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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 40, 2008 - Issue 2
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Articles

A Weighted CUSUM Chart for Detecting Patterned Mean Shifts

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Pages 194-213 | Published online: 21 Nov 2017

References

  • Alwan, L. C. and Roberts, H. V. (1988). “Time Series Modeling for Statistical Process Control”. Journal of Business & Economic Statistics 6, pp. 87–95.
  • Apley, D. W. and Shi, J. J. (1999). “The GLRT for Statistical Process Control of Autocorrelated Processes”. IIE transactions 31, pp. 1123–1134.
  • Basseville, M. and Nikiforov, I. V. (1993). Detection of Abrupt Changes: Theory and Application. Prenctice Hall, New Jersey.
  • Box, G. E. P. and Jenkins, G. M. (1976), Time Series Analysis Forecasting and Control. Holden-Day, San Francisco, CA.
  • Box, G. E. P. and Kramer, T. (1992). “Statistical Process Monitoring and Feedback Adjustment–A Discussion”. Technometrics 34, pp. 251–285.
  • Box, G. E. P. and Ramírez, J. G. (1992). “Cumulative Score Charts”. Quality and Reliability Engineering International 8, pp. 17–27.
  • Brook, D. and Evans, D. A. (1972). “An Approach to the Probability Distribution of CUSUM Run Length”. Biometrika 59, pp. 539–549.
  • Hu, S. J. and Roan, C. (1996). “Change Patterns in the Time Series-Based Control Charts”. Journal of Quality Technology, 28, 302–312.
  • Hunter, J. S. (1986). “The Exponentially Weighted Moving Average”. Journal of Quality Technology 18, pp. 203–210.
  • Jiang, W. (2004). “Multivariate Control Charts for Monitoring Autocorrelated Processes”. Journal of Quality Technology 36, pp. 367–379.
  • Jiang, W. and Tsui, K.-L. (2002). “SPC Monitoring of MMSE- and PI-Controlled Processes”. Journal of Quality Technology 34, pp. 384–398.
  • Lin, W. S. and Adams, B. M. (1996). “Combined Control Charts for Forecast-Based Monitoring Schemes”. Journal of Quality Technology 28, pp. 289–301.
  • Lu, C. W. and Reynolds, M. R. (1999). “EWMA Control Charts for Monitoring the Mean of Autocorrelated Processes”. Journal of Quality Technology 31, pp. 166–188.
  • Lu, C. W. and Reynolds, M. R. (2001). “CUSUM Charts for Monitoring An Autocorrelated Process”. Journal of Quality Technology 33, pp. 316–334.
  • Lucas, J. M. and Crosier, R. B. (1982). “Fast Initial Response for CUSUM Quality-Control Schemes: Give Your CUSUM a Head Start”. Technometrics 24, 199–205.
  • Lucas, J. M. and Saccucci, M. S. (1990). “Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements”. Technometrics 32, pp. 1–12.
  • Luceño, A. (1999). “Average Run Length and Run Length Probability Distributions for Cuscore Charts to Control Normal Mean”. Computational Statistics & Data Analysis 32, pp. 177–195.
  • Luceño, A. (2004). “Cuscore Charts to Detect Level Shifts in Autocorrelated Noise”. Quality Technology and Quantitative Management 1, pp. 27–45.
  • Moustakides, G. V. (1986). “Optimal Stopping Times for Detecting Changes in Distributions”. Annals of Statistics 14, pp. 1379–1387.
  • Runger, G. C. and Prabhu, S. S. (1996). “A Markov Chain Model for the Multivariate Exponentially Weighted Moving Averages Control Chart”. Journal of the American Statistical Association 91, pp. 1701–1706.
  • Runger, G. C. and Testik, M. (2003). “Control Charts for Monitoring Fault Signatures: Cuscore Versus GLR”. Quality and Reliability Engineering International 19, pp. 387–396.
  • Shewhart, W. A. (1931). Economic Control of Quality of Manufactured Product. Van Nostrand, New York, NY.
  • Shu, L. and Jiang, W. (2006). “A Markov Chain Model for the Adaptive CUSUM Control Chart”. Journal of Quality Technology 38, pp. 135–147.
  • Sparks, R. S. (2000). “CUSUM Charts for Signaling Varying Location Shifts”. Journal of Quality Technology 32, pp. 157–171.
  • Superville C. R. and Adams B. M. (1994). “An Evaluation of Forecast-Based Quality Control Schemes”. Communications in Statistics: Simulation and Computation 23, pp. 645–661.
  • Shao, Y. E. (1998). “Integrated Application of the Cumulative Score Control Chart and Engineering Process Control”. Statistic Sinica 8, pp. 239–252.
  • Tsung, F. and Tsui, K.-L. (2003). “A Mean Shift Pattern Study on Integration of SPC and APC for Process Monitoring”. IIE Transactions 35, pp. 231–242.
  • Vander Wiel, S. A. (1996). “Monitoring Processes that Wander Using Integrated Moving Average Models”. Technometrics 38, pp. 139–151.
  • Vander Wiel, S. A.; Tucker, W. T.; Faltin, F. W. and Doganaksoy, N. (1992). “Algorithmic Statistical Process Control: Concepts and An Application”. Technometrics 34, pp. 286–297.
  • Wardell, D. G.; Moskowitz, H.; and Plante, R. D. (1994). “Run-Length Distributions of Special-Cause Control Charts for Correlated Observations”. Technometrics 36, pp. 3–17.
  • Yashchin, E. (1989). “Weighted Cumulative Sum Techniques”. Technometrics 31, pp. 321–338.
  • Yashchin, E. (1993). “Performance of CUSUM Control Schemes for Serially Correlated Observations”. Technometrics 35, pp. 37–52.
  • Yashchin, E. (1995). “Estimating the Current Mean of a Process Subject to Abrupt Changes”. Technometrics 37, pp. 311–323.

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