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ORIGINAL ARTICLES

The development and evaluation of CUSUM-based control charts for an AR(1) process

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Pages 525-534 | Received 01 Sep 1996, Published online: 30 May 2007

References

  • Alwan , L.C. ( 1992 ) Effects of autocorrelation on control chart performance , Communications in Statistics Theory and Methods , 21 , 1025 – 1049 .
  • Rowlands , R.J. and Wetherill , G.B. ( 1991 ) Quality control , in Handbook of Sequential Analysis , Ghosh, B.K., and Sen, P.K. (eds) , Marcel Dekker , New York , pp. 563 – 580 .
  • Harris , T.J. and Ross , W.M. ( 1991 ) Statistical process control for correlated observations . The Canadian Journal of Chemical Engineering , 69 , 48 – 57 .
  • Brooks , D. and Evans , D.A. ( 1972 ) An approach to the probability distribution of the Cusum run length . Biometrika , 59 , 539 – 549 .
  • Alwan , L.C. and Roberts , H.V. ( 1988 ) Time-series modeling for statistical process control . Journal of Business and Economic Statistics , 6 , 87 – 95 .
  • Montgomery , D.C. and Mastrangelo , CM. ( 1991 ) Some statistical process control methods for autocorrelated data . Journal of Quality Technology , 23 , 179 – 193 .
  • Khan , R.A. ( 1979 ) A sequential detection procedure and the related Cusum procedure . Sankhya The Indian Journal of Statistics, Series B , 40 , 146 – 162 .
  • Page , E.S. ( 1954 ) Continuous inspection plans Biometrika , 41 , 100 – 115 .
  • Timmer , D.H. ( 1994 ) Unpublished dissertation .
  • Yashchin , E. ( 1992 ) Analysis of CUSUM and other Markov-type control schemes by using empirical distributions . Technometries , 34 , 54 – 63 .
  • Cinlar , E. ( 1975 ) Introduction to Stochastic Processes , Prentice-Hall, Inc. , Englewood Cliffs , NJ.
  • Lucas , J.M. and Crosier , R.B. ( 1982 ) Fast initial response for CUSUM quality control schemes , Technometrics , 24 , 199 – 205 .
  • Van Dobben de Bruyn , C.S. ( 1968 ) Cumulative sum tests theory and practice , Haefer Publishing Company , New York .
  • Gan , F.F. ( 1991 ) An optimal design of Cusum quality control charts . Journal of Quality Technology , 23 , 279 – 286 .
  • Box , G.E.R. and Jenkins , G. ( 1976 ) Time Series Analysis Forecasting and Control , Holden-Day , Oakland , CA.

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