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Optimal design of exponentially weighted moving average– chart for the mean with estimated process parameters

Author

Listed:
  • H. W. You
  • Michael B. C. Khoo
  • M. H. Lee
  • P. Castagliola
  • S. Saha

Abstract

This paper proposes an optimal design of the exponentially weighted moving average (EWMA)–X‾$\bar{X}$ chart with estimated process parameters in terms of average run length (ARL) and standard deviation of the run length (SDRL), using a Markov chain. An optimal design enables the EWMA–X‾$\bar{X}$ chart with estimated process parameters to be optimally designed by minimizing the out-of-control ARL, in order to overcome the current limitation, where only the EWMA–X‾$\bar{X}$ chart with known process parameters is optimally designed. With the proposed procedure, the EWMA–X‾$\bar{X}$ chart with estimated process parameters can be designed to have a similar in-control performance on average to its known process parameters counterpart.

Suggested Citation

  • H. W. You & Michael B. C. Khoo & M. H. Lee & P. Castagliola & S. Saha, 2017. "Optimal design of exponentially weighted moving average– chart for the mean with estimated process parameters," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(22), pages 11077-11090, November.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:22:p:11077-11090
    DOI: 10.1080/03610926.2016.1257716
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