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A robust R control chart based on a two-step estimator of the process dispersion

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  • Hamid Shahriari
  • Orod Ahmadi

Abstract

Control charts are the frequently used tools for monitoring and controlling the processes. Classical control charts are sensitive to existing contaminated data which may be presented in the data collected from the processes. Thus, these charts are not able to control the processes precisely when the data are contaminated. Robust control charts are those which are less sensitive to contamination. Some robust control charts for monitoring the process variability were proposed in the past which are robust to some sorts of contamination. In this paper a new robust R control chart is proposed which is less sensitive to wide range of contaminations, i.e. general and local contaminations. Simulation studies are performed to compare the performance of the proposed control chart with some classical and robust control charts, using ARL and MSD as criteria for comparisons purposes. The simulation results show a very good performance of the proposed chart when both types of contaminations exist.

Suggested Citation

  • Hamid Shahriari & Orod Ahmadi, 2016. "A robust R control chart based on a two-step estimator of the process dispersion," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(9), pages 2504-2523, May.
    • Handle: RePEc:taf:lstaxx:v:45:y:2016:i:9:p:2504-2523
    DOI: 10.1080/03610926.2014.882952
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