Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data
In this paper, we study the inference of the multicomponent stress–strength reliability (MSSR) based on the Chen distribution using progressively Type-II censored data. Both the stress and strength variables follow the Chen distribution with a common second shape parameter. The maximum likelihood es...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/11/6509 |
| _version_ | 1827739783120551936 |
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| author | Chaoen Hu Wenhao Gui |
| author_facet | Chaoen Hu Wenhao Gui |
| author_sort | Chaoen Hu |
| collection | DOAJ |
| description | In this paper, we study the inference of the multicomponent stress–strength reliability (MSSR) based on the Chen distribution using progressively Type-II censored data. Both the stress and strength variables follow the Chen distribution with a common second shape parameter. The maximum likelihood estimates and the asymptotic confidence intervals of the MSSR are developed. The bootstrap confidence interval of the MSSR is also constructed. The Bayesian estimation of the MSSR is obtained under the generalized entropy loss function using the Markov Chain Monte Carlo method. To check the effectiveness of the proposed approach, simulation studies are performed. Finally, a real data set is analyzed. |
| first_indexed | 2024-03-11T03:11:59Z |
| format | Article |
| id | doaj.art-e6941f7db08a41ba9b947a6f27fcb652 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T03:11:59Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-e6941f7db08a41ba9b947a6f27fcb6522023-11-18T07:33:05ZengMDPI AGApplied Sciences2076-34172023-05-011311650910.3390/app13116509Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored DataChaoen Hu0Wenhao Gui1School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, ChinaIn this paper, we study the inference of the multicomponent stress–strength reliability (MSSR) based on the Chen distribution using progressively Type-II censored data. Both the stress and strength variables follow the Chen distribution with a common second shape parameter. The maximum likelihood estimates and the asymptotic confidence intervals of the MSSR are developed. The bootstrap confidence interval of the MSSR is also constructed. The Bayesian estimation of the MSSR is obtained under the generalized entropy loss function using the Markov Chain Monte Carlo method. To check the effectiveness of the proposed approach, simulation studies are performed. Finally, a real data set is analyzed.https://www.mdpi.com/2076-3417/13/11/6509multicomponent stress–strength reliabilityChen distributionprogressively Type-II censored datamaximum likelihood estimationBayesian estimation |
| spellingShingle | Chaoen Hu Wenhao Gui Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data Applied Sciences multicomponent stress–strength reliability Chen distribution progressively Type-II censored data maximum likelihood estimation Bayesian estimation |
| title | Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data |
| title_full | Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data |
| title_fullStr | Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data |
| title_full_unstemmed | Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data |
| title_short | Reliability Inference of Multicomponent Stress–Strength System Based on Chen Distribution Using Progressively Censored Data |
| title_sort | reliability inference of multicomponent stress strength system based on chen distribution using progressively censored data |
| topic | multicomponent stress–strength reliability Chen distribution progressively Type-II censored data maximum likelihood estimation Bayesian estimation |
| url | https://www.mdpi.com/2076-3417/13/11/6509 |
| work_keys_str_mv | AT chaoenhu reliabilityinferenceofmulticomponentstressstrengthsystembasedonchendistributionusingprogressivelycensoreddata AT wenhaogui reliabilityinferenceofmulticomponentstressstrengthsystembasedonchendistributionusingprogressivelycensoreddata |