The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach
Control charts are one of the important tools to monitor quality. The coefficient of variation (CV) is a common measure of dispersion in many real-life applications. Recently, CV control charts are proposed to monitor processes which do not have a constant mean and a standard deviation which changes...
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| Format: | Article |
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John Wiley
2020
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| Online Access: | http://eprints.sunway.edu.my/1453/ |
| _version_ | 1848802062780858368 |
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| author | Chew, X. Y. Khaw, K. W. Yeong, W. C. * |
| author_facet | Chew, X. Y. Khaw, K. W. Yeong, W. C. * |
| author_sort | Chew, X. Y. |
| building | SU Institutional Repository |
| collection | Online Access |
| description | Control charts are one of the important tools to monitor quality. The coefficient of variation (CV) is a common measure of dispersion in many real-life applications. Recently, CV control charts are proposed to monitor processes which do not have a constant mean and a standard deviation which changes with the mean. These processes cannot be monitored by standard control charts which monitor the mean and/or standard deviation. This research proposes the monitoring of the multivariate coefficient of variation (MCV) by means of run rules (RR MCV) control charts, which is not available in the existing literature. The design of these charts is obtained using a Markov-chain approach. The proposed charts are simple to implement. The performance of the RR MCV and Shewhart MCV (SH MCV) charts are compared in terms of the average run length (ARL) and the expected average run length (EARL). An example is illustrated based on a real dataset. The findings revealed that the performance of the proposed charts surpasses the SH MCV chart for detecting small and moderate MCV shifts. |
| first_indexed | 2025-11-14T21:17:23Z |
| format | Article |
| id | sunway-1453 |
| institution | Sunway University |
| institution_category | Local University |
| last_indexed | 2025-11-14T21:17:23Z |
| publishDate | 2020 |
| publisher | John Wiley |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | sunway-14532020-10-02T05:49:51Z http://eprints.sunway.edu.my/1453/ The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach Chew, X. Y. Khaw, K. W. Yeong, W. C. * QA Mathematics Control charts are one of the important tools to monitor quality. The coefficient of variation (CV) is a common measure of dispersion in many real-life applications. Recently, CV control charts are proposed to monitor processes which do not have a constant mean and a standard deviation which changes with the mean. These processes cannot be monitored by standard control charts which monitor the mean and/or standard deviation. This research proposes the monitoring of the multivariate coefficient of variation (MCV) by means of run rules (RR MCV) control charts, which is not available in the existing literature. The design of these charts is obtained using a Markov-chain approach. The proposed charts are simple to implement. The performance of the RR MCV and Shewhart MCV (SH MCV) charts are compared in terms of the average run length (ARL) and the expected average run length (EARL). An example is illustrated based on a real dataset. The findings revealed that the performance of the proposed charts surpasses the SH MCV chart for detecting small and moderate MCV shifts. John Wiley 2020 Article PeerReviewed Chew, X. Y. and Khaw, K. W. and Yeong, W. C. * (2020) The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach. Journal of Applied Statistics, 47 (3). pp. 460-480. ISSN 1360-0532 https://www.tandfonline.com/doi/abs/10.1080/02664763.2019.1643296?journalCode=cjas20 https://doi.org/10.1080/02664763.2019.1643296 |
| spellingShingle | QA Mathematics Chew, X. Y. Khaw, K. W. Yeong, W. C. * The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title | The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title_full | The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title_fullStr | The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title_full_unstemmed | The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title_short | The efficiency of run rules schemes for multivariate coefficient of variation: A Markov chain approach |
| title_sort | efficiency of run rules schemes for multivariate coefficient of variation: a markov chain approach |
| topic | QA Mathematics |
| url | http://eprints.sunway.edu.my/1453/ http://eprints.sunway.edu.my/1453/ http://eprints.sunway.edu.my/1453/ |