A NEW ROBUST BIVARIATE CONTROL CHART FOR LOCATION

Abstract

This paper has developed a new robust Shewhart-type control chart for monitoring the location of a bivariate process and examine its behavior based on the Hodges–Lehamnn and Shamos–Bickel–Lehmann estimators. A numerical example is given to illustrate the use of the proposed method. Its performance is investigated using a simulation study.

Keywords:

• Hodges–Lehmann estimator
• Shamos–Bickel–Lehmann estimator
• Hotelling's T ²
• Shewhart-type
• Walsh averages
• Bonferroni method

ACKNOWLEDGMENTS

The authors sincerely thanks Professor Peter J. Rousseeuw, University of Antwerp, UIA, Department of Mathematics, Belgium, for his help in answering some questions related to this paper. We also express our appreciation to the referees for their valuable comments and helpful suggestions for the improvement of the paper.