Estimation of the conformance fraction in a presence of misclassification errors: a
This paper discusses the problem of the estimation of the proportion p when the inspection system is imperfect (subject to diagnosis errors) and the sampled items are classified repeatedly m times. One assumes that no relevant information of the prior distributions of these errors is available and c...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Associação Brasileira de Engenharia de Produção (ABEPRO)
2010-08-01
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| Series: | Brazilian Journal of Operations & Production Management |
| Subjects: | |
| Online Access: | https://bjopm.emnuvens.com.br/bjopm/article/view/68 |
| _version_ | 1828771952825729024 |
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| author | Roberto da Costa Quinino Magda Carvalho Pires Emilio Suyama Linda Lee Ho |
| author_facet | Roberto da Costa Quinino Magda Carvalho Pires Emilio Suyama Linda Lee Ho |
| author_sort | Roberto da Costa Quinino |
| collection | DOAJ |
| description | This paper discusses the problem of the estimation of the proportion p when the inspection system is imperfect (subject to diagnosis errors) and the sampled items are classified repeatedly m times. One assumes that no relevant information of the prior distributions of these errors is available and consequently a posterior distribution for the proportion p with high variability is generated due to non-informative prior distributions for those errors. In this paper, the authors suggest to split randomly the sample into two subsamples. Parameters of prior distributions are estimated by the first sample and a Bayesian inferential procedure is proceeded by the second sample. Numerical results indicate that such procedure yields better performance (lower variance for the posteriori distribution) rather than a single sample of size n= n1+n2 and non-informative prior distributions for the classification errors. |
| first_indexed | 2024-12-11T14:34:53Z |
| format | Article |
| id | doaj.art-6ef7274a836747539150cf44297a1026 |
| institution | Directory Open Access Journal |
| issn | 2237-8960 |
| language | English |
| last_indexed | 2024-12-11T14:34:53Z |
| publishDate | 2010-08-01 |
| publisher | Associação Brasileira de Engenharia de Produção (ABEPRO) |
| record_format | Article |
| series | Brazilian Journal of Operations & Production Management |
| spelling | doaj.art-6ef7274a836747539150cf44297a10262022-12-22T01:02:13ZengAssociação Brasileira de Engenharia de Produção (ABEPRO)Brazilian Journal of Operations & Production Management2237-89602010-08-0171Estimation of the conformance fraction in a presence of misclassification errors: aRoberto da Costa Quinino0Magda Carvalho Pires1Emilio Suyama2Linda Lee Ho3UFMGUFMGUFMGUSPThis paper discusses the problem of the estimation of the proportion p when the inspection system is imperfect (subject to diagnosis errors) and the sampled items are classified repeatedly m times. One assumes that no relevant information of the prior distributions of these errors is available and consequently a posterior distribution for the proportion p with high variability is generated due to non-informative prior distributions for those errors. In this paper, the authors suggest to split randomly the sample into two subsamples. Parameters of prior distributions are estimated by the first sample and a Bayesian inferential procedure is proceeded by the second sample. Numerical results indicate that such procedure yields better performance (lower variance for the posteriori distribution) rather than a single sample of size n= n1+n2 and non-informative prior distributions for the classification errors.https://bjopm.emnuvens.com.br/bjopm/article/view/68Quality controlProportion estimationBayesian analysisBinomial distributionclassification errorsrepeated classifications |
| spellingShingle | Roberto da Costa Quinino Magda Carvalho Pires Emilio Suyama Linda Lee Ho Estimation of the conformance fraction in a presence of misclassification errors: a Brazilian Journal of Operations & Production Management Quality control Proportion estimation Bayesian analysis Binomial distribution classification errors repeated classifications |
| title | Estimation of the conformance fraction in a presence of misclassification errors: a |
| title_full | Estimation of the conformance fraction in a presence of misclassification errors: a |
| title_fullStr | Estimation of the conformance fraction in a presence of misclassification errors: a |
| title_full_unstemmed | Estimation of the conformance fraction in a presence of misclassification errors: a |
| title_short | Estimation of the conformance fraction in a presence of misclassification errors: a |
| title_sort | estimation of the conformance fraction in a presence of misclassification errors a |
| topic | Quality control Proportion estimation Bayesian analysis Binomial distribution classification errors repeated classifications |
| url | https://bjopm.emnuvens.com.br/bjopm/article/view/68 |
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