On robust mahalanobis distance issued from minimum vector variance

Detecting outliers in high dimension datasets remains a challenging task.Under this circumstance, robust location and scale estimators are usually proposed in place of the classical estimators. Recently, a new robust estimator for multivariate data known as minimum variance vector (MVV) was introduc...

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Main Authors: Ali, Hazlina, Syed Yahaya, Sharipah Soaad
Format: Article
Language:English
Published: Pushpa Publishing House 2013
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/21569/1/FJMS%2074%202%202013%20249%20268.pdf
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author Ali, Hazlina
Syed Yahaya, Sharipah Soaad
author_facet Ali, Hazlina
Syed Yahaya, Sharipah Soaad
author_sort Ali, Hazlina
collection UUM
description Detecting outliers in high dimension datasets remains a challenging task.Under this circumstance, robust location and scale estimators are usually proposed in place of the classical estimators. Recently, a new robust estimator for multivariate data known as minimum variance vector (MVV) was introduced. Besides inheriting the nice properties of the famous MCD estimator, MVV is computationally more efficient. This paper proposes MVV to detect outliers via Mahalanobis squared distance (MSD).The results revealed that MVV is more effective in detecting outliers and in controlling Type I error compared with MCD.
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spelling uum-215692017-04-16T02:23:53Z https://repo.uum.edu.my/id/eprint/21569/ On robust mahalanobis distance issued from minimum vector variance Ali, Hazlina Syed Yahaya, Sharipah Soaad QA Mathematics Detecting outliers in high dimension datasets remains a challenging task.Under this circumstance, robust location and scale estimators are usually proposed in place of the classical estimators. Recently, a new robust estimator for multivariate data known as minimum variance vector (MVV) was introduced. Besides inheriting the nice properties of the famous MCD estimator, MVV is computationally more efficient. This paper proposes MVV to detect outliers via Mahalanobis squared distance (MSD).The results revealed that MVV is more effective in detecting outliers and in controlling Type I error compared with MCD. Pushpa Publishing House 2013 Article PeerReviewed application/pdf en https://repo.uum.edu.my/id/eprint/21569/1/FJMS%2074%202%202013%20249%20268.pdf Ali, Hazlina and Syed Yahaya, Sharipah Soaad (2013) On robust mahalanobis distance issued from minimum vector variance. Far East Journal of Mathematical Sciences (FJMS), 74 (2). pp. 249-268. ISSN 0972-0871 http://www.pphmj.com/abstract/7503.htm
spellingShingle QA Mathematics
Ali, Hazlina
Syed Yahaya, Sharipah Soaad
On robust mahalanobis distance issued from minimum vector variance
title On robust mahalanobis distance issued from minimum vector variance
title_full On robust mahalanobis distance issued from minimum vector variance
title_fullStr On robust mahalanobis distance issued from minimum vector variance
title_full_unstemmed On robust mahalanobis distance issued from minimum vector variance
title_short On robust mahalanobis distance issued from minimum vector variance
title_sort on robust mahalanobis distance issued from minimum vector variance
topic QA Mathematics
url https://repo.uum.edu.my/id/eprint/21569/1/FJMS%2074%202%202013%20249%20268.pdf
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