85
Views
29
CrossRef citations to date
0
Altmetric
Original Articles

Shape properties of the g-and-h and johnson families

Pages 1233-1250 | Received 01 Jul 1991, Published online: 27 Jun 2007

References

  • Balanda , K.P. 1986 . “ Kurtosis, Peakedness and Tailweight ” . University of Queensland . Unpublished Thesis
  • Balanda , K.P. and Mac Gillivray , H.L. 1990 . Kurtosis and Spread . Can. J. Statist , 18 : 17 – 30 .
  • Doksum , K.A. 1975 . Measures of location and asymmetry . Scand. J. Statist , 2 : 11 – 22 .
  • Hoaglin , D.C. , Mosteller , F. and Tukey , J.W. 1986 . “ Summarizing shape numerically: The g-and-h distributions ” . Edited by: Tukey , J.W. New Yord, Wiley : Trends and Shapes . Exploring Data Tables
  • Johnson , N.L. 1949 . Systems of frequency curves generated by methods of translation . Biometrika , 36 : 149 – 176 .
  • Johnson , N.L. 1954 . Systems of frequency curves derived from the first law of Laplace . Trab, Estad , 5 : 283 – 291 .
  • Lawrence , M.J. 1975 . Inequalities of s-ordered distributions . Ann, Statist , 3 : 413 – 428 .
  • Loh , W.Y. 1984 . Bounds on AREs for restricted classes of distributions defined via tail orderings . Ann. Statist , 12 : 685 – 701 .
  • Mac Gillivray , H.L. 1986 . Skewness and Asymmetry: Measures and Orderings . Ann. Statist , 14 : 994 – 1011 .
  • Mac Gillivray , H.L. and Balanda , K.P. 1988 . The relationships between skewness and kurtosis . Aust J. Statist , 30 : 319 – 337 .
  • Martinez , J. and Iglewicz , B. 1984 . Some properties of the Tukey g and h family of distributions . Commun. Statist A- Th. Meth , 13 : 353 – 369 .
  • Shayib , M.A. 1989 . The procedure for selection of transformations from the Johnson system . Commun. Statist B- Simula , 18 : 1457 – 1464 .
  • Slifker , J.F. and Shapiro , S.S. 1980 . The Johnson system: Selection and parameter estimation . Technometrics , 22 : 239 – 246 .
  • Tadikamalla , P.R. and Johnson , N.L. 1982 . Systems of frequency curves generated by transformations of logistic variables . Biometrika , 69 : 461 – 465 .
  • Van Zwet , W.R. 1964 . Convex Transformations of Random Variables . Math. Centre Tracts 7, Mathematisch Centrum, Amsterdam ,
  • Wheeler , R.E. 1980 . Quantile estimators of Johnson curve parameters . Biometrika , 67 : 725 – 728 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.