Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data
Consider a k/n(G) system, in which the system components are composed of multiple dependent failure mechanisms, and the dependence between the mechanisms is connected by the Gumbel-Hougarrd (GH) Copula. This paper presents a progressively hybrid censored test based on the k/n(G) system. Based on the...
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Elsevier
2025-01-01
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025001641 |
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| author | Yanjie Shi Zaizai Yan Xiuyun Peng |
| author_facet | Yanjie Shi Zaizai Yan Xiuyun Peng |
| author_sort | Yanjie Shi |
| collection | DOAJ |
| description | Consider a k/n(G) system, in which the system components are composed of multiple dependent failure mechanisms, and the dependence between the mechanisms is connected by the Gumbel-Hougarrd (GH) Copula. This paper presents a progressively hybrid censored test based on the k/n(G) system. Based on the censored test, the IFM(Marginal inference) method is used to estimate the model parameters and system reliability. Meanwhile, the MH (Metropolis-Hastings) sampling mixed with the Gibbs sampling method is proposed to realize the Bayes estimation of the model parameters and system reliability. Also, under the non-informative prior conditions, the conditional posterior density of the shape parameters of the marginal Weibull distribution is proved to be log-concave. The Monte Carlo simulation results showed that the proposed Bayes method is better than the traditional IFM method. Finally, the model and method proposed in this paper are applied to real data. |
| format | Article |
| id | doaj-art-6c3cf45eba5848d6913d290f2bc779b6 |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-6c3cf45eba5848d6913d290f2bc779b62025-02-02T05:28:11ZengElsevierHeliyon2405-84402025-01-01112e41784Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored dataYanjie Shi0Zaizai Yan1Xiuyun Peng2Science College, Inner Mongolia University of Technology, Hohhot 010051, PR ChinaScience College, Inner Mongolia University of Technology, Hohhot 010051, PR ChinaCorresponding author.; Science College, Inner Mongolia University of Technology, Hohhot 010051, PR ChinaConsider a k/n(G) system, in which the system components are composed of multiple dependent failure mechanisms, and the dependence between the mechanisms is connected by the Gumbel-Hougarrd (GH) Copula. This paper presents a progressively hybrid censored test based on the k/n(G) system. Based on the censored test, the IFM(Marginal inference) method is used to estimate the model parameters and system reliability. Meanwhile, the MH (Metropolis-Hastings) sampling mixed with the Gibbs sampling method is proposed to realize the Bayes estimation of the model parameters and system reliability. Also, under the non-informative prior conditions, the conditional posterior density of the shape parameters of the marginal Weibull distribution is proved to be log-concave. The Monte Carlo simulation results showed that the proposed Bayes method is better than the traditional IFM method. Finally, the model and method proposed in this paper are applied to real data.http://www.sciencedirect.com/science/article/pii/S2405844025001641Competing failure modelk/n(G) systemGumbel-Hougaard CopulaProgressively hybrid censoredBayes estimation |
| spellingShingle | Yanjie Shi Zaizai Yan Xiuyun Peng Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data Heliyon Competing failure model k/n(G) system Gumbel-Hougaard Copula Progressively hybrid censored Bayes estimation |
| title | Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data |
| title_full | Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data |
| title_fullStr | Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data |
| title_full_unstemmed | Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data |
| title_short | Statistical analysis of the k/n(G) system with dependent competing failure components influenced by Gumbel-Hougarrd Copula and progressively hybrid censored data |
| title_sort | statistical analysis of the k n g system with dependent competing failure components influenced by gumbel hougarrd copula and progressively hybrid censored data |
| topic | Competing failure model k/n(G) system Gumbel-Hougaard Copula Progressively hybrid censored Bayes estimation |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025001641 |
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