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Detection capability of residual control chart for stationary process data

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  • Nien Fan Zhang

Abstract

In recent years, methods for dealing with autocorrelated data in the statistical process control environment have been proposed. A primary method is based on modeling the process data and applying control charts to the residuals. However, the residual charts do not have the same properties as the traditional charts. In the literature, there has been no systematic study on the detection capability of the residual chart for the stationary processes. The article develops a measure of the detection capability of the residual chart for the general stationary processes. Conditions under which the residual chart reduces or increases the detection capability are given. The relationships between the detection capability and the average run length of the residual chart are also established.

Suggested Citation

  • Nien Fan Zhang, 1997. "Detection capability of residual control chart for stationary process data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(4), pages 475-492.
  • Handle: RePEc:taf:japsta:v:24:y:1997:i:4:p:475-492
    DOI: 10.1080/02664769723657
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    Cited by:

    1. Yaping Li & Haiyan Li & Zhen Chen & Ying Zhu, 2022. "An Improved Hidden Markov Model for Monitoring the Process with Autocorrelated Observations," Energies, MDPI, vol. 15(5), pages 1-13, February.
    2. Zamba, K.D. & Tsiamyrtzis, Panagiotis & Hawkins, Douglas M., 2013. "A three-state recursive sequential Bayesian algorithm for biosurveillance," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 82-97.
    3. Anna Malinovskaya & Philipp Otto, 2021. "Online network monitoring," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 30(5), pages 1337-1364, December.

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