An EWMA-type sign chart with exact run length properties

References

• Abid, M., H. Z. Nazir, M. Riaz, and Z. Lin. 2017. An efficient nonparametric EWMA Wilcoxon signed-rank chart for monitoring location. Quality and Reliability Engineering International 33 (3):669–85. 10.1002/qre.2048
   Web of Science ®Google Scholar
• Amin, R. W., M. R. Reynolds Jr., and S. T. Bakir. 1995. Nonparametric quality control charts based on the sign statistic. Communications in Statistics: Theory and Methods 24 (6):1597–623. 10.1080/03610929508831574
   Web of Science ®Google Scholar
• Amin, R. W., and A. J. Searcy. 1991. A nonparametric exponentially weighted moving average control scheme. Communications in Statistics: Simulation and Computation 20 (4):1049–72. 10.1080/03610919108812996
   Web of Science ®Google Scholar
• Bakir, S. T., and M. R. Reynolds Jr. 1979. A nonparametric procedure for process control based on within-group ranking. Technometrics 21 (2):175–83. 10.1080/00401706.1979.10489747
   Web of Science ®Google Scholar
• Brook, D., and D. A. Evans. 1972. An approach to the probability distribution of CUSUM run length. Biometrika 59 (3):539–49. 10.1093/biomet/59.3.539
   Web of Science ®Google Scholar
• Celano, G., P. Castagliola, S. Chakraborti, and G. Nenes. 2016a. The performance of the Shewhart sign control chart for finite horizon processes. International Journal of Advanced Manufacturing Technology 84 (5):1497–512.
   Web of Science ®Google Scholar
• Celano, G., P. Castagliola, S. Chakraborti, and G. Nenes. 2016b. On the implementation of the Shewhart sign control chart for low-volume production. International Journal of Production Research 5886–5900 (54):19. 10.1080/00207543.2016.1186297
   Web of Science ®Google Scholar
• Chakraborty, N., S. Chakraborti, S. W. Human, and N. Balakrishnan. 2016. A generally weighted moving average signed-rank control chart. Quality and Reliability Engineering International 32 (8):2835–45. 10.1002/qre.1968
   Web of Science ®Google Scholar
• Chakraborti, S., S. W. Human, and M. A. Graham. 2011. Nonparametric (distribution-free) quality control charts. In Handbook of methods and applications of statistics: Engineering, quality control, and physical sciences, ed. N. Balakrishnan, 298–329. Hoboken, NJ: John Wiley & Sons.
   Google Scholar
• Chakraborti, S., P. Van der Laan, and S. T. Bakir. 2001. Nonparametric control charts: An overview and some results. Journal of Quality Technology 33 (3):304–15. 10.1080/00224065.2001.11980081
   Web of Science ®Google Scholar
• Gibbons, J. D., and S. Chakraborti. 2010. Nonparametric statistical inference. Boca Raton, FL: Chapman and Hall/CRC.
   Google Scholar
• Graham, M. A., S. Chakraborti, and S. W. Human. 2011. A nonparametric EWMA sign chart for location based on individual measurements. Quality Engineering 23 (3):227–41. 10.1080/08982112.2011.575745
   Web of Science ®Google Scholar
• Latouche, G., and V. Ramaswami. 1999. Introduction to matrix analytic methods in stochastic modelling. Philadelphia, PA: ASA SIAM.
   Google Scholar
• Li, S., L. Tang, and S. Ng. 2010. Nonparametric CUSUM and EWMA control charts for detecting mean shifts. Journal of Quality Technology 42 (2):209–26. 10.1080/00224065.2010.11917817
   Web of Science ®Google Scholar
• Lu, S. L. 2015. An extended nonparametric exponentially weighted moving average sign control chart. Quality and Reliability Engineering International 31 (1):3–13. 10.1002/qre.1673
   Web of Science ®Google Scholar
• McGilchrist, C. A., and K. D. Woodyer. 1975. Note on a distribution-free CUSUM technique. Technometrics 17 (3):321–5. 10.1080/00401706.1975.10489335
   Web of Science ®Google Scholar
• Montgomery, D. C. 2013. Statistical quality control: A modern introduction. 7th ed. New York, NY: Wiley.
   Google Scholar
• Neuts, M. F. 1981. Matrix-geometric solutions in stochastic models: An algorithmic approach. Mineola, NY: Dover Publications Inc.
   Google Scholar
• Rakitzis, A., P. Castagliola, and P. E. Maravelakis. 2015. A new memory-type monitoring technique for count data. Computers & Industrial Engineering 85:235–47. 10.1016/j.cie.2015.03.021
   Web of Science ®Google Scholar
• Shewhart, W. A. 1926. Quality control charts. Bell System Technical Journal 5 (4):593–603. 10.1002/j.1538-7305.1926.tb00125.x
   Google Scholar
• Weiß, C. H. 2009. EWMA monitoring of correlated processes of Poisson counts. Quality Technology & Quantitative Management 6 (2):137–53. 10.1080/16843703.2009.11673190
   Web of Science ®Google Scholar
• Yang, S.-F., and S. W. Cheng. 2011. A new non-parametric CUSUM mean chart. Quality and Reliability Engineering International 27 (7):867–75. 10.1002/qre.1171
   Web of Science ®Google Scholar
• Yang, S.-F., J. S. Lin, and S. W. Cheng. 2011. A new nonparametric EWMA sign control chart. Expert Systems with Applications 38 (5):6239–43. 10.1016/j.eswa.2010.11.044
   Web of Science ®Google Scholar
• Zou, C., and F. Tsung. 2011. A multivariate sign EWMA control chart. Technometrics 53 (1):84–97. 10.1198/TECH.2010.09095
   Web of Science ®Google Scholar