An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV)
The performance of traditional Hotelling T2 control chart using classical estimators in Phase I suffers from masking and swamping effect.To alleviate the problem, robust location and scale estimators are recommended.This paper proposed a robust Hotelling T2 control chart for individual observations...
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| Format: | Article |
| Language: | English |
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Canadian Center of Science and Education
2011
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| Online Access: | https://repo.uum.edu.my/id/eprint/12536/1/10514-34928-1-PB.pdf |
| _version_ | 1803626437548179456 |
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| author | Syed Yahaya, Sharipah Soaad Ali, Hazlina Omar, Zurni |
| author_facet | Syed Yahaya, Sharipah Soaad Ali, Hazlina Omar, Zurni |
| author_sort | Syed Yahaya, Sharipah Soaad |
| collection | UUM |
| description | The performance of traditional Hotelling T2 control chart using classical estimators in Phase I suffers from masking and swamping effect.To alleviate the problem, robust location and scale estimators are recommended.This paper proposed a robust Hotelling T2 control chart for individual observations based on minimum vector variance (MVV) estimators as an alternative to the traditional multivariate T2 control chart for Phase II data.MVV is a new robust estimator which possesses the good properties as in minimum covariance determinant (MCD) with better computational efficiency.Through simulation study, we evaluate the performance of the proposed chart in terms of probability of detection and false alarm rates and compared with the performance of the traditional charts and the chart issued from MCD estimators.The results showed that MVV control chart has competitive performance relative to MCD and traditional control charts even under certain location parameter shifts in Phase I data. |
| first_indexed | 2024-07-04T05:50:09Z |
| format | Article |
| id | uum-12536 |
| institution | Universiti Utara Malaysia |
| language | English |
| last_indexed | 2024-07-04T05:50:09Z |
| publishDate | 2011 |
| publisher | Canadian Center of Science and Education |
| record_format | dspace |
| spelling | uum-125362016-12-04T07:55:04Z https://repo.uum.edu.my/id/eprint/12536/ An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) Syed Yahaya, Sharipah Soaad Ali, Hazlina Omar, Zurni QA Mathematics The performance of traditional Hotelling T2 control chart using classical estimators in Phase I suffers from masking and swamping effect.To alleviate the problem, robust location and scale estimators are recommended.This paper proposed a robust Hotelling T2 control chart for individual observations based on minimum vector variance (MVV) estimators as an alternative to the traditional multivariate T2 control chart for Phase II data.MVV is a new robust estimator which possesses the good properties as in minimum covariance determinant (MCD) with better computational efficiency.Through simulation study, we evaluate the performance of the proposed chart in terms of probability of detection and false alarm rates and compared with the performance of the traditional charts and the chart issued from MCD estimators.The results showed that MVV control chart has competitive performance relative to MCD and traditional control charts even under certain location parameter shifts in Phase I data. Canadian Center of Science and Education 2011 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/12536/1/10514-34928-1-PB.pdf Syed Yahaya, Sharipah Soaad and Ali, Hazlina and Omar, Zurni (2011) An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV). Modern Applied Science, 5 (4). pp. 132-151. ISSN 1913-1844 http://dx.doi.org/10.5539/mas.v5n4p132 doi:10.5539/mas.v5n4p132 doi:10.5539/mas.v5n4p132 |
| spellingShingle | QA Mathematics Syed Yahaya, Sharipah Soaad Ali, Hazlina Omar, Zurni An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title | An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title_full | An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title_fullStr | An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title_full_unstemmed | An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title_short | An alternative hotelling T^2 control chart based on Minimum Vector Variance (MVV) |
| title_sort | alternative hotelling t 2 control chart based on minimum vector variance mvv |
| topic | QA Mathematics |
| url | https://repo.uum.edu.my/id/eprint/12536/1/10514-34928-1-PB.pdf |
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