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The Fréchet Control Charts

In: Frontiers in Statistical Quality Control 8

Author

Listed:
  • Edyta Mrówka

    (Polish Academy of Sciences, Systems Research Institute)

  • Przemysław Grzegorzewski

    (Polish Academy of Sciences, Systems Research Institute)

Abstract

Summary A new control chart based on the Fréchet distance for monitoring simultaneously the process level and spread is suggested. Our chart reveals interesting statistical properties: its behavior is comparable with traditional control charts if changes in process level only or changes in process spread only are observed, but it is much better than $$ \bar X$$ - S control chart under simultaneous disturbances in the process level and spread.

Suggested Citation

  • Edyta Mrówka & Przemysław Grzegorzewski, 2006. "The Fréchet Control Charts," Springer Books, in: Hans-Joachim Lenz & Peter-Theodor Wilrich (ed.), Frontiers in Statistical Quality Control 8, pages 123-135, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7908-1687-7_7
    DOI: 10.1007/3-7908-1687-6_7
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