Optimal designs of the exponentially weighted moving average (EWMA) median chart for known and estimated parameters based on median run length

Z. L. Chong*, K. L. Tan, Michael B. C. Khoo, W. L. Teoh, P. Castagliola

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

In the literature, the sole dependence on the ARL as the performance measure of a control chart has received much criticism. This is because interpretation based on the ARL alone can be misleading, as the shape and skewness of the run-length distribution vary according to the magnitude of the process mean shift. Therefore, we consider the median run length (MRL) performance measure for optimal EWMA median chart when process parameters are known and estimated. We provide an illustrative example to show the application of the optimal EWMA median chart based on expected median run length (EMRL).

Original languageEnglish
Pages (from-to)3660-3684
Number of pages25
JournalCommunications in Statistics: Simulation and Computation
Volume51
Issue number7
Early online date17 Feb 2020
DOIs
Publication statusPublished - 3 Jul 2022

Keywords

  • Estimated parameters
  • Exponentially weighted moving average (EWMA) median chart
  • Known parameters
  • Median run length (MRL)
  • Steady-state
  • zero-state

ASJC Scopus subject areas

  • Statistics and Probability
  • Modelling and Simulation

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