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A simple measure of skewness
Author(s) -
Tajuddin I. H.
Publication year - 1996
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1996.tb01502.x
Subject(s) - skewness , measure (data warehouse) , weibull distribution , mathematics , simple (philosophy) , statistics , moment (physics) , econometrics , computer science , data mining , physics , philosophy , epistemology , classical mechanics
Groeneveld (1986) in discussing the skewness for the Weibull family has pointed out the shortcomings of the classical measures of asymmetry—the standardized third moment and the Pearson measure of skewness. He has shown that a modified form of the Pearson measure b 3 = (μ‐m)/E|X‐m| portrays the skewness of Weibull family quite well. We give another competitive measure of skewness T that is easy to interpret and is based on conditional expectations. The proposed measure satisfies the desirable properties of a skewness measure.