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Monitoring a BAR(1) Process with EWMA and DEWMA Control Charts

In: Control Charts and Machine Learning for Anomaly Detection in Manufacturing

Author

Listed:
  • Maria Anastasopoulou

    (University of the Aegean)

  • Athanasios C. Rakitzis

    (University of the Aegean)

Abstract

In this work we study one-sided and two-sided EWMA and Double EWMA control charts for monitoring an integer-valued autocorrelated process with a bounded support. The performance of the proposed charts is studied via simulation. We compare the performance of the proposed charts and provide aspects for the statistical design and practical implementation. The results of an extensive numerical study, that consists of the examination of a wide variety of out-of-control situations, show that none of the chart outperforms the other uniformly. Specifically, both charts have a difficulty in detecting decreasing shifts in the autocorrelation parameter. An illustrative example based on real data is also provided.

Suggested Citation

  • Maria Anastasopoulou & Athanasios C. Rakitzis, 2022. "Monitoring a BAR(1) Process with EWMA and DEWMA Control Charts," Springer Series in Reliability Engineering, in: Kim Phuc Tran (ed.), Control Charts and Machine Learning for Anomaly Detection in Manufacturing, pages 77-103, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-83819-5_4
    DOI: 10.1007/978-3-030-83819-5_4
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