Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution
This article deals with the problem of reliability in a multicomponent stress-strength (MSS) model when both stress and strength variables are from exponentiated Teissier (ET) distributions. The reliability of the system is determined using both classical and Bayesian methods, based on two scenario...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Austrian Statistical Society
2022-08-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | https://www.ajs.or.at/index.php/ajs/article/view/1327 |
| _version_ | 1811282287690514432 |
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| author | Hossein Pasha-Zanoosi Ahmad Pourdarvish Akbar Asgharzadeh |
| author_facet | Hossein Pasha-Zanoosi Ahmad Pourdarvish Akbar Asgharzadeh |
| author_sort | Hossein Pasha-Zanoosi |
| collection | DOAJ |
| description |
This article deals with the problem of reliability in a multicomponent stress-strength (MSS) model when both stress and strength variables are from exponentiated Teissier (ET) distributions. The reliability of the system is determined using both classical and Bayesian methods, based on two scenarios where the common scale parameter is unknown or known. In the first scenario, where the common scale parameter is unknown, the maximum likelihood estimation (MLE) and the approximate Bayes estimation are derived. In the second scenario, where the scale parameter is known, the MLE, the uniformly minimum variance unbiased estimator (UMVUE) and the exact Bayes estimation are obtained. In the both scenarios, the asymptotic confidence interval and the highest probability density credible interval are established. Furthermore, two other asymptotic confidence intervals are computed based on the Logit and Arcsin transformations. Monte Carlo simulations are implemented to compare the different proposed methods. Finally, one real example is presented in support of suggested procedures.
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| first_indexed | 2024-04-13T01:49:49Z |
| format | Article |
| id | doaj.art-ba4bb2f091054f4f99605bdc9e03f7db |
| institution | Directory Open Access Journal |
| issn | 1026-597X |
| language | English |
| last_indexed | 2024-04-13T01:49:49Z |
| publishDate | 2022-08-01 |
| publisher | Austrian Statistical Society |
| record_format | Article |
| series | Austrian Journal of Statistics |
| spelling | doaj.art-ba4bb2f091054f4f99605bdc9e03f7db2022-12-22T03:07:55ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2022-08-0151410.17713/ajs.v51i4.1327Multicomponent Stress-strength Reliability with Exponentiated Teissier DistributionHossein Pasha-Zanoosi0Ahmad PourdarvishAkbar Asgharzadeh1Department of Statistics, University of Mazandaran, Babolsar, IranDepartment of Statistics, University of Mazandaran, Babolsar, Iran This article deals with the problem of reliability in a multicomponent stress-strength (MSS) model when both stress and strength variables are from exponentiated Teissier (ET) distributions. The reliability of the system is determined using both classical and Bayesian methods, based on two scenarios where the common scale parameter is unknown or known. In the first scenario, where the common scale parameter is unknown, the maximum likelihood estimation (MLE) and the approximate Bayes estimation are derived. In the second scenario, where the scale parameter is known, the MLE, the uniformly minimum variance unbiased estimator (UMVUE) and the exact Bayes estimation are obtained. In the both scenarios, the asymptotic confidence interval and the highest probability density credible interval are established. Furthermore, two other asymptotic confidence intervals are computed based on the Logit and Arcsin transformations. Monte Carlo simulations are implemented to compare the different proposed methods. Finally, one real example is presented in support of suggested procedures. https://www.ajs.or.at/index.php/ajs/article/view/1327 |
| spellingShingle | Hossein Pasha-Zanoosi Ahmad Pourdarvish Akbar Asgharzadeh Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution Austrian Journal of Statistics |
| title | Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution |
| title_full | Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution |
| title_fullStr | Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution |
| title_full_unstemmed | Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution |
| title_short | Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution |
| title_sort | multicomponent stress strength reliability with exponentiated teissier distribution |
| url | https://www.ajs.or.at/index.php/ajs/article/view/1327 |
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