An adaptive exponentially weighted moving average control chart for monitoring process variances

References

• Roberts , S. W. 1959 . Control chart tests based on geometric moving averages . Technometrics , 1 : 239 – 250 .
   Google Scholar
• Robinson , P. B. and Ho , T. Y. 1978 . Average run lengths of geometric moving average charts by numerical methods . Technometrics , 20 : 85 – 93 .
   Web of Science ®Google Scholar
• Crowder , S. V. 1987 . A simple method for studying run length distributions of exponentially weighted moving average control charts . Technometrics , 29 : 401 – 407 .
   Web of Science ®Google Scholar
• Crowder , S. V. 1989 . Design of exponentially weighted moving average schemes . Journal of Quality Technology , 21 : 155 – 162 .
   Web of Science ®Google Scholar
• Lucas , J. M. and Saccucci , M. S. 1990 . Exponentially weighted moving average control schemes: properties and enhancements . Technometrics , 32 ( 1 ) : 1 – 12 .
   Web of Science ®Google Scholar
• Apley , D. W. and Lee , H. C. 2003 . Design of exponentially weighted moving average control charts for autocorrelated processes with model uncertainty . Technometrics , 45 : 187 – 198 .
   Web of Science ®Google Scholar
• Acosta–Mejia , C. A. , Pignatiello , J. J. Jr and Rao , B. V. 1999 . A comparison of control charting procedures for monitoring process dispersion . IIE Transactions , 31 : 569 – 579 .
   Web of Science ®Google Scholar
• Wortham , A. W. and Ringer , L. J. 1971 . Control via exponential smoothing . The Logistics Review , 7 : 33 – 40 .
   Google Scholar
• Sweet , A. L. 1986 . Control charts using coupled exponentially weighted moving averages . IIE Transactions , 18 : 26 – 33 .
   Web of Science ®Google Scholar
• Ng , C. H. and Case , K. E. 1989 . Development and evaluation of control charts using exponentially weighted moving averages’ . Journal of Quality Technology , 21 : 242 – 250 .
   Web of Science ®Google Scholar
• Crowder , S. V. and Hamilton , M. 1992 . Average run lengths of EWMA controls for monitoring a process standard deviation . Journal of Quality Technology , 24 : 44 – 50 .
   Web of Science ®Google Scholar
• MacGregor , J. F. and Harris , T. J. 1993 . The exponentially weighted moving variance . Journal of Quality Technology , 25 : 106 – 118 .
   Web of Science ®Google Scholar
• Lu , C. W. and Reynolds , M. R. Jr . 1999 . Control charts for monitoring the mean and variance of autocorrelated processes . Journal of Quality Technology , 31 : 259 – 274 .
   Web of Science ®Google Scholar
• Chen , G. M. , Cheng , S. W. and Xie , H. S. 2001 . Monitoring process mean and variability with one EWMA chart . Journal of Quality Technology , 33 : 223 – 233 .
   Web of Science ®Google Scholar
• Box , G. E.P. , Hunter , W. and Hunter , J. 1978 . Statistics for Experiments , New York, NY : John Wiley & Sons .
   Google Scholar
• Chang , T. C. and Gan , F. F. 1995 . A cumulative sum control chart for monitoring process variance . Journal of Quality Technology , 27 : 109 – 119 .
   Web of Science ®Google Scholar
• Yashchin , E. 1995 . Estimating the current mean of a process subject to abrupt changes . Technometrics , 37 : 311 – 323 .
   Web of Science ®Google Scholar
• Capizzi , G. and Masarotto , G. 2003 . An adaptive exponentially weighted moving average control chart . Technometrics , 45 : 199 – 207 .
   Web of Science ®Google Scholar
• Huber , P. J. 1981 . Robust Statistics , New York, NY : John Wiley & Sons .
   Google Scholar
• Holland , P. W. and Welsch , R. E. 1977 . Robust regression using iteratively reweighted least-squares . Communications in Statistics: Theory and Methods , 6 : 813 – 827 .
   Web of Science ®Google Scholar
• Albin , S. L. , Kang , L. and Shea , G. 1997 . An X and EWMA chart for individual observations . Journal of Quality Technology , 29 : 41 – 48 .
   Web of Science ®Google Scholar
• Moustakides , G. V. 1986 . Optimal stopping times for detecting changes in distributions . Annals of Statistics , 14 : 1379 – 1387 .
   Web of Science ®Google Scholar
• Quesenberry , C. P. 1995 . On properties of Q charts variables . Journal of Quality Technology , 27 : 184 – 203 .
   Web of Science ®Google Scholar
• Wilson , E. P. and Hilferty , M. M. 1931 . The distribution of chi-square . Proceeding of the National Academy of Science , 17 : 684 – 688 .
   PubMed Web of Science ®Google Scholar
• Reynolds , M. R. Jr and Stoumbos , Z. G. 2004 . Control charts and the efficient allocation of sampling resources . Technometrics , 46 : 200 – 214 .
   Web of Science ®Google Scholar
• Brook , D. and Evans , D. A. 1972 . An approach to the probability distribution of CUSUM run length . Biometrika , 59 : 539 – 549 .
   Web of Science ®Google Scholar