662
Views
30
CrossRef citations to date
0
Altmetric
Original Articles

Statistical Process Control Using a Dynamic Sampling Scheme

&
Pages 325-335 | Received 01 Dec 2012, Published online: 24 Jul 2014

REFERENCES

  • Benjamini, Y., and Kling, Y. (1999), “A Look at Statistical Process Control Through the P-Value,” Technical Report RPCSOR-99-08, Tel Aviv University, Israel.
  • Benjamini, Y., and Kling, Y. (2002), “Aspects of Multiplicity in Statistical Process Control,” available at http://www.businessken.com/papers/.
  • Benjamini, Y., and Kling, Y. (2007), “The P-Valued Chart-A Unified Approach to Statistical Process Control Chart Presentation,” available at http://www.businessken.com/papers/.
  • Box, G. E.P., and Cox, D.R. (1964), “An Analysis of Transformations,” Journal of the Royal Statistical Society, Series B, 26, 211–252.
  • Brook, D., and Evans, D.A. (1972), “An Approach to the Probability Distribution of CUSUM Run Length,” Biometrika, 59, 539–549.
  • Chatterjee, S., and Qiu, P. (2009), “Distribution-Free Cumulative Sum Control Charts Using Bootstrap-Based Control Limits,” The Annals of Applied Statistics, 3, 349–369.
  • Chen, G., Cheng, S., and Xie, H. (2001), “Monitoring Process Mean and Variability With One EWMA Chart,” Journal of Quality Technology, 33, 223–233.
  • Chen, G., and Zhang, L. (2005), “An Extended EWMA Mean Chart,” Quality Technology and Quantitative Management, 2, 39–52.
  • Costa, A. F.B. (1998), “Joint and R Charts With Variable Parameters,” IIE Transactions, 30, 505–514.
  • Efron, B. (1979), “Bootstrap Methods: Another Look at the Jackknife,” The Annals of Statistics, 7, 1–26.
  • Efron, B., and Tibshirani, R.J. (1993), An Introduction to the Bootstrap, Boca Raton, FL: Chapman and Hall.
  • Grigg, O.A., and Spiegelhalter, D.J. (2008), “An Empirical Approximation to the Null Unbounded Steady-State Distribution of the Cumulative Sum Statistic,” Technometrics, 50, 501–511.
  • Hawkins, D.M., and Olwell, D.H. (1998), Cumulative Sum Charts and Charting for Quality Improvement, Berlin: Springer.
  • Li, Y., and Tsung, F. (2009), “False Discovery Rate-Adjusted Charting Schemes for Multistage Process Monitoring and Fault Identification,” Technometrics, 51, 186–205.
  • Li, Z., Qiu, P., Chatterjee, S., and Wang, Z. (2013), “Using P-Values To Design Statistical Process Control Charts,” Statistical Papers, 54, 523–539.
  • Lorden, G. (1971), “Procedures for Reacting to a Change in Distribution,” The Annals of Mathematical Statistics, 42, 1897–1908.
  • Lucas, J.M., and Saccucci, M.S. (1990), “Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements,” Technometrics, 32, 1–12.
  • Luo, Y., Li, Z., and Wang, Z. (2009), “Adaptive CUSUM Control Chart With Variable Sampling Intervals,” Computational Statistics and Data Analysis, 53, 2693–2701.
  • Montgomery, D.C. (2007), “SPC Research–Current Trends,” Quality and Reliability Engineering International, 23, 515–516.
  • Montgomery, D.C. (2009), Introduction to Statistical Quality Control (6th ed.), New York: Wiley.
  • Moustakides, G.V. (1986), “Optimal Stopping Time for Detecting Changes in Distributions,” The Annals of Statistics, 14, 1379–1387.
  • Page, E.S. (1954), “Continuous Inspection Schemes,” Biometrika, 42, 243–254.
  • Pollack, M. (1985), “Optimal Detection of a Change in Distribution,” The Annals of Statistics, 13, 206–227.
  • Qiu, P. (2014), Introduction to Statistical Process Control, Boca Raton, FL: Chapman & Hall/CRC.
  • Qiu, P., and Hawkins, D. (2001), “A Rank Based Multivariate CUSUM Procedure,” Technometrics, 43, 120–132.
  • Qiu, P., and Li, Z. (2011a), “Distribution-Free Monitoring of Univariate Processes,” Statistics and Probability Letters, 81, 1833–1840.
  • Qiu, P., and Li, Z. (2011b), “On Nonparametric Statistical Process Control Of Univariate Processes,” Technometrics, 53, 390–405.
  • Reynolds, M.R. Jr, Amin, R. W., and Arnold, J.C. (1990), “CUSUM Charts With Variable Sampling Intervals,” Technometrics, 32, 371–384.
  • Reynolds, M.R. Jr, and Arnold, J. C., (2001), “EWMA Control Charts With Variable Sample Sizes and Variable Sampling Intervals,” IIE Transactions, 33, 511–530.
  • Reynolds, M.R. Jr, Arnold, J. C., and Baik, J.W. (1996), “Variable Sampling Interval X Charts in the Presence of Correlation,” Journal of Quality Technology, 28, 12–30.
  • Roberts, G.C. (1959), “Control Chart Tests Based on Geometric Moving Average,” Technometrics, 1, 239–250.
  • Shewhart, W.A. (1931), Economic Control of Quality of Manufactured Product, New York: Van Nostrand.
  • Shu, L.J., and Jiang, W. (2006), “A Markov Chain Model for the Adaptive CUSUM Control Chart,” Journal of Quality Technology, 38, 135–147.
  • Siegmund, D. (1985), Sequential Analysis: Tests and Confidence Intervals, New York: Spring-Verlag.
  • Sparks, R.S. (2000), “CUSUM Charts for Signalling Varying Locations Shifts,” Journal of Quality Technology, 32, 157–171.
  • Stoumbos, Z.G., Mittenthal, J., and Runger, G.C. (2011), “Steady-State-Optimal Adaptive Control Charts Based on Variable Sampling Intervals,” Stochastic Analysis and Applications, 19, 1025–1057.
  • Weisberg, S. (2005), Applied Linear Regression (3rd ed.), New York: Wiley.
  • Woodall, W.H. (2000), “Controversies and Contradictions in Statistical Process Control,” Journal of Quality Technology, 32, 341–350.
  • Wu, Z., Zhang, S., and Wang, P. (2007), “A CUSUM Scheme With Variable Sample Sizes and Sampling Intervals for Monitoring the Process Mean and Variance,” Quality and Reliability Engineering International, 23, 157–170.
  • Yeh, A.B., Lin, D. K.-J., and Venkataramani, C. (2004), “Unified CUSUM Control Charts for Monitoring Process Mean and Variability,” Quality Technology and Quantitative Management, 1, 65–85.

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.