2,074
Views
62
CrossRef citations to date
0
Altmetric
Original Articles

A Distribution-Free Multivariate Control Chart

, &
Pages 448-459 | Received 01 Sep 2013, Published online: 11 Oct 2016

References

  • Bai, Z., Saranadasa, H. (1996), Effect of High Dimension: By an Example of a Two Sample Problem, Statistica Sinica, 6, 311–329.
  • Bickel, P.J. (1969), A Distribution Free Version of the Smirnov Two Sample Test in the P-Variate Case, The Annals of Mathematical Statistics, 40, 1–23.
  • Boone, J.M., Chakraborti, S. (2012), Two Simple Shewhart-Type Multivariate Nonparametric Control Charts, Applied Stochastic Models in Business and Industry, 28, 130–140.
  • Capizzi, G., Masarotto, G. (2003), An Adaptive Exponentially Weighted Moving Average Control Chart, Technometrics, 45, 199–207.
  • Chakraborti, S., Van Der Laan, P., Bakir, S.T. (2001), Nonparametric Control Charts: An Overview and Some Results, Journal of Quality Technology, 33, 304–315.
  • Champ, C.W., Jones-Farmer, L.A., Rigdon, S.E. (2005), Properties of the T2 Control Chart When Parameters Are Estimated, Technometrics, 47, 437–445.
  • Chatterjee, S., Qiu, P. (2009), Distribution Free Cumulative Sum Control Charts Using Bootstrap-Based Control Limits, Annals of Applied Statistics, 3, 349–369.
  • Crosier, R.B. (1988), Multivariate Generalizations of Cumulative Sum Quality-Control Schemes, Technometrics, 30, 291–303.
  • Deng, H., Runger, G.C., Tuv, E. (2012), System Monitoring With Real-Time Contrasts, Journal of Quality Technology, 44, 9–27.
  • Feng, L., Zou, C., Wang, Z., Chen, B. (2013), Rank-Based Score Tests for High-Dimensional Regression Coefficients, Electronic Journal of Statistics, 7, 2131–2349.
  • Hawkins, D.M. (1991), Multivariate Quality Control Based on Regression-Adjusted Variables, Technometrics, 33, 61–75.
  • Hawkins, D.M., Maboudou-Tchao, E.M. (2007), Self-Starting Multivariate Exponentially Weighted Moving Average Control Charting, Technometrics, 49, 199–209.
  • Hawkins, D.M., and Olwell, D. (1998), Cumulative Sum Charts and Charting for Quality Improvement, Berlin: Springer Verlag.
  • Hawkins, D.M., Qiu, P., Kang, C.W. (2003), The Changepoint Model for Statistical Process Control, Journal of Quality Technology, 35, 355–366.
  • Holland, M.D., Hawkins, D.M. (2014), A Control Chart Based on a Nonparametric Multivariate Change-Point Model, Journal of Quality Technology, 46, 63–77.
  • Liu, R.Y. (1995), Control Charts for Multivariate Processes, Journal of the American Statistical Association, 90, 1380–1387.
  • Lowry, C.A., Woodall, W.H., Champ, C.W., Rigdon, S.E. (1992), A Multivariate Exponentially Weighted Moving Average Control Chart, Technometrics, 34, 46–53.
  • Margavio, T.M., Conerly, M.D., Woodall, W.H., Drake, L.G. (1995), Alarm Rates for Quality Control Charts, Statistics & Probability Letters, 24, 219–224.
  • Oja, H. (2010), Multivariate Nonparametric Methods with R, New York: Springer.
  • Pignatiello, J.J., Runger, G.C. (1990), Comparisons of Multivariate Cusum Charts, Journal of Quality Technology, 22, 173–186.
  • Qiu, P. (2008), Distribution-Free Multivariate Process Control Based on Log-Linear Modeling, IIE Transactions, 40, 664–677.
  • ——— (2014), Introduction to Statistical Process Control, Boca Raton, FL: CRC Press.
  • Qiu, P., Hawkins, D. (2001), A Rank-Based Multivariate CUSUM Procedure, Technometrics, 43, 120–132.
  • Quesenberry, C.P. (1997), SPC Methods for Quality Improvement, New York: Wiley.
  • Ross, G.J., Tasoulis, D.K., Adams, N.M. (2011), Nonparametric Monitoring of Data Streams for Changes in Location and Scale, Technometrics, 53, 379–389.
  • Stoumbos, Z.G., Marion, R. Reynolds, Ryan, T.P., Woodall, W.H. (2000), The State of Statistical Process Control as We Proceed into the 21st Century, Journal of the American Statistical Association, 95, 992–998.
  • Stoumbos, Z.G., Sullivan, J.H. (2002), Robustness to Non-Normality of the Multivariate EWMA Control Chart, Journal of Quality Technology, 34, 260–276.
  • Sullivan, J.H., Jones, L.A. (2002), A Self-Starting Control Chart for Multivariate Individual Observations, Technometrics, 44, 24–33.
  • Sun, R., Tsung, F. (2003), A Kernel-Distance-Based Multivariate Control Chart Using Support Vector Methods, International Journal of Production Research, 41, 2975–2989.
  • Tsung, F., and Wang, K. (2010), “Adaptive Charting Techniques: Literature Review and Extensions,” in Frontiers in Statistical Quality Control 9, eds. Lenz, H. J., Wilrich, P.-Th., and Schmid, W., Berlin: Physica-Verlag, pp. 19–36.
  • Woodall, W.H., Montgomery, D. (2013), Some Current Directions in the Theory and Application ofStatistical Process Monitoring, Journal of Quality Technology, 46, 79--94.
  • Zamba, K.D., Hawkins, D.M. (2006), A Multivariate Change-Point Model for Statistical Process Control, Technometrics, 48, 539–549.
  • Zantek, P.F. (2006), Design of Cumulative Sum Schemes for Start-up Processes and Short Runs, Journal of Quality Technology, 38, 365–375.
  • Zhou, C., Zou, C., Zhang, Y., Wang, Z. (2009), Nonparametric Control Chart Based on Change-Point Model, Statistical Papers, 50, 13–28.
  • Zhou, Q., Zou, C., Wang, Z., Jiang, W. (2012), Likelihood-Based EWMA Charts for Monitoring Poisson Count Data with Time-Varying Sample Sizes, Journal of the American Statistical Association, 107, 1049–1062.
  • Zou, C., Jiang, W., Tsung, F. (2011), A Lasso-Based Diagnostic Framework for Multivariate Statistical Process Control, Technometrics, 53, 297–309.
  • Zou, C., Qiu, P. (2009), Multivariate Statistical Process Control Using Lasso, Journal of the American Statistical Association, 104, 1586–1596.
  • Zou, C., Tsung, F. (2010), Likelihood Ratio-Based Distribution-Free EWMA Control Charts, Journal of Quality Technology, 42, 174–196.
  • ——— (2011), A Multivariate Sign EWMA Control Chart, Technometrics, 53, 84–97.
  • Zou, C., Wang, Z., Tsung, F. (2012), A Spatial Rank-Based Multivariate EWMA Control Chart, Naval Research Logistics, 59, 91–110.

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.