Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test
A control chart is an important tool in statistical process monitoring that is useful to monitor and improve production process quality. In this article, an attribute control chart using repetitive sampling under a truncated life test is proposed for monitoring the mean life of the product where the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2022/8763091 |
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| _version_ | 1832565806714585088 |
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| author | Olatunde Adebayo Adeoti Gadde Srinivasa Rao |
| author_facet | Olatunde Adebayo Adeoti Gadde Srinivasa Rao |
| author_sort | Olatunde Adebayo Adeoti |
| collection | DOAJ |
| description | A control chart is an important tool in statistical process monitoring that is useful to monitor and improve production process quality. In this article, an attribute control chart using repetitive sampling under a truncated life test is proposed for monitoring the mean life of the product where the lifetime follows the Rayleigh distribution. The repetitive sampling parameters and the control limit coefficients of the chart are determined so that the in-control average run length (ARL) is very close to the target ARL. Tables of ARL values for various shift sizes in the scale parameter were presented, and the performance of the proposed chart is compared with the existing attribute control charts using the out-of-control ARL. The proposed control chart is shown to outperform the existing control charts in terms of ARL. An illustrative example is given to demonstrate the application of the proposed chart. |
| format | Article |
| id | doaj-art-a976ef3f698243b689c5364d42fbbee4 |
| institution | Kabale University |
| issn | 1687-9538 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-a976ef3f698243b689c5364d42fbbee42025-02-03T01:06:42ZengWileyJournal of Probability and Statistics1687-95382022-01-01202210.1155/2022/8763091Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life TestOlatunde Adebayo Adeoti0Gadde Srinivasa Rao1Department of StatisticsDepartment of Mathematics and StatisticsA control chart is an important tool in statistical process monitoring that is useful to monitor and improve production process quality. In this article, an attribute control chart using repetitive sampling under a truncated life test is proposed for monitoring the mean life of the product where the lifetime follows the Rayleigh distribution. The repetitive sampling parameters and the control limit coefficients of the chart are determined so that the in-control average run length (ARL) is very close to the target ARL. Tables of ARL values for various shift sizes in the scale parameter were presented, and the performance of the proposed chart is compared with the existing attribute control charts using the out-of-control ARL. The proposed control chart is shown to outperform the existing control charts in terms of ARL. An illustrative example is given to demonstrate the application of the proposed chart.http://dx.doi.org/10.1155/2022/8763091 |
| spellingShingle | Olatunde Adebayo Adeoti Gadde Srinivasa Rao Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test Journal of Probability and Statistics |
| title | Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test |
| title_full | Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test |
| title_fullStr | Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test |
| title_full_unstemmed | Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test |
| title_short | Attribute Control Chart for Rayleigh Distribution Using Repetitive Sampling under Truncated Life Test |
| title_sort | attribute control chart for rayleigh distribution using repetitive sampling under truncated life test |
| url | http://dx.doi.org/10.1155/2022/8763091 |
| work_keys_str_mv | AT olatundeadebayoadeoti attributecontrolchartforrayleighdistributionusingrepetitivesamplingundertruncatedlifetest AT gaddesrinivasarao attributecontrolchartforrayleighdistributionusingrepetitivesamplingundertruncatedlifetest |