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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 31, 1999 - Issue 2
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Articles

Detecting When a Monotonically Increasing Mean Has Crossed a Threshold

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Pages 217-234 | Published online: 20 Feb 2018

References

  • Adams, B. M.; Woodall, W. H.; and Lowry, C. A. (1992). “The Use (and Misuse) of False Alarm Probabilities in Control Chart Design”. Frontiers in Statistical Quality Control 4, Physica-Verlag, Heidelberg.
  • Aerne, L. A.; Champ, C. W.; and Rigdon, S. E. (1991). “Evaluation of Control Charts Under Linear Trend”. Communications in StatisticsTheory and Methods 20, pp. 3341–3349.
  • Basseville, M. and Nikiforov, I. (1993). Detection of Abrupt Changes: Theory and Application. Prentice-Hall, Englewood Cliffs, NJ.
  • Bissell, A. F. (1984). “The Performance of Control Charts and Cusums Under Linear Trend”. Applied Statistics 33, pp. 145–151. (Corrigendum, Applied Statistics 35.)
  • Crowder, S. V. (1987). “A Simple Method for Studying Run-Length Distributions of Exponentially Weighted Moving Average Charts”. Technometrics 29, pp. 401–407.
  • Crowder, S. V. (1989). “Design of Exponentially Weighted Moving Average Schemes”. Journal of Quality Technology 21, pp. 155–162.
  • Crowder, S. V. and Hamilton, M. D. (1992). “An EWMA for Monitoring a Process Standard Deviation”. Journal of Quality Technology 24, pp. 12–21.
  • Crowder, S. V.; Hawkins, D. M.; Reynolds, M. R., Jr.; and Yashchin, E. (1997). “Process Control and Statistical Inference”. Journal of Quality Technology 29, pp. 134–139.
  • Gan, F. F. (1991). “EWMA Control Chart Under Linear Drift”. Journal of Statistical Computing and Simulation 38, pp. 181–200.
  • Gan, F. F. (1992). “CUSUM Control Charts Under Linear Drift”. The Statistician 41, pp. 71–84.
  • Gan, F. F. (1993). “The Run Length Distribution of a Cumulative Sum Control Chart”. Journal of Quality Technology 25, pp. 205–215.
  • Gold, M. S. (1989). “The Geometric Approximation to the CUSUM Run Length Distribution”. Biometrika 76, pp. 725–733.
  • Hunter, J. S. (1986). “The Exponentially Weighted Moving Average”. Journal of Quality Technology 18, pp. 203–210.
  • Lorden, G. (1971). “Procedures for Reacting to a Change in Distribution”. Annals of Mathematical Statistics 42, pp. 1897–1908.
  • Lucas, J. M. and Saccucci, M. S. (1990). “Exponentia ly Weighted Moving Average Control Schemes: Properties and Enhancements”. Technometrics 32, pp. 1–12.
  • Manuele, J. (1945). “Control Chart for Determining Tool Wear”. Industrial Quality Control 1, pp. 7–10.
  • Moustakides, G. (1986). “Optimal Stopping Times for Detecting Changes in Distributions”. Annals of Statistics 14, pp. 1379–1387.
  • Narayanan, S. B.; Fang, J.; Bernard, G.; and Atlas, L. (1994). “Feature Representations for Monitoring of Tool Wear”. IEEE Proceedings of the 1994 International Conference on Acoustics, Speech, and Signal Processing 6, pp. 137–140.
  • Page, E. S. (1954). “Continuous Inspection Schemes”. Biometrika 41, pp. 100–115.
  • Quesenberry, C. P. (1988). “An SPC Approach to Compensating a Tool-Wear Process”. Journal of Quality Technology 20, pp. 220–229.
  • Ritov, Y. (1990). “Decision Theoretic Optimality of the CUSUM Procedure”. The Annals of Statistics 18, pp. 1464–1469.
  • Roberts, S. W. (1959). “Control Chart Tests Based on Geometric Moving Averages”. Technometrics 1, pp 239–250.
  • Robertson, T.; Wright, F. T.; and Dykstra, R. L. (1988). Order Restricted Statistical Inference. John Wiley & Sons, New York, NY.
  • Waldmann, K. H. (1986). “Bounds for the Distribution of the Run Length of One-sided and Two-sided CUSUM Quality Control Schemes”. Technometrics 28, pp. 61–67.
  • Woodall, W. H. (1983). “The Distribution of the Run Length of One-sided CUSUM Procedures for Continuous Random Variables”. Technometrics 25, pp. 295–301.
  • Woodall, W. H. and Adams, B. M. (1993). “The Statistical Design of CUSUM Charts”. Quality Engineering 5, pp. 559–570.
  • Yashchin, E. (1993). “Statistical Control Schemes: Methods, Applications and Generalizations”. International Statistical Review 61, pp. 41–66.

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