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Original Articles

Multivariate CUSUM and EWMA Control Charts for Skewed Populations Using Weighted Standard Deviations

Pages 921-936 | Received 20 Jan 2006, Accepted 05 Jan 2007, Published online: 25 Jun 2007

References

  • Chang , Y. S. , Bai , D. S. ( 2004 ). A multivariate T 2 control chart for skewed populations using weighted standard deviations . Qual. Reliabil. Eng. Int. 20 : 31 – 46 .
  • Cheng , A. Y. , Liu , R. Y. , Luxh⊘j , J. T. ( 2000 ). Monitoring multivariate aviation safety data by data depth: control charts and threshold systems . IIE Trans. 32 : 861 – 872 .
  • Coleman , D. E. ( 1997 ). Individual contributions in a discussion on satistically-based process monitoring and control . J. Qual. Technol. 29 : 148 – 149 .
  • Crosier , R. B. ( 1988 ). Multivariate generalizations of cumulative sum quality-control schemes . Technometrics 30 : 291 – 303 .
  • Hawkins , D. M. (1991). Multivariate quality control based on regression-adjusted variables. Technometrics 33:61–75.
  • Healy , J. D. ( 1987 ). A note on multivariate CUSUM procedures . Technometrics 29 : 409 – 412 .
  • IMSL Library . ( 1990 ). Reference Manual . Houston : Visual Numerics, Inc .
  • Kotz , S. , Balakrishnan , N. , Johnson , N. L. ( 2000 ). Continuous Multivariate Distributions . Vol. 1 . , 2nd ed. New York : John Wiley & Sons .
  • Liu , R. Y. ( 1995 ). Control charts for multivariate process . J. Amer. Statist. Assoc. 90 : 1380 – 1387 .
  • Lowry , C. A. , Montgomery , D. C. ( 1995 ). A review of multivariate control charts . IIE Trans. 27 : 800 – 810 .
  • Lowry , C. A. , Woodall , W. H. , Champ , C. W. , Rigdon , S. E. ( 1992 ). A multivariate exponentially weighted moving average control schemes: properties and enhancements (with discussion) . Technometrics 34 : 46 – 53 .
  • Mason , R. L. , Champ , C. W. , Tracy , N. D. , Wierda , S. J. , Young , J. C. ( 1997 ). Assessment of multivariate process control techniques . J. Qual. Technol. 29 : 140 – 143 .
  • Pignatiello , J. J. , Runger , G. C. ( 1990 ). Comparisons of multivariate CUSUM charts . J. Qual. Technol. 22 : 173 – 186 .
  • Qiu , P. , Hawkins , D. ( 2001 ). A rank-based multivariate CUSUM procedure . Technometrics 43 : 120 – 132 .
  • Qiu , P. , Hawkins , D. ( 2003 ). A nonparametric multivariate cumulative sum procedure for detecting shifts in all directions . J. Roy. Statist. Soc. D 52 : 151 – 164 .
  • Stoumbos , Z. G. , Jones , L. A. ( 2000 ). On the properties and design of individuals control charts based on simplicial depth . Nonlinear Studies 7 : 147 – 178 .
  • Stoumbos , Z. G. , Sullivan , J. H. ( 2002 ). Robustness to non-normality of the multivariate EWMA control chart . J. Qual. Technol. 34 : 260 – 276 .
  • Stoumbos , Z. G. , Jones , L. A. , Woodall , W. H. , Reynolds , M. R. Jr. ( 2000 ). On nonparametric multivariate control charts based on data depth . In: Lenz , J. H. , Wilrich P. , eds. Frontier in Statistical Quality Control . Vol. 6 . Heidelberg : Springer .
  • Testik , M. C. , Runger , G. C. , Borror , C. M. ( 2003 ). Robustness properties of multivariate EWMA control charts . Qual. Reliabil. Eng. Int. 19 : 31 – 38 .
  • Woodall , W. H. , Ncube , M. M. ( 1985 ). A multivariate CUSUM quality-control procedures . Technometrics 27 : 285 – 292 .

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