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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 401350, 7 pages
http://dx.doi.org/10.1155/2013/401350
Research Article

Robust Hotelling Control Chart with Consistent Minimum Vector Variance

College of Art and Sciences, Universiti Utara Malaysia, 06010 Sintok, Kedah, Malaysia

Received 25 February 2013; Revised 21 August 2013; Accepted 25 August 2013

Academic Editor: A. Elías-Zúñiga

Copyright © 2013 Hazlina Ali et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.