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Original Articles

One-sided control charts for the mean of positively skewed distributions

Pages 1021-1033 | Published online: 25 Aug 2010

References

  • BAI , D.S. and CHOI , I.S. 1995 . X and R control charts for skewed populations . Journal of Quality Technology , 27 (2) : 120 – 131 .
  • BORROR , C.M. , MONTGOMERY , D.C. and RUNGER , G.G. 1999 . Robustness of the EWMA control chart to nonnormality . Journal of Quality Technology , 31 (3) : 309 – 316 .
  • BURR , I. W. 1942 . Cumulative frequency distributions . Ann. Math. Stat. , 13 : 215 – 232 .
  • BURR , I.W. 1967 . The effect of non-normality on constants for X and R charts . Industrial Quality Control , 34 : 563 – 569 .
  • CHEN , L. 1995 . Testing the mean of skewed distributions . Journal of the American Statistical Association , 90 (430) : 767 – 772 . Theory and Methods
  • CROWDER , S.V. 1987 . A simple method for studying run-length distributions of Exponentially Weighted Moving Average charts . Technometrics , 29 (4) : 401 – 407 .
  • CROWDER , S.V. 1989 . Design of Exponential Weighted Moving Average schemes . Journal of Quality Technology , 21 (3) : 155 – 163 .
  • GAN , F.F. and CHANG , T.C. 2000 . Computing average run lengths of exponential EWMA charts . Journal of Quality Technology , 32 (2) : 183 – 187 .
  • GOELWU , S.M. 1971 . Determination of A. R L. and a contour nomogram for cusum charts to control normal mean . Technometrics , 13 (2) : 221 – 229 .
  • HALL , p· . 1983 . Inverting an Edgeworth expansion . The Annals of Statistics , 11 : 569 – 576 .
  • HALL , P. 1992 . The Bootstrap and Edgeworth Expansion , New York : Springer-Verlag .
  • HAWKINS , D.M. 1993 . Cumulative sum control charting: an underutilized SPC tool . Quality Engineering , 5
  • JONES , L.A. , CHAMP , C.W. and RIGDON , S.E. 2001 . The performance of Exponentially Weighted Moving Average charts with estimated parameters . Technometrics , 43 (2) : 156 – 167 .
  • LUCAS , J.M. and SACCUCCI , M.S. 1990 . Exponentially Weighted Moving Average control schemes: properties and enhancements . Technometrics , 32 (1) : 1 – 12 .
  • LUCENO , A. and BOX , G.E.P. 2000 . Influence of the sampling interval, decision limit and auto-correlation on the average run length in CUSUM charts . Journal of Applied Statistics , 27 (2) : 177 – 183 .
  • MONTGOMERY , D.C. 1996 . Introduction to Statistical Quality Control, , 3rd Edn , New York : Wiley .
  • PAGE , E.S. 1954 . Continuous inspection schemes . Biometrics , 41 : 100 – 114 .
  • ROBERTS , S.W. 1959 . Control chart tests based on geometric moving averages . Technometrics , 1 (3) : 239 – 250 .
  • ROBINSON , P.B. and Ho , T. Y. 1978 . Average run lengths of geometric moving average charts by numerical methods . Technometrics , 20 (1) : 85 – 93 .
  • SCHILLINGS , E.G. and NELSON , P.R . 1976 . The effect of non-normality on the control limits of charts . Journal of Quality Technology , 8 (4) : 183 – 188 .
  • SHEWHART , WA. 1931 . Economic Control of Quality of Manufactured Product , Princeton , New Jersey : Van Nostrand Reinhold .
  • VANCE , L.C. 1986 . Average run lengths of cumulative sum control charts for controlling normal means . Journal of Quality Technology , 18 (3) : 189 – 193 .

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