Inference for four-unit hybrid system with masked data under partially acceleration life test
In this paper, we investigate parameter inference for four-unit hybrid systems based on Type-II progressively hybrid censored and masked data from constant-stress partially accelerated life test. It is assumed that the unit lifetime in systems has exponential hazard rate. The maximum likelihood esti...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-01-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/21642583.2018.1474503 |
| _version_ | 1818362318289895424 |
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| author | Xiaolin Shi Yimin Shi Qiankun Song |
| author_facet | Xiaolin Shi Yimin Shi Qiankun Song |
| author_sort | Xiaolin Shi |
| collection | DOAJ |
| description | In this paper, we investigate parameter inference for four-unit hybrid systems based on Type-II progressively hybrid censored and masked data from constant-stress partially accelerated life test. It is assumed that the unit lifetime in systems has exponential hazard rate. The maximum likelihood estimations (MLEs) for unknown parameters and acceleration factor are obtained. The observed Fisher information matrix, as well as the asymptotic variance-covariance matrix of the MLEs are derived. Approximate confidence intervals (CIs) and studentized-t bootstrap CIs for the parameters are presented based on normal approximation to the asymptotic distribution of MLEs and bootstrap method, respectively. A Monte Carlo simulation study is carried out to investigate the performance of the MLEs and to compare the effects of two different CIs in terms of interval length and coverage percentage for the parameters. |
| first_indexed | 2024-12-13T21:30:40Z |
| format | Article |
| id | doaj.art-fe0d3cd1b734405fbdeda41041201503 |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-12-13T21:30:40Z |
| publishDate | 2018-01-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-fe0d3cd1b734405fbdeda410412015032022-12-21T23:30:50ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832018-01-016119520610.1080/21642583.2018.14745031474503Inference for four-unit hybrid system with masked data under partially acceleration life testXiaolin Shi0Yimin Shi1Qiankun Song2Xi’an University of Posts and TelecommunicationsNorthwestern Polytechnical UniversityChongqing Jiaotong UniversityIn this paper, we investigate parameter inference for four-unit hybrid systems based on Type-II progressively hybrid censored and masked data from constant-stress partially accelerated life test. It is assumed that the unit lifetime in systems has exponential hazard rate. The maximum likelihood estimations (MLEs) for unknown parameters and acceleration factor are obtained. The observed Fisher information matrix, as well as the asymptotic variance-covariance matrix of the MLEs are derived. Approximate confidence intervals (CIs) and studentized-t bootstrap CIs for the parameters are presented based on normal approximation to the asymptotic distribution of MLEs and bootstrap method, respectively. A Monte Carlo simulation study is carried out to investigate the performance of the MLEs and to compare the effects of two different CIs in terms of interval length and coverage percentage for the parameters.http://dx.doi.org/10.1080/21642583.2018.1474503Hybrid systemsparameter estimationconstant-stress partially accelerated life testmasked dataprogressive hybrid censored |
| spellingShingle | Xiaolin Shi Yimin Shi Qiankun Song Inference for four-unit hybrid system with masked data under partially acceleration life test Systems Science & Control Engineering Hybrid systems parameter estimation constant-stress partially accelerated life test masked data progressive hybrid censored |
| title | Inference for four-unit hybrid system with masked data under partially acceleration life test |
| title_full | Inference for four-unit hybrid system with masked data under partially acceleration life test |
| title_fullStr | Inference for four-unit hybrid system with masked data under partially acceleration life test |
| title_full_unstemmed | Inference for four-unit hybrid system with masked data under partially acceleration life test |
| title_short | Inference for four-unit hybrid system with masked data under partially acceleration life test |
| title_sort | inference for four unit hybrid system with masked data under partially acceleration life test |
| topic | Hybrid systems parameter estimation constant-stress partially accelerated life test masked data progressive hybrid censored |
| url | http://dx.doi.org/10.1080/21642583.2018.1474503 |
| work_keys_str_mv | AT xiaolinshi inferenceforfourunithybridsystemwithmaskeddataunderpartiallyaccelerationlifetest AT yiminshi inferenceforfourunithybridsystemwithmaskeddataunderpartiallyaccelerationlifetest AT qiankunsong inferenceforfourunithybridsystemwithmaskeddataunderpartiallyaccelerationlifetest |