Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 53, 2021 - Issue 4
702
Views
35
CrossRef citations to date
0
Altmetric
Articles

A nonparametric CUSUM chart for monitoring multivariate serially correlated processes

&

References

  • Agresti, A. 2013. Categorical data analysis. 3rd ed. New York: John Wiley & Sons.
  • Apley, D. W., and H. C. Lee. 2008. Robustness comparison of exponentially weighted moving-average charts on autocorrelated data and on residuals. Journal of Quality Technology 40 (4):428–47. doi: 10.1080/00224065.2008.11917747.
  • Apley, D. W., and F. Tsung. 2002. The autoregressive T2 chart for monitoring univariate autocorrelated processes. Journal of Quality Technology 34 (1):80–96. doi: 10.1080/00224065.2002.11980131.
  • Beran, J. 1992. Statistical methods for data with long-range dependence. Statistical Science 7 (4):404–16. doi: 10.1214/ss/1177011122.
  • Boone, J. M., and S. Chakraborti. 2012. Two simple Shewhart-type multivariate nonparametric control charts. Applied Stochastic Models in Business and Industry 28 (2):130–40. doi: 10.1002/asmb.900.
  • Chatterjee, S., and P. Qiu. 2009. Distribution-free cumulative sum control charts using bootstrap-based control limits. The Annals of Applied Statistics 3 (1):349–69. doi: 10.1214/08-AOAS197.
  • Chen, N., X. Zi, and C. Zou. 2016. A distribution-free multivariate control chart. Technometrics 58 (4):448–59. doi: 10.1080/00401706.2015.1049750.
  • Crosier, R. B. 1988. Multivariate generalizations of cumulative sum quality-control schemes. Technometrics 30 (3):291–303. doi: 10.1080/00401706.1988.10488402.
  • Hawkins, D. M. 1987. Self-starting cusums for location and scale. The Statistician 36 (4):299–315. doi: 10.2307/2348827.
  • Hawkins, D. M. 1991. Multivariate quality control based on regression-adjusted variables. Technometrics 33 (1):61–75. doi: 10.2307/1269008.
  • Hawkins, D. M., and D. H. Olwell. 1998. Cumulative sum charts and charting for quality im-provement. New York: Springer-Verlag.
  • Healy, J. D. 1987. A note on multivariate CUSUM procedure. Technometrics 29 (4):409–12. doi: 10.1080/00401706.1987.10488268.
  • Holland, M. D., and D. M. Hawkins. 2014. A control chart based on a nonparametric multivariate change-point model. Journal of Quality Technology 46 (1):63–77. doi: 10.1080/00224065.2014.11917954.
  • Kalgonda, A. A., and S. R. Kulkarni. 2004. Multivariate quality control chart for autocorrelated processes. Journal of Applied Statistics 31 (3):317–27. doi: 10.1080/0266476042000184000.
  • Lahiri, S. N. 2003. Resampling methods for dependent data. New York: Springer.
  • Li, J., and P. Qiu. 2016. Nonparametric dynamic screening system for monitoring correlated longitudinal data. IIE Transactions 48 (8):772–86. doi: 10.1080/0740817X.2016.1146423.
  • Li, W., and P. Qiu. 2020. A general charting scheme for monitoring serially correlated data with short-memory dependence and nonparametric distributions. IISE Transactions 52 (1):61–74. doi: 10.1080/24725854.2018.1557794.
  • Liu, R. Y. 1995. Control charts for multivariate processes. Journal of the American Statistical Association 90 (432):1380–7. doi: 10.1080/01621459.1995.10476643.
  • Lowry, C. A., W. H. Woodall, C. W. Champ, and S. E. Rigdon. 1992. Multivariate exponentially weighted moving average control chart. Technometrics 34 (1):46–53. doi: 10.2307/1269551.
  • May, G., and C. Spanos. 2006. Fundamentals of semiconduct or manufacturing and process control. Hoboken, NJ: Wiley.
  • Montgomery, D. C. 2012. Introduction to statistical quality control. New York: John Wiley & Sons.
  • Qiu, P. 2008. Distribution-free multivariate process control based on Log-liner modeling. IIE Transactions 40 (7):664–77. doi: 10.1080/07408170701744843.
  • Qiu, P. 2014. Introduction to statistical process control. Boca Raton, FL: Chapman Hall/CRC.
  • Qiu, P. 2018. Some perspectives on nonparametric statistical process control. Journal of Quality Technology 50 (1):49–65. doi: 10.1080/00224065.2018.1404315.
  • Qiu, P. 2020. Big data? Statistical process control can help! The American Statistician. doi: 10.1080/00031305.2019.1700163.
  • Qiu, P., and D. M. Hawkins. 2001. A rank based multivariate CUSUM procedure. Technometrics 43 (2):120–32. doi: 10.1198/004017001750386242.
  • Qiu, P., and D. M. Hawkins. 2003. A nonparametric multivariate CUSUM procedure for detecting shifts in all directions. Journal of the Royal Statistical Society: Series D (the Statistician) 52 (2):151–64. doi: 10.1111/1467-9884.00348.
  • Qiu, P., W. Li, and J. Li. 2020. A new process control chart for monitoring short-range serially correlated data. Technometrics 62 (1):71–83. doi: 10.1080/00401706.2018.1562988.
  • Runger, G. 2002. Assignable causes and autocorrelation: Control charts for observations or residuals? Journal of Quality Technology 34 (2):165–70. doi: 10.1080/00224065.2002.11980143.
  • Tracy, N. D., J. C. Young, and R. L. Mason. 1992. Multivariate control charts for individual observations. Journal of Quality Technology 24 (2):88–95. doi: 10.1080/00224065.1992.12015232.
  • Wang, K., and W. Jiang. 2009. High-dimensional process monitoring and fault isolation viavariable selection. Journal of Quality Technology 41 (3):247–58. doi: 10.1080/00224065.2009.11917780.
  • You, L., and P. Qiu. 2019. Fast computing for dynamic screening systems when analyzing correlated data. Journal of Statistical Computation and Simulation 89 (3):379–94. doi: 10.1080/00949655.2018.1552273.
  • Zou, C., and P. Qiu. 2009. Multivariate statistical process control using LASSO. Journal of the American Statistical Association 104 (488):1586–96. doi: 10.1198/jasa.2009.tm08128.
  • Zou, C., and F. Tsung. 2011. A multivariate sign EWMA control chart. Technometrics 53 (1):84–97. doi: 10.1198/TECH.2010.09095.
  • Zou, C., Z. Wang, and F. Tsung. 2012. A spatial rank-based multivariate EWMA control chart. Naval Research Logistics (NRL) 59 (2):91–110. doi: 10.1002/nav.21475.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.