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Correction for bias in estimation of the standard deviation and coefficient of skewness of the log Pearson 3 distribution
Author(s) -
Lettenmaier Dennis P.,
Burges Stephen J.
Publication year - 1980
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/wr016i004p00762
Subject(s) - skewness , statistics , standard deviation , mathematics , coefficient of variation , distribution (mathematics) , skew , pearson product moment correlation coefficient , standard error , econometrics , mathematical analysis , physics , astronomy
Estimated bias correction factors α G and α S for the coefficient of skewness and standard deviation of the log Pearson 3 distribution are presented. In contrast to similar results for other distributions commonly used in water resource applications, both α G and α S depend on the coefficient of variation C v as well as the skew coefficient γ. The α G is not monotonie with γ for some values of C v , and both α G and α S may assume values less than unity, unlike other commonly used distributions. It is shown that some of these differences are attributable to the peculiar forms which the probability density function of the log Pearson 3 distribution may assume. Supplement (tables) is available with entire article on microfiche. Order from American Geophysical Union, 2000 Florida Avenue, N.W., Washington, D.C. 20009. Document W80‐007; $1.00. Payment must accompany order.