References
- Albers, W., & Kallenberg, W. C. M. (2004a). Are estimated control charts in control? Statistics, 38(1), 67–79. https://doi.org/https://doi.org/10.1080/02669760310001619369
- Albers, W., & Kallenberg, W. C. M. (2004b). Estimation in Shewhart control charts: Effects and corrections. Metrika, 59(3), 207–234. https://doi.org/https://doi.org/10.1007/s001840300280
- Aparisi, F., Mosquera, J., & Epprecht, E. K. (2018). Simultaneously guaranteeing the in-control and out-of-control performances of the S2 control chart with estimated variance. Quality and Reliability Engineering International, 34(6), 1110–1126. https://doi.org/https://doi.org/10.1002/qre.2311
- Bischak, D. P., & Trietsch, D. (2007). The rate of false signals in Ū control charts with estimated limits. Journal of Quality Technology, 39(1), 54–65. https://doi.org/https://doi.org/10.1080/00224065.2007.11917673
- Castagliola, P., Celano, G., & Fichera, S. (2013). Comparison of the X¯ chart and the t chart when the parameters are estimated. Quality Technology & Quantitative Management, 10(1), 1–16.
- Chakraborti, S. (2000). Run length, average run length and false alarm rate of shewhart X¯ chart: Exact derivations by conditioning. Communications in Statistics - Simulation and Computation, 29(1), 61–81. https://doi.org/https://doi.org/10.1080/03610910008813602
- Chakraborti, S., Human, S. W., & Graham, M. A. (2009). Phase I statistical process control charts: An overview and some results. Quality Engineering, 21(1), 52–62. https://doi.org/https://doi.org/10.1080/08982110802445561
- Chen, J., Yang, H., & Yao, J. (2018). On the T2 control chart with estimated parameters. Quality Technology & Quantitative Management, 15(6), 716–729. https://doi.org/https://doi.org/10.1080/16843703.2017.1335491
- Cheng, Y., Sun, L., & Guo, B. (2018). Phase II synthetic exponential charts and effect of parameter estimation. Quality Technology & Quantitative Management, 15(1), 125–142. https://doi.org/https://doi.org/10.1080/16843703.2017.1304046
- Epprecht, E. K., Loureiro, L. D., & Chakraborti, S. (2015). Effect of the amount of phase I data on the phase II performance of S2 and S control charts. Journal of Quality Technology, 47(2), 139–155. https://doi.org/https://doi.org/10.1080/00224065.2015.11918121
- Faraz, A., Heuchenne, C., & Saniga, E. (2018). An exact method for designing Shewhart X¯ and S2 control charts to guarantee in-control performance. International Journal of Production Research, 46(7), 1–15.
- Faraz, A., Woodall, W. H., & Heuchenne, C. (2015). Guaranteed conditional performance of the S2 control chart with estimated parameters. International Journal of Production Research, 53(14), 4405–4413. https://doi.org/https://doi.org/10.1080/00207543.2015.1008112
- Gandy, A., & Kvaløy, J. T. (2013). Guaranteed conditional performance of control charts via bootstrap methods. Scandinavian Journal of Statistics, 40(4), 647–668. https://doi.org/https://doi.org/10.1002/sjos.12006
- Goedhart, R., Da Silva, M. M., Schoonhoven, M., Epprecht, E. K., Chakraborti, S., Does, R. J. M. M., & Veiga, A. (2017). Shewhart control charts for dispersion adjusted for parameter estimation. IISE Transactions, 49(8), 1–11. https://doi.org/https://doi.org/10.1080/24725854.2017.1299956
- Goedhart, R., Schoonhoven, M., & Does, R. J. M. M. (2017). Guaranteed in-control performance for the Shewhart X and X¯ control charts. Journal of Quality Technology, 49(2), 155–171. https://doi.org/https://doi.org/10.1080/00224065.2017.11917986
- Guo, B., & Wang, B. X. (2017). The design of the S2 control charts based on conditional performance via exact methods. Quality and Reliability Engineering International, 33(7), 1567–1575. https://doi.org/https://doi.org/10.1002/qre.2125
- Jardim, F. S., Chakraborti, S., & Epprecht, E. K. (2020). Two perspectives for designing a phase II control chart with estimated parameters: The case of the Shewhart X¯ Chart. Journal of Quality Technology, 52(2), 198–217. https://doi.org/https://doi.org/10.1080/00224065.2019.1571345
- Jensen, W. A., Jones-Farmer, A., Champ, C. W., & Woodall, W. H. (2006). Effects of parameter estimation on control chart properties: A literature review. Journal of Quality Technology, 38(4), 349–364. https://doi.org/https://doi.org/10.1080/00224065.2006.11918623
- Jones-Farmer, A., Woodall, W. H., Steiner, S. H., & Champ, C. W. (2014). An overview of phase I analysis for process improvement and monitoring. Journal of Quality Technology, 46(3), 265–280. https://doi.org/https://doi.org/10.1080/00224065.2014.11917969
- Loureiro, L. D., Epprecht, E. K., Chakraborti, S., & Jardim, F. S. (2018). In-control performance of the joint Phase II control charts when parameters are estimated. Quality Engineering, 30(2), 253–267. https://doi.org/https://doi.org/10.1080/08982112.2017.1349914
- Mahmoud, M. A., Henderson, R. G., Epprecht, E. K., & Woodall, W. H. (2010). Estimating the standard deviation in quality-control applications. Journal of Quality Technology, 42(4), 348–357. https://doi.org/https://doi.org/10.1080/00224065.2010.11917832
- Mosquera, J., Aparisi, F., & Epprecht, E. K. (2019). Design of an control chart with guaranteed joint in-control and out-of-control performances when the mean and variance are estimated. Quality and Reliability Engineering International, 35(7), 2097–2114.
- Psarakis, S., Vyniou, A. K., & Castagliola, P. (2014). Some recent developments on the effects of parameter estimation on control charts. Quality and Reliability Engineering International, 30(8), 1113–1129. https://doi.org/https://doi.org/10.1002/qre.1556
- Saleh, N. A., Mahmoud, A. M., Jones-Farmer, A., Zwetsloot, I. M., & Woodall, W. H. (2015). Another look at the EWMA control chart with estimated parameters. Journal of Quality Technology, 47(4), 363–382. https://doi.org/https://doi.org/10.1080/00224065.2015.11918140
- Saleh, N. A., Mahmoud, A. M., Keefe, M. J., & Woodall, W. H. (2015). The Difficulty in designing Shewhart X and X¯ control charts with estimated parameters. Journal of Quality Technology, 47(2), 127–138. https://doi.org/https://doi.org/10.1080/00224065.2015.11918120
- Trietsch, D., & Bischak, D. P. (1998). The rate of false signals for control charts with limits estimated from small samples. In 33rd Annual Conference, The Operational Research Society of New Zealand, 232–241.
- Woodall, W. H., & Montgomery, D. C. (1999). Research issues and ideas in statistical process control. Journal of Quality Technology, 31(4), 376–386. https://doi.org/https://doi.org/10.1080/00224065.1999.11979944