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Original Articles

Evaluations of some Exponentially Weighted Moving Average methods

Pages 1115-1133 | Published online: 02 Aug 2010

References

  • ANDERSSON , E. 2002 . Monitoring cyclical processes: a non-parametric approach . Journal of Applied Statistics , 29 : 973 – 990 .
  • BORROR , C. M. , MONTGOMERY , D. C. and RUNGER , G. C. 1999 . Robustness of the EWMA control chart to non-normality . Journal of Quality Technology , 31 : 309 – 316 .
  • Box , G. E. P. , JENKINS , G. M. and MACGREGOR , J. F. 1974 . Some recent advances in forecasting and control . Applied Statistics , 23 : 158 – 179 .
  • CHANG , T. C. and GAN , F. F. 1994 . Optimal designs of one-sided EWMA charts for monitoring a process variance . Journal of Statistical Computation and Simulation , 49 : 33 – 48 .
  • CROWDER , S. V. 1987 . A simple method for studying run-length distributions of exponentially weighted moving average charts . Technometrics , 29 : 401 – 407 .
  • CROWDER , S. V. 1989 . Design of exponentially weighted moving average schemes . Journal of Quality Technology , 21 : 155 – 162 .
  • CROWDER , S. V. and HAMILTON , M. D. 1992 . An EWMA for monitoring a process standard-deviation . Journal of Quality Technology , 24 : 12 – 21 .
  • DOMANGUE , R. and PATCH , S. C. 1991 . Some omnibus exponentially weighted moving average statistical process monitoring schemes . Technometrics , 33 : 299 – 313 .
  • FRISÉN , M. 1992 . Evaluations of methods for statistical surveillance . Statistics in Medicine , 11 : 1489 – 1502 .
  • FRISÉN , M. 2003 . Statistical surveillance. Optimality and methods . International Statistical Review , 71 : 403 – 434 .
  • FRISÉN , M. and DE MARE , J. 1991 . Optimal surveillance . Biometrika , 78 : 271 – 280 .
  • FRISÉN , M. and SONESSON , C. 2002 . “ Optimal surveillance based on exponentially weighted moving averages ” . Research Report 2002:1 Department of Statistics, Göteborg University .
  • FRISÉN , M. and WESSMAN , P. 1999 . Evaluations of likelihood ratio methods for surveillance. Differences and robustness . Communications in Statistics. Simulations and Computations , 28 : 597 – 622 .
  • GAN , F. F. 1993 . An optimal-design of EWMA control charts based on median run-length . Journal of Statistical Computation and Simulation , 45 : 169 – 184 .
  • GAN , F. F. 1995 . Joint monitoring of process mean and variance using exponentially weighted moving average control charts . Technometrics , 37 : 446 – 453 .
  • GAN , F. F. 1998 . Designs of one- and two-sided exponential EWMA charts . Journal of Quality Technology , 30 : 55 – 69 .
  • HILLSON , E. M. , REEVES , J. H. and MCMILLAN , C. A. 1998 . A statistical signalling model for use in surveillance of adverse drug reaction data . Journal of Applied Statistics , 25 : 23 – 40 .
  • JÄRPE , E. 2000 . “ On univariate and spatial surveillance ” . Department of Statistics, Göteborg University . Unpublished PhD thesis
  • JONES , L. A. 2002 . The statistical design of EWMA control charts with estimated parameters . Journal of Quality Technology , 34 : 277 – 288 .
  • JONES , L. A. , CHAMP , C. W. and RIGDON , S. E. 2001 . The performance of exponentially weighted moving average charts with estimated parameters . Technometrics , 43 : 156 – 167 .
  • KNOTH , S. and SCHMID , W. 2002 . Monitoring the mean and the variance of a stationary process . Statistica Neerlandica , 56 : 77 – 100 .
  • LORDEN , G. 1971 . Procedures for reacting to a change in distribution . Annals of Mathematical Statistics , 42 : 1897 – 1908 .
  • Lu , C. W. and REYNOLDS , M.R . 1999 . EWMA control charts for monitoring the mean of autocorrelated processes . Journal of Quality Technology , 31 : 166 – 188 .
  • LUCAS , J. M. and SACCUCCI , M. S. 1990 . Exponentially weighted moving average control schemes: properties and enhancements . Technometrics , 32 : 1 – 12 .
  • MORAIS , M. C. and PACHECO , A. 1998 . Two stochastic properties of one-sided exponentially weighted moving average control charts . Communications in Statistics. Simulations and Computations , 27 : 937 – 952 .
  • MORAIS , M. C. and PACHECO , A. 2000 . On the performance of combined EWMA schemes for mu and sigma: a Markovian approach . Communications in Statistics. Simulations and Computations , 29 : 153 – 174 .
  • MOUSTAKIDES , G. V. 1986 . Optimal stopping times for detecting changes in distributions . Annals of Statistics , 14 : 1379 – 1387 .
  • POLLAK , M. 1985 . Optimal detection of a change in distribution . Annals of Mathematical Statistics , 13 : 206 – 227 .
  • RADAELLI , G. 1992 . Using the Cuscore technique in the surveillance of rare health events . Journal of Applied Statistics , 19 : 75 – 81 .
  • ROBERTS , S. W. 1959 . Control chart tests based on geometric moving averages . Technometrics , 1 : 239 – 250 .
  • RUNGER , G. C. and PRABHU , S. S. 1996 . A Markov chain model for the multivariate exponentially weighted moving averages control chart . Journal of the American Statistical Association , 91 : 1702 – 1706 .
  • SHEWHART , W. A. 1931 . Economic Control of Quality of Manufactured Product , London : Macmillan .
  • SONESSON , C. and BOCK , D. 2003 . A review and discussion of prospective statistical surveillance in public health . Journal of the Royal Statistical Society 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 . Annals of Statistics , 21 : 645 – 670 .
  • SRIVASTAVA , M. S. and Wu , Y. 1997 . Evaluation of optimum weights and average run lengths in EWMA control schemes . Communications in Statistics. Theory and Methods , 26 : 1253 – 1267 .
  • STEINER , S. H. 1999 . EWMA control charts with time-varying control limits and fast initial response . Journal of Quality Technology , 31 : 75 – 86 .
  • STOUMBOS , Z. G. and SULLIVAN , J. H. 2002 . Robustness to non-normality of the multivariate EWMA control chart . Journal of Quality Technology , 34 : 260 – 276 .
  • VANBRACKLE , L. and WILLIAMSON , G. D. 1999 . A study of the average run length characteristics of the National Notifiable Diseases Surveillance System . Statistics in Medicine , 18 : 3309 – 3319 .
  • WILLIAMSON , G. D. and HUDSON , G. W. 1999 . A monitoring system for detecting aberrations in public health surveillance reports . Statistics in Medicine , 18 : 3283 – 3298 .

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