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Articles

The adaptive EWMA median chart for known and estimated parameters

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Pages 844-863 | Received 25 Apr 2018, Accepted 20 Jan 2019, Published online: 28 Jan 2019

References

  • Crowder S. Average run lengths of exponentially weighted moving average control charts. J Qual Technol. 1987;19(3):161–164.
  • Lucas J, Saccucci M. Exponentially weighted moving average control schemes: properties and enhancements. Technometrics. 1990;32(1):1–12.
  • Yashchin E. Some aspects of the theory of statistical control schemes. IBM J Res Dev. 1987;31(2):199–205.
  • Woodall W, Mahmoud M. The inertial properties of quality control charts. Technometrics. 2005;47(4):425–436.
  • Capizzi G, Masarotto G. An adaptive exponentially weighted moving average control chart. Technometrics. 2003;45(3):199–207.
  • Aly A, Hamed R, Mahmoud M. Optimal design of the adaptive exponentially weighted moving average control chart over a range of mean shifts. Commun Stat Simul Comput. 2015;46(2):890–902.
  • Reynolds M, Stoumbos Z. Comparisons of some exponentially weighted moving average control charts for monitoring the process mean and variance. Technometrics. 2006;48(4):550–567.
  • Shu L. An adaptive exponentially weighted moving average control chart for monitoring process variances. J Stat Comput Simul. 2008;78(4):367–384.
  • Mahmoud M, Zahran A. A multivariate adaptive exponentially weighted moving average control chart. Commun Stat Theory Methods. 2010;39(4):606–625.
  • Su Y, Shu L, Tsui K. Adaptive EWMA procedures for monitoring processes subject to linear drifts. Comput Stat Data Anal. 2011;55(10):2819–2829.
  • Tang A, Castagliola P, Sun J, et al. An adaptive exponentially weighted moving average chart for the mean with variable sampling intervals. Qual Reliab Eng Int. 2017;33(8):2023–2034.
  • Tang A, Castagliola P, Sun J, et al. The effect of measurement errors on the adaptive EWMA X¯ chart. Qual Reliab Eng Int. 2017. DOI:10.1002/qre.2275.
  • Quesenberry C. The effect of sample size on estimated limits for X¯ and X control charts. J Qual Technol. 1993;25(4):237–247.
  • Chen G. The mean and standard deviation of the run length distribution of X¯ charts when control limits are estimated. Stat Sin. 1997;7(3):789–798.
  • Jones L, Champ C, Rigdon S. The performance of exponentially weighted moving average charts with estimated parameters. Technometrics. 2001;43(2):156–167.
  • Nedumaranand G, Pignatiello J. On estimating X¯ control chart limits. J Qual Technol. 2001;33(2):206–212.
  • Jones L, Champ C, Rigdon S. The run length distribution of the CUSUM with estimated parameters. J Qual Technol. 2004;36(1):95–108.
  • Capizzi G, Masarotto G. Combined Shewhart-EWMA control charts with estimated parameters. J Stat Comput Simul. 2010;80(7):793–807.
  • Zhang Y, Castagliola P, Wu Z, et al. The Synthetic X¯ charts with estimated parameters. IIE Trans. 2011;43(9):676–687.
  • Zhang Y, Castagliola P, Wu Z, et al. The variable sampling interval X¯ chart with estimated parameters. Qual Reliab Eng Int. 2012;28(1):19–34.
  • Castagliola P, Zhang Y, Costa A, et al. The variable sample size X¯ chart with estimated parameters. Qual Reliab Eng Int. 2012;28(7):687–699.
  • Lim S, Khoo M, Teoh W, et al. Optimal designs of the variable sample size and sampling interval X¯ chart when process parameters are estimated. Int J Prod Econ. 2015;166:349–364.
  • You H, Khoo M, Castagliola P, et al. Optimal exponentially weighted moving average charts with estimated parameters based on median run length and expected median run length. Int J Prod Res. 2016;54(17):5073–5094.
  • Saleh N, Mahmoud M, Abdel-Salam A. The performance of the adaptive exponentially weighted moving average control chart with estimated parameters. Qual Reliab Eng Int. 2013;29(4):595–606.
  • Saleh N, Mahmoud M, Keefe M, et al. The diffculty in designing Shewhart X¯ and X conrol charts with estimated parameters. J Qual Technol. 2015b;47(2):127–138.
  • Goedhart R, Schoonhoven M, Does R. Guaranteed in-control performance for the Shewhart X and X¯ control charts. J Qual Technol. 2017;49(2):155–171.
  • Zhou M. Variable sample size and variable sampling interval Shewhart control chart with estimated parameters. Oper Res. 2017;17(1):17–37.
  • Zwetsloot I, Woodall W. A head-to-head comparative study of the conditional performance of control charts based on estimated parameters. Qual Eng. 2017;29(2):244–253.
  • Chen G. The run length distributions of the R, S and S2 control chart when σ is estimated. Stat Sin. 1998;26(2):311–322.
  • Castagliola P, Celano G, Chen G. The exact run length distribution and design of the S2 chart when the in-control variance is estimated. Int J Reliab Qual Safety Eng. 2009;16(1):23–38.
  • Maravelakis P, Castagliola P. An EWMA chart for monitoring the process standard deviation when parameters are estimated. Comput Stat Data Anal. 2009;53(7):2653–2664.
  • Castagliola P, Maravelakis P. A CUSUM control chart for monitoring the variance when parameters are estimated. J Stat Plan Inference. 2011;141(4):1463–1478.
  • Schoonhoven M, Riaz M, Does R. Design and analysis of control charts for standard deviation with estimated parameters. J Qual Technol. 2011;43(4):307–333.
  • Epprecht E, Loureiro L, Chakraborti S. Effect of the amount of Phase I data on the Phase II performance of S2 and S contorl chart. J Qual Technol. 2015;47(2):139–155.
  • Castagliola P, Oprime P, Khoo M. The double sampling S2 chart with estimated process variance. Commun Stat Theory Methods. 2017;46(7):3556–3573.
  • Diko M, Goedhart R, Chakraborti S, et al. Phase II control charts for monitoring dispersion when parameters are estimated. Qual Eng. 2017;29(4):605–622.
  • Goedhart R, Michele M, Schoonhoven M, et al. Shewhart control charts for dispersion adjusted for parameter estimation. IISE Trans. 2017;49(8):838–848.
  • Loureiro L, Epprecht E, Chakraborti S, et al. In-control performance of the joint Phase II S control charts when parameters are estimated. Qual Eng. 2018;30(2):253–267.
  • Jensen W, Jones-Farmer L, Champ C, et al. Effects of parameter estimation on control chart properties: a literature review. J Qual Technol. 2006;38(4):349–364.
  • Psarakis S, Vyniou A, Castagliola P. Some recent developments on the effects of parameter estimation on control charts. Qual Reliab Eng Int. 2014;30(8):1113–1129.
  • Aly A, Saleh N, Mahmoud M, et al. A re-evaluation of the adaptive exponentially weighted moving average control chart when parameters are estimated. Qual Reliab Eng Int. 2015;31(8):1611–1622.
  • Faraz A, Woodall W, Heuchenne C. Guaranteed conditional performance of the S2 Control chart with estimated parameters. Int J Prod Res. 2015;53(14):4405–4413.
  • Saleh N, Mahmoud M, Jones-Farmer L, et al. Another look at the EWMA control charts with estimated parameters. J Qual Technol. 2015a;47(4):363–382.
  • Aly A, Mahmoud M, Hamed R. The performance of the multivariate adaptive exponentially weighted moving average control chart with estimated parameters. Qual Reliab Eng Int. 2016;32(3):957–967.
  • Castagliola P, Maravelakis P, Figueiredo F. The EWMA median chart with estimated parameters. IIE Trans. 2016;48(1):66–74.
  • Castagliola P. An X¯/R-EWMA control chart for monitoring the process sample median. Int J Reliab Qual Safety Eng. 2001;8(2):123–135.
  • Khoo M. A control chart based on sample median for the detection of a permanent shift in the process mean. Qual Eng. 2005;17(2):243–257.
  • Sheu S, Yang L. The Generally Weighted Moving Average Median Control Chart. Qual Technol Quant Manag. 2006;3(4):455–471.
  • Park H. Median control charts based on bootstrap method. Commun Stat Simul Comput. 2009;38(3):558–570.
  • Graham M, Human S, Chakraborti S. A Phase I nonparametric Shewhart-type control chart based on the median. J Appl Stat. 2010;33(11):1795–1813.
  • Tran K, Castagliola P, Balakrishnan N. On the performance of shewhart median chart in the presence of measurement errors. Qual Reliab Eng Int. 2017;33(5):1019–1029.
  • Castagliola P, Figueiredo F. The median chart with estimated parameters. Eur J Ind Eng. 2013;7(5):594–614.
  • Hu X, Castagliola P. Guaranteed conditional design of the median chart with estimated parameters. Qual Reliab Eng Int. 2017;33(8):1873–1884.
  • Hu X, Castagliola P, Zhou X, et al. Conditional design of EWMA median chart with estimated parameters. Commun Stat Theory Methods. 2018. DOI:10.1080/03610926.2018.1440310.
  • Neuts M. Matrix-geometric solutions in stochastic models: an algorithmic approach. Baltimore: Dover Publications Inc; 1981.
  • Latouche G, Ramaswami V. Introduction to matrix analytic methods in stochastic modelling. Philadelphia: ASA-SIAM; 1999.
  • Jones M, Steiner S. Assessing the effect of estimation error on the risk-adjusted CUSUM chart performance. Int J Qual Health Care. 2012;24(2):176–181.
  • Gandy A, Kvaløy J. Guaranteed conditional performance of control charts via bootstrap methods. Scand J Stat. 2013;40(4):647–668.

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