Premium
Computer‐oriented Wilson‐Hilferty transformation that preserves the first three moments and the lower bound of the Pearson type 3 distribution
Author(s) -
Kirby W.
Publication year - 1972
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr008i005p01251
Subject(s) - mathematics , random variate , transformation (genetics) , type (biology) , variance (accounting) , skew , range (aeronautics) , distribution (mathematics) , statistics , pearson product moment correlation coefficient , mathematical analysis , random variable , computer science , geology , paleontology , telecommunications , biochemistry , chemistry , accounting , business , gene , materials science , composite material
The modification in this paper of the familiar Wilson‐Hilferty transformation has exactly the same mean, variance, skew, and lower bound as the Pearson type 3 variate that it is intended to approximate. Although the original Wilson‐Hilferty approximation is adequate only at skews of less than about 3.0, the new one remains satisfactory throughout the range of hydrologic interest.