Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring
This paper presents a comparative study of classical and Bayesian risks in the design of optimal failure-censored sampling plans for lognormal lifetime models. The analysis focuses on how variations in prior distributions, specifically the beta distribution for defect rates, influence the producer’s...
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MDPI AG
2025-04-01
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| author | Huasen Zhou Wenhao Gui |
| author_facet | Huasen Zhou Wenhao Gui |
| author_sort | Huasen Zhou |
| collection | DOAJ |
| description | This paper presents a comparative study of classical and Bayesian risks in the design of optimal failure-censored sampling plans for lognormal lifetime models. The analysis focuses on how variations in prior distributions, specifically the beta distribution for defect rates, influence the producer’s and consumer’s risks, along with the optimal sample size. We explore the sensitivity of the sampling plan’s risks to changes in the prior mean and variance, offering insight into the impacts of uncertainty in prior knowledge on sampling efficiency. Classical and Bayesian approaches are evaluated, highlighting the trade-offs between minimizing sample size and controlling risks for both the producer and the consumer. The results demonstrate that Bayesian methods generally provide more robust designs under uncertain prior information, while classical methods exhibit greater sensitivity to parameter changes. A computational procedure for determining the optimal sampling plans is provided, and the outcomes are validated through simulations, showcasing the practical implications for quality control in reliability testing and industrial applications. |
| format | Article |
| id | doaj-art-8d8d1c67853b4c88b5ddb147f9a9d65d |
| institution | Kabale University |
| issn | 1099-4300 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj-art-8d8d1c67853b4c88b5ddb147f9a9d65d2025-08-20T03:47:52ZengMDPI AGEntropy1099-43002025-04-0127547710.3390/e27050477Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II CensoringHuasen Zhou0Wenhao Gui1School of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, ChinaSchool of Mathematics and Statistics, Beijing Jiaotong University, Beijing 100044, ChinaThis paper presents a comparative study of classical and Bayesian risks in the design of optimal failure-censored sampling plans for lognormal lifetime models. The analysis focuses on how variations in prior distributions, specifically the beta distribution for defect rates, influence the producer’s and consumer’s risks, along with the optimal sample size. We explore the sensitivity of the sampling plan’s risks to changes in the prior mean and variance, offering insight into the impacts of uncertainty in prior knowledge on sampling efficiency. Classical and Bayesian approaches are evaluated, highlighting the trade-offs between minimizing sample size and controlling risks for both the producer and the consumer. The results demonstrate that Bayesian methods generally provide more robust designs under uncertain prior information, while classical methods exhibit greater sensitivity to parameter changes. A computational procedure for determining the optimal sampling plans is provided, and the outcomes are validated through simulations, showcasing the practical implications for quality control in reliability testing and industrial applications.https://www.mdpi.com/1099-4300/27/5/477reliability testingBayesian samplingfailure-censored samplingType II censoringlognormal distribution |
| spellingShingle | Huasen Zhou Wenhao Gui Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring Entropy reliability testing Bayesian sampling failure-censored sampling Type II censoring lognormal distribution |
| title | Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring |
| title_full | Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring |
| title_fullStr | Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring |
| title_full_unstemmed | Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring |
| title_short | Classical Versus Bayesian Error-Controlled Sampling Under Lognormal Distributions with Type II Censoring |
| title_sort | classical versus bayesian error controlled sampling under lognormal distributions with type ii censoring |
| topic | reliability testing Bayesian sampling failure-censored sampling Type II censoring lognormal distribution |
| url | https://www.mdpi.com/1099-4300/27/5/477 |
| work_keys_str_mv | AT huasenzhou classicalversusbayesianerrorcontrolledsamplingunderlognormaldistributionswithtypeiicensoring AT wenhaogui classicalversusbayesianerrorcontrolledsamplingunderlognormaldistributionswithtypeiicensoring |