DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS
The correlation between the parameters of the Gamma degradation process was described by the Jeffreys uninformative prior distribution. And the Bayesian model was used to obtain the full conditional distribution of each parameter. The MCMC method was used to get parameter posterior expectation estim...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2024-02-01
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| Series: | Jixie qiangdu |
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| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.033 |
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| _version_ | 1841534144074481664 |
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| author | YIN ZeKai GUO Yu |
| author_facet | YIN ZeKai GUO Yu |
| author_sort | YIN ZeKai |
| collection | DOAJ |
| description | The correlation between the parameters of the Gamma degradation process was described by the Jeffreys uninformative prior distribution. And the Bayesian model was used to obtain the full conditional distribution of each parameter. The MCMC method was used to get parameter posterior expectation estimates. Finally, reliability was calculated according to the engineering examples and 100 simulations, the obtained reliability assessment was more conservative than the independent case in engineering practice. Thus, the product repair suggestion could be given earlier. And the higher the reliability requirement was .the oreater the deviation between the estimation results of the correlated case and the independent case was, and the life estimation error rate under the reliability of 0. 999 9 was up to 9.26%. |
| format | Article |
| id | doaj-art-10851e241cc04fb48dd2bc9b65ff065e |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2024-02-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-10851e241cc04fb48dd2bc9b65ff065e2025-01-15T02:44:36ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692024-02-014624925455272810DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERSYIN ZeKaiGUO YuThe correlation between the parameters of the Gamma degradation process was described by the Jeffreys uninformative prior distribution. And the Bayesian model was used to obtain the full conditional distribution of each parameter. The MCMC method was used to get parameter posterior expectation estimates. Finally, reliability was calculated according to the engineering examples and 100 simulations, the obtained reliability assessment was more conservative than the independent case in engineering practice. Thus, the product repair suggestion could be given earlier. And the higher the reliability requirement was .the oreater the deviation between the estimation results of the correlated case and the independent case was, and the life estimation error rate under the reliability of 0. 999 9 was up to 9.26%.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.033Gamma processDependent parametersJeffreys uninformative prior distributionMarkov chain Monte Carlo |
| spellingShingle | YIN ZeKai GUO Yu DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS Jixie qiangdu Gamma process Dependent parameters Jeffreys uninformative prior distribution Markov chain Monte Carlo |
| title | DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS |
| title_full | DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS |
| title_fullStr | DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS |
| title_full_unstemmed | DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS |
| title_short | DEPENDENT PARAMETERS DEGRADATION RELIABILITY ASSESSMENT BASED ON JEFFREYS NONINFORMATIVE PRIOR PARAMETERS |
| title_sort | dependent parameters degradation reliability assessment based on jeffreys noninformative prior parameters |
| topic | Gamma process Dependent parameters Jeffreys uninformative prior distribution Markov chain Monte Carlo |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2024.01.033 |
| work_keys_str_mv | AT yinzekai dependentparametersdegradationreliabilityassessmentbasedonjeffreysnoninformativepriorparameters AT guoyu dependentparametersdegradationreliabilityassessmentbasedonjeffreysnoninformativepriorparameters |