Robust Hotelling Control Chart with Consistent Minimum Vector Variance

Robust Hotelling Control Chart with Consistent Minimum Vector Variance

Recently, an alternative robust control chart based on a new robust estimator known as minimum vector variance (MVV) estimator, , was introduced in Phase II. was able to detect out-of-control signal and simultaneously control false alarm rate even as the dimension increased. However, the estimated...

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Main Authors: Hazlina Ali, Sharifah Soaad Syed Yahaya, Zurni Omar
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/401350
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spelling doaj-2121bb49e6cb4f1a944d7e7991e52e9c2020-11-24T21:54:04ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/401350401350Robust Hotelling Control Chart with Consistent Minimum Vector VarianceHazlina Ali0Sharifah Soaad Syed Yahaya1Zurni Omar2College of Art and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, MalaysiaCollege of Art and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, MalaysiaCollege of Art and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, MalaysiaRecently, an alternative robust control chart based on a new robust estimator known as minimum vector variance (MVV) estimator, , was introduced in Phase II. was able to detect out-of-control signal and simultaneously control false alarm rate even as the dimension increased. However, the estimated UCLs of are large as compared to the traditional chart. In this study, we improved the MVV estimators in terms of consistency and bias. The result showed great improvement in the control limit values while maintaining its good performance in terms of false alarm and probability of detection.http://dx.doi.org/10.1155/2013/401350
collection DOAJ
language English
format Article
sources DOAJ
author Hazlina Ali
Sharifah Soaad Syed Yahaya
Zurni Omar
spellingShingle Hazlina Ali
Sharifah Soaad Syed Yahaya
Zurni Omar
Robust Hotelling Control Chart with Consistent Minimum Vector Variance
Mathematical Problems in Engineering
author_facet Hazlina Ali
Sharifah Soaad Syed Yahaya
Zurni Omar
author_sort Hazlina Ali
title Robust Hotelling Control Chart with Consistent Minimum Vector Variance
title_short Robust Hotelling Control Chart with Consistent Minimum Vector Variance
title_full Robust Hotelling Control Chart with Consistent Minimum Vector Variance
title_fullStr Robust Hotelling Control Chart with Consistent Minimum Vector Variance
title_full_unstemmed Robust Hotelling Control Chart with Consistent Minimum Vector Variance
title_sort robust hotelling control chart with consistent minimum vector variance
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description Recently, an alternative robust control chart based on a new robust estimator known as minimum vector variance (MVV) estimator, , was introduced in Phase II. was able to detect out-of-control signal and simultaneously control false alarm rate even as the dimension increased. However, the estimated UCLs of are large as compared to the traditional chart. In this study, we improved the MVV estimators in terms of consistency and bias. The result showed great improvement in the control limit values while maintaining its good performance in terms of false alarm and probability of detection.
url http://dx.doi.org/10.1155/2013/401350
work_keys_str_mv AT hazlinaali robusthotellingcontrolchartwithconsistentminimumvectorvariance
AT sharifahsoaadsyedyahaya robusthotellingcontrolchartwithconsistentminimumvectorvariance
AT zurniomar robusthotellingcontrolchartwithconsistentminimumvectorvariance
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