The Difficulty in Designing Shewhart X̄ and X Control Charts with Estimated Parameters

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Effect of the Amount of Phase I Data on the Phase II Performance of S2 and S Control Charts (2015, methodology): “The conditional distribution argument and perspective have been forwarded by other authors, like Trietsch and Bischak (1998), Chakraborti (2000 and 2006), and Saleh et al. (2015).”
Monitoring the Coefficient of Variation Using a Variable Sampling Interval EWMA Chart (2017, background): “Some recent studies on control charts were conducted by Huang et al. (2016), Chiu (2015), Epprecht et al. (2015), Leoni et al. (2015), Murkherjee et al. (2015), Fang et al. (2016), and Saleh et al. (2015a, 2015b).”
Another Look at the EWMA Control Chart with Estimated Parameters (2015, methodology): “…several authors have used the SDARL as a metric for determining the necessary amount of Phase I data for control charts with estimated parameters (see, e.g., Jones and Steiner 2012; Zhang et al. 2013; Zhang et al. 2014; Lee et al. 2013; Aly et al. 2015; Saleh et al. 2015; and Faraz et al. 2015).”
Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart Chart (2020, methodology): “Finally, Saleh et al. (2015b), also under the conditional perspective and the EPC, used bootstrapping of the Phase I reference data proposed by Gandy and Kvaløy (2013) to adjust the X and Exponentially Weighted Moving Average (EWMA) charts.”