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Original Articles

Performance comparison of some likelihood ratio-based statistical surveillance methods

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Pages 783-798 | Published online: 19 Jun 2008

References

  • Box , G. E.P. and Luceño , A. 1997 . Statistical Control by Monitoring and Feedback Adjustment , New York , NY : John Wiley & Sons, Inc .
  • Brooks , D. and Evans , D. A. 1972 . An approach to the probability distribution of CUSUM run length . Biometrika , 59 : 539 – 549 .
  • Crosier , R. B. 1986 . “ A new two-sided cumulative sum quality control scheme ” . In Technometrics Vol. 28 , 167 – 194 .
  • Crowder , S. V. 1987a . Average run lengths of exponentially weighted moving average control charts . J. Qual. Technol. , 29 : 161 – 164 .
  • Crowder , S. V. 1987b . A simple method for studying run-length distributions of exponentially weighted moving average control charts . Technometrics , 29 : 401 – 407 .
  • Domangue , R. and Patch , S. C. 1991 . Some omnibus exponentially weighted moving average statistical process control schemes . Technometrics , 33 : 299 – 313 .
  • Fraker , S. E. , Woodall , W. H. and Mousavi , S. 2008 . Performance metrics for surveillance schemes . Qual. Eng. , in press
  • Frisén , M. 1992 . Evaluations of methods for statistical surveillance . Statist. Med. , 11 : 1489 – 1502 .
  • Frisén , M. and Sonesson , C. 2006 . Optimal surveillance based on exponentially weighted moving average . Sequen. Anal. , 25 : 379 – 403 .
  • Frisén , M. and Wessman , P. 1999 . Evaluations of likelihood ratio methods for surveillance. Differences and robustness . Commun. Statist. Simulat. Comput. , 28 : 597 – 622 .
  • Hawkins , D. M. and Zamba , K. D. 2003–04 . On small shifts in quality control . Qual. Eng. , 16 : 143 – 149 .
  • Järpe , E. and Wessman , P. 2000 . Some power aspects of methods for detecting different shifts in the mean . Commun. Statist. Simulat. Comput. , 29 : 633 – 646 .
  • Kenett , R. S. and Pollack , M. 1986 . A semi-parametric approach to testing for reliability growth with an application to software systems . IEEE Trans , : 304 – 311 . Reliability R-35
  • Kenett , R. S. and Pollack , M. 1996 . Data-analytic aspects of the Shiryayev–Roberts control chart: surveillance of a non-homogeneous poisson process . J. Appl. Statist. , 23 : 125 – 137 .
  • Kenett , R. S. and Zacks , S. 1998 . Modern Industrial Statistics: Design and Control of Quality and Reliability , San Francisco : Duxbury Press .
  • Lowry , C. A. and Montgomery , D. C. 1995 . A review of multivariate control charts . IIE Trans. , 27 : 800 – 810 .
  • Lowry , C. A. , Woodall , W. H. , Champ , C. W. and Rigdon , S. E. 1992 . A multivariate exponentially weighted moving average control chart . Technometrics , 34 : 46 – 53 .
  • Lucas , J. M. 1982 . Combined Shewhart-CUSUM quality control schemes . J. Qual. Technol. , 14 : 51 – 59 .
  • Lucas , J. M. and Saccucci , M. S. 1990 . Exponentially weighted moving average control schemes: properties and enhancements (with discussion) . Technometrics , 32 : 1 – 29 .
  • Luceño , A. and Cofiño , A. 2006 . The random intrinsic fast initial response of two-sided CUSUM charts . Test , 15 : 505 – 524 .
  • Mevorach , Y. and Pollak , M. 1991 . A small sample size comparison of the CUSUM and Shiryayev–Roberts approaches to changepoint detection . Am. J. Math. Manag. Sci. , 11 : 277 – 298 .
  • Moustakides , G. V. 1986 . Optimal stopping for detecting changes in distribution . Ann. Statist. , 14 : 1379 – 1387 .
  • Page , E. S. 1954 . Continuous inspection schemes . Biometrika , 41 : 100 – 115 .
  • Pignatiello , J. J. Jr. and Runger , G. C. 1990 . Comparisons of multivariate CUSUM charts . J. Qual. Technol. , 22 : 173 – 186 .
  • Pollak , M. and Siegmund , D. 1985 . A diffusion process and its applications to detecting a change in the drift of Brownian motion . Biometrika , 72 : 267 – 280 .
  • Pollak , M. and Siegmund , D. 1991 . Sequential detection of a change in a normal mean when the initial value is unknown . Ann. Statist. , 19 : 394 – 416 .
  • Roberts , S. W. 1966 . A comparison of some control chart procedures . Technometrics , 8 : 411 – 430 .
  • Shiryayev , A. N. 1963 . On optimum methods in quickest detection problems . Theory Probab. Appl. , 8 : 22 – 46 .
  • Sonesson , C. 2003 . Evaluations of some exponentially weighted moving average methods . J. Appl. Statist. , 30 : 1115 – 1133 .
  • Sonesson , C. and Bock , D. 2003 . A review and discussion of prospective statistical surveillance in public health . J. R. Statist. Soc. A , 166 : 5 – 21 .
  • Srivastava , M. S. and Wu , Y. 1993 . Comparison of EWMA, CUSUM, and Shiryayev-Roberts procedures for detecting a shift in the mean . Ann. Statist. , 21 : 645 – 670 .
  • Woodall , W. H. 2000 . Controversies and contradictions in statistical process control (with discussion) . J. Qual. Technol. , 32 : 341 – 378 .
  • Woodall , W. H. and Adams , B. M. 1993 . The statistical design of CUSUM charts . Qual. Eng. , 5 : 559 – 570 .
  • Woodall , W. H. and Adams , B. M. 1998 . “ Statistical process control ” . In Chap. 7 in Handbook of Statistical Methods for Engineers and Scientists , Edited by: Wadsworth , H. M. Jr. New York , NY : McGraw-Hill Companies, Inc .
  • Woodall , W. H. and Mahmoud , M. A. 2005 . The inertial properties of quality control charts . Technometrics , 47 : 425 – 436 .
  • Yashchin , E. 1987 . Some aspects of the theory of statistical control schemes . IBM J. Res. Dev. , 31 : 199 – 205 .
  • Yashchin , E. 1993 . Statistical control schemes: methods, applications and generalizations . Int. Statist. Rev. , 61 : 41 – 66 .
  • Zacks , S. 2001 . The operating characteristics of sequential procedures in reliability, . Handbook Statist. 20 , : 789 – 811 .
  • Zacks , S. 2004 . Exact determination of the run length distribution of a one-sided CUSUM procedure applied on an ordinary Poisson process . Sequent. Anal. , 23 : 159 – 178 .

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