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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 24, 1992 - Issue 1
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Articles

A Fast Accurate Approximation for Average Run Lengths of CUSUM Control Charts

Douglas M. HawkinsUniversity of Minnesota, St. Paul, MN55108View further author information
Pages 37-43 | Published online: 21 Feb 2018

References

  • Bradu, D. (1984). “Response Surface Model Diagnosis in Two-Way Tables”. Communications in Statistics A13, pp. 3059–3103.
  • Brook, D. and Evans, D. A. (1972). “An Approach to the Probability Distribution of Cusum Run Length”. Biometrika 59, pp. 539–549.
  • Duncan, A. J. (1986). Quality Control and Industrial Statistics, 5th ed., Irwin, Homewood, IL.
  • Fellner, W. H. (1990). “Algorithm AS 258. Average Run Length for Cumulative Sum Schemes”. Applied Statistics 39, pp. 402–412.
  • Gan, F. F. (1991). “An Optimal Design of Cusum Quality Control Charts”. Journal of Quality Technology 23, pp. 279–286.
  • Hawkins, D. M. (1981). “A Cusum for a Scale Parameter”. Journal of Quality Technology 13, pp. 228–231.
  • Johnson, N. L. and Leone, F. (1962). “Cumulative Sum Control Charts”. Industrial Quality Control 18 (June), pp. 15–21; 19 (July), pp. 29–36; 19 (August), pp. 22–28.
  • Lucas, J. M. (1976). “The Design and Use of V-Mask Control Schemes”. Journal of Quality Technology 8, pp. 1–11.
  • Lucas, J. M. and Crosier, R. B. (1982). “Fast Initial Response for CUSUM Quality Control Schemes: Give Your CUSUM a Head Start”. Technometrics 24, pp. 199–205.
  • Mandel, J. (1969). “The Partitioning of Interaction in Analysis of Variance”. Journal of Research, National Bureau of Standards 73B(4), pp. 309–327.
  • Ryan, T. P. (1989). Statistical Methods for Quality Improvement. John Wiley & Sons, New York, NY.
  • Van Dobben de Bruyn, C. S. (1968). Cumulative Sum Tests: Theory and Practice. Griffin, London, England.
  • Vance, L. C. (1986). “Average Run Lengths of Cumulative Sum Control Charts for Controlling Normal Means”. Journal of Quality Technology 18, pp. 189–193.
  • Woodall, W. H. (1983). “The Distribution of the Run Length of One-Sided CUSUM Procedures for Continuous Random Variables”. Technometrics 25, pp. 295–301.

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