Synthetic c charts with known and estimated process parameters based on median run length and expected median run length

References

• Atalay, M., Testik, M. C., Duran, S., & Weiß, C. H. (2020). Guidelines for automating Phase-I of control charts by considering effects on Phase-II performance of individuals control chart. Quality Engineering, 32(2), 223–243. https://doi.org/10.1080/08982112.2019.1641208
   Web of Science ®Google Scholar
• Chong, Z. L., Khoo, M. B. C., Teoh, W. L., Yeong, W. C., & Lim, S. L. (2020a). Optimal design of the modified group runs (MGR) X chart when process parameters are estimated. Communications in Statistics – Simulation and Computation, 49(1), 244–260. https://doi.org/10.1080/03610918.2018.1484475
   Web of Science ®Google Scholar
• Chong, Z. L., Tan, K. L., Khoo, M. B. C., Teoh, W. L., & Castagliola, P. (2020b). Optimal designs of the exponentially weighted moving average (EWMA) median chart for known and estimated parameters based on median run length. Communications in Statistics – Simulation and Computation. Advance online publication. https://doi.org/10.1080/03610918.2020.1721539
   Google Scholar
• Davis, R. B., & Woodall, W. H. (2002). Evaluating and improving the synthetic control chart. Journal of Quality Technology, 34(2), 200–208. https://doi.org/10.1080/00224065.2002.11980146
   Web of Science ®Google Scholar
• Diko, M. D., Chakraborti, S., & Does, R. J. M. M. (2019). An alternative design of the two-sided CUSUM chart for monitoring the mean when parameters are estimated. Computers & Industrial Engineering, 137, 106042. https://doi.org/10.1016/j.cie.2019.106042
   Web of Science ®Google Scholar
• Does, R. J. M. M., Goedhart, R., & Woodall, W. H. (2020). On the design of control charts with guaranteed conditional performance under estimated parameters. Quality and Reliability Engineering International, 36(8), 2610–2620. https://doi.org/10.1002/qre.2658
   Google Scholar
• Huang, W. H. (2020). The effect of parameter estimation on X control charts for the lognormal distribution. Communications in Statistics – Simulation and Computation. Advance online publication. https://doi.org/10.1080/03610918.2020.1812648
   Google Scholar
• 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/10.1080/00224065.2019.1571345
   Web of Science ®Google Scholar
• Khoo, M. B. C., Saha, S., Lee, H. C., & Castagliola, P. (2019). Variable sampling interval exponentially weighted moving average median chart with estimated process parameters. Quality and Reliability Engineering International, 35(8), 2732–2748. https://doi.org/10.1002/qre.2554
   Web of Science ®Google Scholar
• Khusna, H., Mashuri, M., Ahsan, M., Suhartono, S., & Prastyo, D. D. (2020). Bootstrap-based maximum multivariate CUSUM control chart. Quality Technology & Quantitative Management, 17(1), 52–74. https://doi.org/10.1080/16843703.2018.1535765
   Web of Science ®Google Scholar
• Kumar, N. (2020). Conditional analysis of Phase II exponential chart for monitoring times to an event. Quality Technology & Quantitative Management, 17(3), 285–306. https://doi.org/10.1080/16843703.2019.1613772
   Web of Science ®Google Scholar
• Kumar, N. (2021). Statistical design of phase II exponential chart with estimated parameters under the unconditional and conditional perspectives using exact distribution of median run length. Quality Technology & Quantitative Management, 19(1), 1–18. https://doi.org/10.1080/16843703.2021.1972515
   Web of Science ®Google Scholar
• Lee, M. H., & Khoo, M. B. C. (2017). Optimal design of synthetic np control chart based on median run length. Communications in Statistics - Theory and Methods, 46(17), 8544–8556. https://doi.org/10.1080/03610926.2016.1183790
   Web of Science ®Google Scholar
• Lee, M. H., Khoo, M. B. C., Chew, X. Y., Then, P. H. H., & Rapallo, F. (2020). Economic-statistical design of synthetic np chart with estimated process parameter. PLoS ONE, 15(4), e0230994. https://doi.org/10.1371/journal.pone.0230994
   Web of Science ®Google Scholar
• Lee, M. H., & Khoo, M. B. C. (2021). Double sampling np chart with estimated process parameter. Communications in Statistics – Simulation and Computation, 50(8), 2232–2250. https://doi.org/10.1080/03610918.2019.1599017
   Web of Science ®Google Scholar
• Lim, S. L., Yeong, W. C., Khoo, M. B. C., Chong, Z. L., & Khaw, K. W. (2019). An alternative design for the variable sample size coefficient of variation chart based on the median run length and expected median run length. International Journal of Industrial Engineering, 26(2), 199–220. https://doi.org/10.23055/ijietap.2019.26.2.4085
   Google Scholar
• Maleki, F., Mehri, S., Aghaie, A., & Shahriari, H. (2020). Robust T2 control chart using median-based estimators. Quality and Reliability Engineering International, 36(6), 2187–2201. https://doi.org/10.1002/qre.2691
   Web of Science ®Google Scholar
• Montgomery, D. C., & Runger, G. C. (2003). Applied statistics and probability for engineers (3rd ed.). Wiley.
   Google Scholar
• Motsepa, C. M., Malela-Majika, J. C., Castagliola, P., & Shongwe, S. C. (2020). A side-sensitive double sampling X monitoring scheme with estimated process parameters. Communications in Statistics – Simulation and Computation. Advance online publication. https://doi.org/10.1080/03610918.2020.1722835
   Google Scholar
• Nyau, S. Y., Lee, M. H., & Wong, M. L. D. (2017). Optimal statistical design of variable sample size multivariate exponentially weighted moving average control chart based on median run-length. Quality Technology & Quantitative Management, 14(4), 478–495. https://doi.org/10.1080/16843703.2017.1304041
   Web of Science ®Google Scholar
• Qiao, Y., Hu, X., Sun, J., & Xu, Q. (2019). Optimal design of one-sided exponential EWMA charts with estimated parameters based on the median run length. IEEE Access, 7, 76645–76658. https://doi.org/10.1109/ACCESS.2019.2921427
   Web of Science ®Google Scholar
• Qiao, Y., Hu, X., Sun, J., & Xu, Q. (2021). Optimal design of one-sided exponential cumulative sum charts with known and estimated parameters based on the median run length. Quality and Reliability Engineering International, 37(1), 123–144. https://doi.org/10.1002/qre.2725
   Web of Science ®Google Scholar
• Qiao, Y., Sun, J., Castagliola, P., & Hu, X. (2022). Optimal design of one-sized exponential EWMA charts based on median run length and expected median run length. Communications in Statistics - Theory and Methods, 51(9), 2887–2907. https://doi.org/10.1080/03610926.2020.1782937
   Google Scholar
• Saghir, A., Abbasi, S. A., & Faraz, A. (2021). The exact method for designing the Maxwell chart with estimated parameter. Communications in Statistics – Simulation and Computation, 50(1), 270–281. https://doi.org/10.1080/03610918.2018.1554114
   Web of Science ®Google Scholar
• Shariati, N. (2020). Robust residual control chart for contaminated time series: A solution to the effects of outlier-driven parameter misestimation on the control chart performance. Communications in Statistics - Theory and Methods. Advance online publication. https://doi.org/10.1080/03610926.2020.1736303
   Google Scholar
• Tang, A., Castagliola, P., Hu, X., & Sun, J. (2019a). The adaptive EWMA median chart for known and estimated parameters. Journal of Statistical Computation and Simulation, 89(5), 844–863. https://doi.org/10.1080/00949655.2019.1573425
   Web of Science ®Google Scholar
• Tang, A., Castagliola, P., Sun, J., & Hu, X. (2019b). 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), 439–458. https://doi.org/10.1080/16843703.2018.1460908
   Web of Science ®Google Scholar
• Teoh, W. L., Khoo, M. B. C., Castagliola, P., & Lee, M. H. (2016). The exact run length distribution and design of the Shewhart X chart with estimated parameters based on median run length. Communications in Statistics – Simulation and Computation, 45(6), 2081–2103. https://doi.org/10.1080/03610918.2014.889158
   Web of Science ®Google Scholar
• Teoh, W. L., Chong, J. K., Khoo, M. B. C., Castagliola, P., & Yeong, W. C. (2017). Optimal designs of the variable sample size X chart based on median run length and expected median run length. Quality and Reliability Engineering International, 33(1), 121–134. https://doi.org/10.1002/qre.1994
   Web of Science ®Google Scholar
• Teoh, W. L., Lim, J. Y., Khoo, M. B. C., Chong, Z. L., & Yeong, W. C. (2019). Optimal designs of EWMA charts for monitoring the coefficient of variation based on median run length and expected median run length. Journal of Testing and Evaluation, 47(1), 459–479. https://doi.org/10.1520/JTE20170118
   Web of Science ®Google Scholar
• Testik, M. C., Kara, O., & Knoth, S. (2020). An algorithm approach to outlier detection and parameter estimation in Phase-I for designing Phase II EWMA control chart. Computers & Industrial Engineering, 144, 106440. https://doi.org/10.1016/j.cie.2020.106440
   Web of Science ®Google Scholar
• Wu, S., Castagliola, P., & Khoo, M. B. C. (2016). Run rules based Phase-II c and np charts when process parameters are unknown. Communications in Statistics - Theory and Methods, 45(4), 1182–1197. https://doi.org/10.1080/03610926.2013.861493
   Web of Science ®Google Scholar
• Yazdi, A. A., Hamadani, A. Z., & Amiri, A. (2020). Addressing the effect of parameter estimation on Phase-II monitoring of multivariate multiple linear profiles via a new cluster-based approach. Communincations in Statistics - Theory and Methods, 49(17), 4117–4132. https://doi.org/10.1080/03610926.2019.1594303
   Web of Science ®Google Scholar
• You, H. W., Khoo, M. B. C., Castagliola, P., & Qu, L. (2016). Optimal exponentially weighted moving average X charts with estimated parameters based on median run length and expected median run length. International Journal of Production Research, 54(17), 5073–5094. https://doi.org/10.1080/00207543.2016.1145820
   Web of Science ®Google Scholar