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Complementary information for skewness measures
Author(s) -
García V. J.,
Martel M.,
VázquezPolo F.J.
Publication year - 2015
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/stan.12067
Subject(s) - skewness , complement (music) , mathematics , bivariate analysis , measure (data warehouse) , statistics , econometrics , index (typography) , set (abstract data type) , skew normal distribution , computer science , data mining , biochemistry , chemistry , complementation , world wide web , programming language , gene , phenotype
This paper introduces some new elements to measure the skewness of a probability distribution, suggesting that a given distribution can have both positive and negative skewness, depending on the centred sub‐interval of the support set being observed. A skewness function for positive reals is defined, from which a bivariate index of positive–negative skewness is obtained. Certain interesting properties of this new index are studied, and they are also obtained for some common discrete distributions. We show the advantages of their use as a complement to the information derived by traditional measures of skewness.