A New Generalized Range Control Chart for the Weibull Distribution
In this study, a generalized range control chart is designed for the Weibull distribution using generally weighted moving average statistics. The proposed chart is based on minimum generally weighted moving average statistic and maximum generally weighted moving average statistics. We utilize the in...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/9453589 |
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| _version_ | 1850219246982791168 |
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| author | Osama H. Arif Muhammad Aslam |
| author_facet | Osama H. Arif Muhammad Aslam |
| author_sort | Osama H. Arif |
| collection | DOAJ |
| description | In this study, a generalized range control chart is designed for the Weibull distribution using generally weighted moving average statistics. The proposed chart is based on minimum generally weighted moving average statistic and maximum generally weighted moving average statistics. We utilize the inverse erf function to transform the Weibull data to normal data. The necessary measures are given to assess the performance of the proposed control chart. The comparison study shows that the proposed control chart outperforms the existing control charts based on exponentially weighted moving average statistic in terms of the average run length. A real example is given for applying the proposed chart in the industry. |
| format | Article |
| id | doaj-art-7451e78ec49f4f378b32ca76b36aef69 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7451e78ec49f4f378b32ca76b36aef692025-08-20T02:07:27ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/94535899453589A New Generalized Range Control Chart for the Weibull DistributionOsama H. Arif0Muhammad Aslam1Department of Mathematics, Faculty of Science, Jouf University, PO Box 2014, Sakaka 42421, Saudi ArabiaDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaIn this study, a generalized range control chart is designed for the Weibull distribution using generally weighted moving average statistics. The proposed chart is based on minimum generally weighted moving average statistic and maximum generally weighted moving average statistics. We utilize the inverse erf function to transform the Weibull data to normal data. The necessary measures are given to assess the performance of the proposed control chart. The comparison study shows that the proposed control chart outperforms the existing control charts based on exponentially weighted moving average statistic in terms of the average run length. A real example is given for applying the proposed chart in the industry.http://dx.doi.org/10.1155/2018/9453589 |
| spellingShingle | Osama H. Arif Muhammad Aslam A New Generalized Range Control Chart for the Weibull Distribution Complexity |
| title | A New Generalized Range Control Chart for the Weibull Distribution |
| title_full | A New Generalized Range Control Chart for the Weibull Distribution |
| title_fullStr | A New Generalized Range Control Chart for the Weibull Distribution |
| title_full_unstemmed | A New Generalized Range Control Chart for the Weibull Distribution |
| title_short | A New Generalized Range Control Chart for the Weibull Distribution |
| title_sort | new generalized range control chart for the weibull distribution |
| url | http://dx.doi.org/10.1155/2018/9453589 |
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