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The effect of parameters estimation on the performance of variables control charts under repetitive sampling

Author

Listed:
  • Vasileios Alevizakos
  • Kashinath Chatterjee
  • Christos Koukouvinos
  • Angeliki Lappa

Abstract

The repetitive sampling scheme is utilized in control charts to enhance their detection ability in process shifts. Their performance is usually evaluated under the assumption that the process parameters are known. In this article, we investigate the performance of the X¯ and S2 charts under repetitive sampling when the process parameters are estimated from a preliminary in-control (Phase I) sample. We also present the exact expressions of the average run-length (ARL), standard deviation of run-length (SDRL) and average sample number (ASN) measures. A numerical analysis demonstrates that the effect of parameters estimation is significant when the Phase I sample and the sample size are small.

Suggested Citation

  • Vasileios Alevizakos & Kashinath Chatterjee & Christos Koukouvinos & Angeliki Lappa, 2023. "The effect of parameters estimation on the performance of variables control charts under repetitive sampling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 52(7), pages 2379-2401, April.
    • Handle: RePEc:taf:lstaxx:v:52:y:2023:i:7:p:2379-2401
    DOI: 10.1080/03610926.2021.1952269
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