References
- Aly, A., M. Mahmoud, and R. Hamed. 2016. The performance of the multivariate adaptive exponentially weighted moving average control chart with estimated parameters. Quality and Reliability Engineering International 32 (3):957–67. doi:https://doi.org/10.1002/qre.1806.
- Aly, A., N. Saleh, M. Mahmoud, and W. Woodall. 2015. A re-evaluation of the adaptive exponentially weighted moving average control chart when parameters are estimated. Quality and Reliability Engineering International 31 (8):1611–22. doi:https://doi.org/10.1002/qre.1695.
- Borror, C., D. Montgomery, and G. Runger. 1999. Robustness of the EWMA control chart to non-normality. Journal of Quality Technology 31 (3):309–16. doi:https://doi.org/10.1080/00224065.1999.11979929.
- Brook, D., and D. Evans. 1972. An approach to the probability distribution of CUSUM run length. Biometrika 59 (3):539–49. doi:https://doi.org/10.1093/biomet/59.3.539.
- Castagliola, P., P. Maravelakis, and F. Figueiredo. 2016. The EWMA median chart with estimated parameters. IIE Transactions 48 (1):66–74. doi:https://doi.org/10.1080/0740817X.2015.1056861.
- Chakraborti, S. 2007. Run length distribution and percentiles: The Shewhart X¯ chart with unknown parameters. Quality Engineering 19 (2):119–27. doi:https://doi.org/10.1080/08982110701276653.
- Faraz, A., C. Heuchenne, and E. Saniga. 2017. The np chart with guaranteed in-control average run lengths. Quality and Reliability Engineering International 33 (5):1057–66. doi:https://doi.org/10.1002/qre.2091.
- Faraz, A., W. Woodall, and C. Heuchenne. 2015. Guaranteed conditional performance of the S2 control chart with estimated parameters. International Journal of Production Research 53 (14):4405–13. doi:https://doi.org/10.1080/00207543.2015.1008112.
- Gan, F. 1993. An optimal design of EWMA control charts based on median run length. Journal of Statistical Computation and Simulation 45 (3–4):169–84. doi:https://doi.org/10.1080/00949659308811479.
- Gan, F. 1994. An optimal design of cumulative sum control chart based on median run length. Communications in Statistics - Simulation and Computation 23 (2):485–503. doi:https://doi.org/10.1080/03610919408813183.
- Gandy, A., and J. Kvaloy. 2013. Guaranteed conditional performance of control charts via bootstrap methods. Scandinavian Journal of Statistics 40 (4):647–68. doi:https://doi.org/10.1002/sjos.12006.
- Geodhart, R., M. M. da Silvab, M. Schoonhoven, E. Epprecht, S. Chakraborti, R. M. Does, and A. Veiga. 2017. Shewhart control charts for dispersion adjusted for parameter estimation. IISE Transactions 49 (8):838–48. doi:https://doi.org/10.1080/24725854.2017.1299956.
- Geodhart, R., M. Schoonhoven, and R. Does. 2017. Guaranteed in-control performance for the Shewhart X and X¯ control charts. Journal of Quality Technology 49 (2):155–71. doi:https://doi.org/10.1080/00224065.2017.11917986.
- Hu, X., and P. Castagliola. 2017. Guaranteed conditional design of the median chart with estimated parameters. Quality and Reliability Engineering International 33 (8):1873–84. doi:https://doi.org/10.1002/qre.2152.
- Jensen, W., L. Jones, C. Champ, and W. Woodall. 2006. Effects of parameter estimation on control chart properties: A literature review. Journal of Quality Technology 38 (4):349–64. doi:https://doi.org/10.1080/00224065.2006.11918623.
- Jones, L. 2002. The statistical design of EWMA control charts with estimated parameters. Journal of Quality Technology 34 (3):277–88. doi:https://doi.org/10.1080/00224065.2002.11980158.
- Jones, L., C. Champ, and S. Rigdon. 2004. The run length distribution of the CUSUM with estimated parameters. Journal of Quality Technology 36 (1):95–108. doi:https://doi.org/10.1080/00224065.2004.11980254.
- Keefe, M., W. Woodall, and L. Jones-Farmer. 2015. The conditional in-control performance of self-starting control charts. Quality Engineering 27:488–99. doi:https://doi.org/10.1080/08982112.2015.1065323.
- Khoo, M. B. C., V. H. Wong, Z. Wu, and P. Castagliola. 2011. Optimal designs of the multivariate synthetic chart for monitoring the process mean vector based on median run length. Quality and Reliability Engineering International 27 (8):981–97.
- Khoo, M. B. C., V. H. Wong, Z. Wu, and P. Castagliola. 2012. Optimal design of the synthetic chart for the process mean based on median run length. IIE Transactions 44 (9):765–79. doi:https://doi.org/10.1080/0740817X.2011.609526.
- Knoth, S. 2015. Run length quantiles of EWMA control charts monitoring normal mean or/and variance. International Journal of Production Research 53 (15):4629–47. doi:https://doi.org/10.1080/00207543.2015.1005253.
- Latouche, G., and V. Ramaswami. 1999. Introduction to matrix analytic methods in stochastic modelling. Philadelphia, PA: ASA-SIAM.
- Lee, M., and M. B. Khoo. 2017. Optimal design of synthetic np control chart based on median run length. Communications in Statistics - Theory and Methods 46 (17):8544–56. doi:https://doi.org/10.1080/03610926.2016.1183790.
- Lu, C., and M. J. Reynolds. 1999. EWMA control charts for monitoring the mean of autocorrelated processes. Journal of Quality Technology 31 (2):166–86. doi:https://doi.org/10.1080/00224065.1999.11979913.
- Lucas, J., and M. Saccucci. 1990. Exponentially weighted moving average control schemes: Properties and enhancements. Technometrics 32 (1):1–12. doi:https://doi.org/10.1080/00401706.1990.10484583.
- Maravelakis, P., P. Castagliola, and M. B. Khoo. 2017. Run length properties of run rules EWMA chart using integral equations. Quality Technology & Quantitative Management 16 (2):129–39. doi:https://doi.org/10.1080/16843703.2017.1372853.
- Montgomery, D. C. 2009. Introduction to statistical quality control. 6th ed. Hoboken, NJ: John Wiley & Sons, Inc.
- Neuts, M. 1981. Matrix-geometric solutions in stochastic models: An algorithmic approach. Mineola, NY: Dover Publications Inc.
- Psarakis, S., A. Vyniou, and P. Castagliola. 2014. Some recent developments on the effects of parameter estimation on control charts. Quality and Reliability Engineering International 30 (8):1113–29. doi:https://doi.org/10.1002/qre.1556.
- Roberts, S. 1959. Control charts tests based on geometric moving averages. Technometrics 1 (3):239–50. doi:https://doi.org/10.2307/1266443.
- Saleh, N., M. Mahmoud, L. Jones-Farmer, I. Zwetsloot, and W. Woodall. 2015a. Another look at the EWMA control charts with estimated parameters. Journal of Quality Technology 47 (4):363–82. doi:https://doi.org/10.1080/00224065.2015.11918140.
- Saleh, N., M. Mahmoud, M. Keefe, and W. Woodall. 2015b. The difficulty in designing Shewhart X¯ and X control charts with estimated parameters. Journal of Quality Technology 47 (2):127–38. doi:https://doi.org/10.1080/00224065.2015.11918120.
- Saleh, N., I. Zwetsloot, M. Mahmoud, and W. Woodall. 2016. CUSUM charts with controlled conditional performance under estimated parameters. Quality Engineering 28 (4):402–15. doi:https://doi.org/10.1080/08982112.2016.1144072.
- Tang, A., P. Castagliola, J. Sun, and X. Hu. 2018. Optimal design of the adaptive EWMA chart for the mean based on median run length and expected median run length. Quality Technology & Quantitative Management 16 (4):439–58.
- Teoh, W., J. Chong, M. B. Khoo, P. Castagliola, and W. Yeong. 2016a. Optimal designs of the variable sample size chart based on median run length and expected median run length. Quality and Reliability Engineering International 33 (1):121–34. doi:https://doi.org/10.1002/qre.1994.
- Teoh, W., M. B. Khoo, P. Castagliola, and S. Chakraborti. 2015. A median run length-based double-sampling X¯ chart with estimated parameters for minimizing the average sample size. The International Journal of Advanced Manufacturing Technology 80 (1–4):411–26. doi:https://doi.org/10.1007/s00170-015-6949-x.
- Teoh, W., M. B. Khoo, P. Castagliola, and M. H. Lee. 2016b. The exact run length distribution and design of the Shewhart chart with estimated parameters based on median run length. Communications in Statistics - Simulation and Computation 45 (6):2081–103. doi:https://doi.org/10.1080/03610918.2014.889158.
- You, H., M. B. Khoo, P. Castagliola, and L. Qu. 2016. Optimal exponentially weighted moving average charts with estimated parameters based on median run length and expected median run length. International Journal of Production Research 54 (17):5073–94. doi:https://doi.org/10.1080/00207543.2016.1145820.
- Zhang, M., F. Megahed, and W. Woodall. 2014. Exponential CUSUM charts with estimated control limits. Quality and Reliability Engineering International 30 (2):275–86. doi:https://doi.org/10.1002/qre.1495.
- Zhang, Y., P. Castagliola, Z. Wu, and M. Khoo. 2011. The synthetic X¯ charts with estimated parameters. IIE Transactions 43:676–87. doi:https://doi.org/10.1080/0740817X.2010.549547.