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Original Articles

Inverse Gaussian Control Charts for Monitoring Process Variability

Pages 223-239 | Published online: 02 Sep 2006

References

  • Aminzadeh , M. S. 1993 . Exponentially smoothed control charts for the inverse-Gaussian process . Communications in Statistics: Theory and Methods , 22 ( 6 ) : 1665 – 1680 .
  • Burr , I. W. 1967 . The effect of non-normality on constants for and R charts . Industrial Quality Control , 23 : 563 – 568 .
  • Chakraborti , S. 2000 . Run length, average run length and false alarm rate of Shewhart X-bar chart: Exact derivations by conditioning . Communications in Statistics: Simulation and Computation , 29 ( 1 ) : 61 – 81 .
  • Chen , G. 1998 . The run length distributions of the R, s, and s 2 control charts when σ is estimated . Canadian Journal of Statistics , 26 : 311 – 322 .
  • Desmond , A. F. and Chapman , G. R. 1993 . Modelling task completion data with inverse Gaussian mixtures . Applied Statistics , 42 ( 4 ) : 603 – 613 .
  • Edgeman , R. L. 1989a . Inverse Gaussian control charts . Australian Journal of Statistics , 31 ( 1 ) : 78 – 84 .
  • Edgeman , R. L. 1989b . Control of inverse Gaussian processes . Quality Engineering , 1 ( 3 ) : 265 – 276 .
  • Edgeman , R. L. 1996 . SPRT & CUSUM results for inverse Gaussian processes . Communications in Statistics: Theory and Methods , 25 ( 11 ) : 2797 – 2806 .
  • Folks , J. L. and Chhikara , R. S. 1978 . The inverse Gaussian distribution and its statistical application—a review . Journal of Royal Statistical Society , B40 ( 3 ) : 263 – 289 .
  • Hawkins , D. M. and Olwell , D. H. 1997 . Inverse Gaussian cumulative sum control charts for location and shape . The Statistician , 46 ( 3 ) : 323 – 335 .
  • Padgett , C. S. , Thombs , L. A. and Padgett , W. J. 1992 . On the alpha-risks for Shewhart control charts . Communications in Statistics: Simulation and Computation , 21 ( 4 ) : 1125 – 1147 .
  • Quesenberry , C. 1997 . SPC Methods for Quality Improvement 694 New York : John Wiley .
  • Schilling , E. G. 1976 . The effect of non-normality on the control limits of charts . Journal of Quality Technology , 8 ( 4 ) : 183 – 188 .
  • Seshadri , V. 1998 . The Inverse Gaussian Distribution:Statistical Theory and Applications , Lecture Notes in Statistics Vol. 137 , 347 New York : Springer Verlag .
  • Sim , C. H. 2000 . S-chart for non-Gaussian variables . Journal of Statistical Computation and Simulation , 65 ( 2 ) : 147 – 156 .
  • Sim , C. H. 2001 . “ A synthetic control chart for inverse Gaussian process ” . Kuala Lumpur, , Malaysia : Institute of Mathematical Sciences, University of Malaya . Technical Report #1

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