Run Length Distribution and Percentiles: The Shewhart Chart with Unknown Parameters

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Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length (2019, methodology): “Chakraborti (2007) was motivated to use the MRL as a more representative measure to evaluate a chart’s performance.”
A Nonparametric EWMA Sign Chart for Location Based on Individual Measurements (2011, unknown): “and Chakraborti 2003), based on subgrouped data, and investigated its properties using simulations and compared it to the traditional (parametric) EWMA chart. They concluded that the nonparametric chart is considerably more efficient for heavy-tailed distributions. Their work provides evidence that ”
Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, methodology): “[9] for L UCE; the Secant search method implemented in R was used with 370:4 ARL0 10 10 as the stopping rule (that is, with a very high accuracy). From Table 1, we see that when the unadjusted limit factor (L 1⁄4 3) is used for L in the Phase II control limits, the attained ARL0 values differ consid”