Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases
When conducting engineering life tests, it is common to collect necessary data from multiple production lines simultaneously. However, traditional methods are inadequate for analyzing this type of data, which is crucial for assessing reliability performance. In this study, we employ a newly proposed...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682401490X |
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| author | Maysaa Elmahi Abd Elwahab Ahmed Elshahhat Ohud A. Alqasem Mazen Nassar |
| author_facet | Maysaa Elmahi Abd Elwahab Ahmed Elshahhat Ohud A. Alqasem Mazen Nassar |
| author_sort | Maysaa Elmahi Abd Elwahab |
| collection | DOAJ |
| description | When conducting engineering life tests, it is common to collect necessary data from multiple production lines simultaneously. However, traditional methods are inadequate for analyzing this type of data, which is crucial for assessing reliability performance. In this study, we employ a newly proposed methodology called a joint Type-II hybrid censoring plan for gathering data from two production lines. We apply this plan to analyze three real-world engineering data sets when the parent distribution of the populations of interest is the Nadarajah–Haghighi distribution with varying shape and scale parameters. We consider two estimation approaches, maximum likelihood and Bayesian methods, to obtain point and interval estimates of the model parameters. The Bayesian estimates are obtained using the squared error loss function and the Markov Chain Monte Carlo procedure. To assess the performance of these different estimation methods, we conduct a simulation study that incorporates various testing plans. Finally, three engineering applications are considered to show the applicability of the offered methodologies. |
| format | Article |
| id | doaj-art-98287fb4323d491b80f5e5109cb2c107 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-98287fb4323d491b80f5e5109cb2c1072025-02-07T04:47:05ZengElsevierAlexandria Engineering Journal1110-01682025-02-01113347365Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering casesMaysaa Elmahi Abd Elwahab0Ahmed Elshahhat1Ohud A. Alqasem2Mazen Nassar3Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaFaculty of Technology and Development, Zagazig University, Zagazig 44519, Egypt; Corresponding author.Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaWhen conducting engineering life tests, it is common to collect necessary data from multiple production lines simultaneously. However, traditional methods are inadequate for analyzing this type of data, which is crucial for assessing reliability performance. In this study, we employ a newly proposed methodology called a joint Type-II hybrid censoring plan for gathering data from two production lines. We apply this plan to analyze three real-world engineering data sets when the parent distribution of the populations of interest is the Nadarajah–Haghighi distribution with varying shape and scale parameters. We consider two estimation approaches, maximum likelihood and Bayesian methods, to obtain point and interval estimates of the model parameters. The Bayesian estimates are obtained using the squared error loss function and the Markov Chain Monte Carlo procedure. To assess the performance of these different estimation methods, we conduct a simulation study that incorporates various testing plans. Finally, three engineering applications are considered to show the applicability of the offered methodologies.http://www.sciencedirect.com/science/article/pii/S111001682401490XNadarajah–Haghighi modelJoint Type-II hybrid censoringLikelihoodBayesianMarkov processEngineering data analysis |
| spellingShingle | Maysaa Elmahi Abd Elwahab Ahmed Elshahhat Ohud A. Alqasem Mazen Nassar Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases Alexandria Engineering Journal Nadarajah–Haghighi model Joint Type-II hybrid censoring Likelihood Bayesian Markov process Engineering data analysis |
| title | Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases |
| title_full | Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases |
| title_fullStr | Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases |
| title_full_unstemmed | Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases |
| title_short | Reliability analysis of new jointly Type-II hybrid NH censored data and its modeling for three engineering cases |
| title_sort | reliability analysis of new jointly type ii hybrid nh censored data and its modeling for three engineering cases |
| topic | Nadarajah–Haghighi model Joint Type-II hybrid censoring Likelihood Bayesian Markov process Engineering data analysis |
| url | http://www.sciencedirect.com/science/article/pii/S111001682401490X |
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