finally, a real dataset is analyzed to show the implementation of the proposed methodologies.http://dx.doi.org/10.1155/2022/2129677 |
| spellingShingle | Z. Karimi Ezmareh G. Yari Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring Advances in Mathematical Physics |
| title | Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring |
| title_full | Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring |
| title_fullStr | Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring |
| title_full_unstemmed | Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring |
| title_short | Statistical Inference of Stress-Strength Reliability of Gompertz Distribution under Type II Censoring |
| title_sort | statistical inference of stress strength reliability of gompertz distribution under type ii censoring |
| url | http://dx.doi.org/10.1155/2022/2129677 |
| work_keys_str_mv | AT zkarimiezmareh statisticalinferenceofstressstrengthreliabilityofgompertzdistributionundertypeiicensoring AT gyari statisticalinferenceofstressstrengthreliabilityofgompertzdistributionundertypeiicensoring |