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Technometrics Volume 34, 1992 - Issue 1
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Original Articles

Analysis of CUSUM and Other Markov-type Control Schemes by Using Empirical Distributions

Emmanuel Yashchin Department of Mathematical Sciences, IBM Corporation, Thomas J. Watson Research Center, Yorktown Heights, NY, 10598
Pages 54-63 | Published online: 12 Mar 2012

REFERENCES

  • Bagshaw , M. and Johnson , R. A. 1975 . “The Effect of Serial Correlation on the Performance of CUSUM Tests II,” . Tech-nometrics , 17 : 73 – 80 .
  • British Standards Institution . 1979–1981 . Guide to Data Analysis and Quality Control Using CUSUM Techniques, Parts 1–4 London : Author. . BS 5703
  • Brooks , D. and Evans , D. A. 1972 . “An Approach to the Probability Distribution of CUSUM Run Length,” . Biometrika , 59 : 539 – 549 .
  • DiCiccio , T. and Tibshirani , R. 1987 . “Bootstrap Confidence Intervals and Bootstrap Approximations,” . Journal of the American Statistical Association , 82 : 163 – 170 .
  • Efron , B. 1982 . The Jackknife, the Bootstrap and Other Resampling Plans Vol. 38 , Philadelphia : Society for Industrial and Applied Mathematics. . CBMS-NSF Regional Conference Series in Applied Mathematics
  • Efron , B. 1987 . “Better Bootstrap Confidence Intervals,” . Journal of the American Statistical Association , 82 : 171 – 185 .
  • Goel , A. L. and Wu , S. M. 1971 . “Determination of ARL and a Contour Nomogram for CUSUM Charts to Control Normal Mean,” . Technometrics , 13 : 221 – 230 .
  • Kemp , K. 1961 . “The Average Run Length of the Cumulative Sum Chart When a V-mask Is Used,” . Journal of the Royal Statistical Society, Ser. B , 23 : 149 – 153 .
  • Page , E. 1954 . “Continuous Inspection Schemes,” . Biometrika , 41 : 100 – 115 .
  • Traub , J. F. , Wasilkowski , G. W. and Wozniakowski , H. 1989 . Information-Based Complexity Boston : Academic Press. .
  • Waldmann , K. H. 1986 . “Bounds for the Distribution of the Run Length of One-Sided and Two-sided CUSUM Quality Control Schemes,” . Technometrics , 28 : 61 – 67 .
  • Woodall , W. H. 1983 . “The Distribution of the Run Length of One-Sided CUSUM Procedures for Continuous Random Variables,” . Technometrics , 25 : 295 – 300 .
  • Woodward , R. and Goldsmith , P. L. 1964 . Cumulative Sum Techniques London : Oliver & Boyd. . ICI Monograph 3
  • Yashchin , E. 1985a . “On a Unified Approach to the Analysis Of Two-sided Cumulative Sum Schemes With Headstarts,” . Advances in Applied Probability , 17 : 562 – 593 .
  • Yashchin , E. 1989a . “Analysis of CUSUM and Other Markov Type Control Schemes by Using Empirical Distributions,” Yorktown Heights , NY : IBM. . Research Report 14515
  • Yashchin , E. 1989b . “Performance of CUSUM Control Schemes for Serially Correlated Observations,” Yorktown Heights , NY : IBM. . Research Report 15139

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