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Run length, average run length and false alarm rate of shewhart x-bar chart: exact derivations by conditioning

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References

1993The Effect of Sample Size on Estimated Limits forXandXControl Charts323 cited

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2007Run Length Distribution and Percentiles: The Shewhart Chart with Unknown Parameters112 cited
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2015On designing a new Tukey-EWMA control chart for process monitoring92 cited
2003Are estimated control charts in control?82 cited
2014A Reevaluation of the Adaptive Exponentially Weighted Moving Average Control Chart When Parameters are Estimated81 cited
2015Effect of the Amount of Phase I Data on the Phase II Performance ofS2andSControl Charts71 cited
2019Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart X¯ Chart70 cited
2003Parametric control charts68 cited
2006Parameter estimation and design considerations in prospective applications of theX¯ chart65 cited
2008Design issues for adaptive control charts59 cited
2007The Rate of False Signals in Ū Control Charts with Estimated Limits51 cited
2013Control Charts for Simultaneous Monitoring of Unknown Mean and Variance of Normally Distributed Processes46 cited
2014Phase II Shewhart-type Control Charts for Monitoring Times Between Events and Effects of Parameter Estimation

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44 cited

2004Empirical Non-Parametric Control Charts: Estimation Effects and Corrections44 cited

2009Nonparametric control charts based on runs and Wilcoxon-type rank-sum statistics43 cited

2004Cumulative conformance count chart with sequentially updated parameters41 cited