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Original Articles

The moments and power of the skewness statistic in sampling from the Gram-Charller Distribution

Pages 7-14 | Received 03 Jul 1982, Published online: 20 Mar 2007

References

  • Barton , D. E. and Dennis , K. E. “ The conditions under which Gram-Charlier and Edgeworth curves are positive definite and unimodal ” . 425 – 427 .
  • Bowman , K. O. and Shenton , L. R. 1971 . Remarks on the distribution of the skewness statisti in sampling from anormal type A distribution . Bull. Intern. Statist. Instit. Proc. 38th Sess , 39 : 115 – 167 .
  • Bowman , K. O. and Shenton , L. R. 1973 . Remarks on the distribution of in sampling from a normal mixture, and normal type A distribution . J.Amer.Statist.Assoc , 68 : 998 – 1003 .
  • Bowman , K. O. and Shenton , L. R. 1975 . Tables of Moments of the Skewness and Kurtosis Statistics in Non-normal Sampling , Oak Ridge, , Tennessee : Union Carbide Corporation . Report No.UCCND-CSD-8
  • D' Agostino , R. B. 1970 . Transformation to normality of the null distribution of g1 . Biometrika , 57 : 679 – 681 .
  • Draper , N. R. and Tierney , D. E. 1972 . Regions of positive and unimodal series expansions of the Edgeworth and Gram-Charlier approximations . Biometrika , 59 : 462 – 465 .
  • Fisher , R. A. and Hill , I. D. 1973 . Algorithm AS 66. The normal integral . App.Statist , 22 : 424 – 427 .
  • Hill , I. D. 1976 . Algorithm AS 100. Normal-Johnson and Johnson-Normal transformation . Appl.Statist , 25 : 190 – 192 .
  • Hill , I. D. , Hill , R. and Holder , R. L. 1976 . Algorithm AS 99. Fitting Johnson curves by moments . Appl.Statist , 25 : 180 – 189 .
  • Hill , I. D. and Wheeler , R. E. 1981 . A remark on algorithm AS 99: Fitting Johnson curves by moments and AS 100: Normal-Johnson and Johnson-Normal transformations . Appl.Statist , 30 : 106
  • Johnson , N. L. 1949 . Systems of frequency carves generated by methods of translation . Biometrika , 36 : 149 – 176 .
  • Numerical Algorithms Group 1981 6 NAG Fortram Library Manual, Mark 8
  • Pearson , E. S. 1963 . “ Some problems arising in approximating to probability distributions, using moments ” . Vol. 50 , 95 – 112 . Biometrika
  • Shenton , L. R. and Bowman , K. O. 1975 . Johnson's Su and the skewness and kurtosis statistics . J.Amer.Statist.Assoc , 70 : 220 – 228 .
  • Shenton , L. R. , Bowman , K. O. and Sheehan , D. 1971 . sampling moments of moments associated with univariate distributions . J. Roy, Statist, Soc. , B 33 : 444 – 457 .

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