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Original Articles

Computing the distribution of the wilcoxon statistic with applications to process control

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Pages 381-399 | Received 01 Nov 1989, Published online: 24 Oct 2007

References

  • Arnold , H.J. 1965 . Small Sample Power of the One Sample Wilcoxon Test for Non-Normal Shift Alternatives . Annals of Mathematical Statistics , 36 : 1767 – 1778 .
  • Bakir , S.J. and Reynolds , M.R. 1979 . A Nonparametric Procedure for Process Control Based on Within-Group Ranking . Technometrics , 21 : 175 – 183 .
  • Bhat , U.N. 1972 . Elements of Applied Stochastic Processes , New York : John Wiley & Sons .
  • Bhattacharya , P.K. and Frierson , D. 1981 . A Nonparametric Control Chart for Detecting Small Disorders . The Annals of Statistics , 9 : 544 – 554 .
  • Brook , D. and Evans , D.A. 1972 . An Approach to the Probability Distribution of CUSUM Run Length . Biometrika , 59 : 539 – 549 .
  • van Dobben de Bruyn , D.S. 1968 . Cumulative Sum Tests: Theory and Practice , London : Griffin .
  • Klotz , J. H. 1963 . Small Sample Power and Efficiency for the One Sample Wilcoxon and Normal Scores Tests . Annals of Mathematical Statistics , 34 : 624 – 632 .
  • Lucas , J.M. 1976 . The Design and Use of V-Mask Control Schemes . Journal of Quality Technology , 8 : 1 – 12 .
  • Maron , M.M. 1982 . Numerical Analysis: A Practical Approach , New York : MacMillan Publishing Company .
  • McGilchrist , C.A. and Woodyer , K.D. 1975 . Note on a Distribution Free CUSUM Technique . Technometrics , 17 : 321 – 325 .
  • Milton , R.C. 1970 . Rank Order Probabilities: Two Sample Normal Shift Alternatives , New York : John Wiley & Sons .
  • Owen , D.B. 1980 . A Table of Normal Integrals . Communications in Statistics - Simulation and Computing , B9 ( 4 ) : 389 – 419 .
  • Page , E.S. 1954 . Continous Inspection Schemes . Biometrika , 41 : 100 – 114 .
  • Randles , R.H. and Wolfe , D.A. 1979 . Introduction to the Theory of Nonparametric Statistics , New York : John Wiley & Sons .
  • Savage , I.R. 1960 . Contributions to the Theory of Rank Order Statistics: Computation Rules for Probabilities of Rank Orders . Annals of Mathematical Statistics , 31 : 519 – 520 .

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