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Monitoring multivariate simple linear profiles using robust estimators
Authors:Moslem Kordestani  Farid Hassanvand  Hamid Shahriari
Institution:1. Department of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iranmkordestani@email.kntu.ac.ir y_samimi@kntu.ac.ir;3. Department of Industrial Engineering, K.N. Toosi University of Technology, Tehran, Iran
Abstract:Brief Abstract

This article focuses on estimation of multivariate simple linear profiles. While outliers may hamper the expected performance of the ordinary regression estimators, this study resorts to robust estimators as the remedy of the estimation problem in presence of contaminated observations. More specifically, three robust estimators M, S and MM are employed. Extensive simulation runs show that in the absence of outliers or for small amount of contamination, the robust methods perform as well as the classical least square method, while for medium and large amounts of contamination the proposed estimators perform considerably better than classical method.
Keywords:Multivariate simple linear profile  outlier data  robust estimators  statistical process control
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