Statistical Inference of a Two-Component Series System With Correlated Log-Normal Lifetime Distribution Under Multiple Type-I Censoring
In a series system, the system fails if any of the components fails. When the system functions, there may exist correlation among components because they are connected within the same system. In this paper, we consider the reliability analysis of multiple Type-I censored life tests of series systems...
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Published in | IEEE transactions on reliability Vol. 64; no. 1; pp. 376 - 385 |
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Format | Journal Article |
Language | English |
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01.03.2015
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Abstract | In a series system, the system fails if any of the components fails. When the system functions, there may exist correlation among components because they are connected within the same system. In this paper, we consider the reliability analysis of multiple Type-I censored life tests of series systems composed of two components with bivariate log-normal lifetime distributions. The major interest is the inference on the mean lifetimes, and the reliability functions of the system and its components. Given observations of the minimum lifetime of the components of each failed system, location of the MLEs highly relies on the initial values in executing the computation numerically. Alternatively, we apply the Bayesian approach after a re-parametrization of the parameters of interest. A simulation study is conducted which shows that the Bayesian approach provides considerably accurate inference. The proposed approach is successfully applied to a real data set. |
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AbstractList | In a series system, the system fails if any of the components fails. When the system functions, there may exist correlation among components because they are connected within the same system. In this paper, we consider the reliability analysis of multiple Type-I censored life tests of series systems composed of two components with bivariate log-normal lifetime distributions. The major interest is the inference on the mean lifetimes, and the reliability functions of the system and its components. Given observations of the minimum lifetime of the components of each failed system, location of the MLEs highly relies on the initial values in executing the computation numerically. Alternatively, we apply the Bayesian approach after a re-parametrization of the parameters of interest. A simulation study is conducted which shows that the Bayesian approach provides considerably accurate inference. The proposed approach is successfully applied to a real data set. |
Author | Tsai-Hung Fan Tsung-Ming Hsu |
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CitedBy_id | crossref_primary_10_1002_qre_2116 crossref_primary_10_1016_j_ress_2021_108136 crossref_primary_10_1098_rsta_2022_0384 crossref_primary_10_1080_21642583_2018_1474503 crossref_primary_10_3390_electronics12041026 crossref_primary_10_1007_s00180_018_0804_0 crossref_primary_10_1080_08982112_2024_2321839 crossref_primary_10_1109_TR_2019_2907518 crossref_primary_10_1109_TR_2016_2515589 crossref_primary_10_1080_16843703_2023_2193771 crossref_primary_10_1016_j_ress_2022_108460 crossref_primary_10_1109_TR_2019_2948173 |
Cites_doi | 10.1109/TR.1984.5221828 10.1201/9781420035902 10.1002/asmb.935 10.1080/00401706.1974.10489147 10.1002/9780470316795 10.1111/j.2517-6161.1959.tb00349.x 10.1007/978-1-4757-4286-2 10.1007/978-1-4612-1276-8 10.1073/pnas.72.1.20 10.1109/24.9880 10.1109/RAMS.2005.1408354 10.1109/TR.2012.2209259 10.1007/BF00985770 10.1093/biomet/82.1.127 10.1016/0047-259X(78)90064-7 10.1109/TR.2005.846360 10.1063/1.1699114 10.1093/biomet/57.1.97 10.2307/2528828 10.1080/00224065.1970.11980427 |
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References | ref13 berger (ref20) 1985 ref12 nelson (ref5) 1990 nelson (ref24) 1970; 2 chen (ref23) 2000 crowder (ref14) 1991; 18 ref11 ref22 ref10 ref21 ref2 ref17 ref16 balakrishnan (ref18) 2009 ref8 cox (ref1) 1959; 21 ref7 fan (ref9) 2012; 61 ref4 ref3 meeker (ref19) 1998 ref6 wang (ref15) 2000; 62 |
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Snippet | In a series system, the system fails if any of the components fails. When the system functions, there may exist correlation among components because they are... |
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SubjectTerms | Bayes methods Bivariate log-normal distribution Correlation life test Maximum likelihood estimation multiple Type-I censoring Numerical models Reliability series system |
Title | Statistical Inference of a Two-Component Series System With Correlated Log-Normal Lifetime Distribution Under Multiple Type-I Censoring |
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