Bayesian Estimation of Generalized Process Capability Indices
Process capability indices (PCIs) aim to quantify the capability of a process of quality characteristic (X) to meet some specifications that are related to a measurable characteristic of its produced items. One such quality characteristic is life time of items. The specifications are determined thro...
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| Format: | Article |
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Wiley
2012-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2012/819730 |
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| author | Sudhansu S. Maiti Mahendra Saha |
| author_facet | Sudhansu S. Maiti Mahendra Saha |
| author_sort | Sudhansu S. Maiti |
| collection | DOAJ |
| description | Process capability indices (PCIs) aim to quantify the capability of a process of quality characteristic (X) to meet some specifications that are related to a measurable characteristic of its produced items. One such quality characteristic is life time of items. The specifications are determined through the lower specification limit (L), the upper specification limit (U), and the target value (T). Maiti et al. (2010) have proposed a generalized process capability index that is the ratio of proportion of specification conformance to proportion of desired conformance. Bayesian estimation of the index has been considered under squared error loss function. Normal, exponential (nonnormal), and Poisson (discrete) processes have been taken into account. Bayes estimates of the index have been compared with the frequentist counterparts. Data sets have been analyzed. |
| format | Article |
| id | doaj-art-25bafb392c0b4ea495c5dd6617d8da1b |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-25bafb392c0b4ea495c5dd6617d8da1b2025-02-03T06:07:29ZengWileyJournal of Probability and Statistics1687-952X1687-95382012-01-01201210.1155/2012/819730819730Bayesian Estimation of Generalized Process Capability IndicesSudhansu S. Maiti0Mahendra Saha1Department of Statistics, Visva-Bharati University, Santiniketan 731 235, IndiaDepartment of Statistics, Visva-Bharati University, Santiniketan 731 235, IndiaProcess capability indices (PCIs) aim to quantify the capability of a process of quality characteristic (X) to meet some specifications that are related to a measurable characteristic of its produced items. One such quality characteristic is life time of items. The specifications are determined through the lower specification limit (L), the upper specification limit (U), and the target value (T). Maiti et al. (2010) have proposed a generalized process capability index that is the ratio of proportion of specification conformance to proportion of desired conformance. Bayesian estimation of the index has been considered under squared error loss function. Normal, exponential (nonnormal), and Poisson (discrete) processes have been taken into account. Bayes estimates of the index have been compared with the frequentist counterparts. Data sets have been analyzed.http://dx.doi.org/10.1155/2012/819730 |
| spellingShingle | Sudhansu S. Maiti Mahendra Saha Bayesian Estimation of Generalized Process Capability Indices Journal of Probability and Statistics |
| title | Bayesian Estimation of Generalized Process Capability Indices |
| title_full | Bayesian Estimation of Generalized Process Capability Indices |
| title_fullStr | Bayesian Estimation of Generalized Process Capability Indices |
| title_full_unstemmed | Bayesian Estimation of Generalized Process Capability Indices |
| title_short | Bayesian Estimation of Generalized Process Capability Indices |
| title_sort | bayesian estimation of generalized process capability indices |
| url | http://dx.doi.org/10.1155/2012/819730 |
| work_keys_str_mv | AT sudhansusmaiti bayesianestimationofgeneralizedprocesscapabilityindices AT mahendrasaha bayesianestimationofgeneralizedprocesscapabilityindices |