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Symmetry 2018, 10(7), 286; https://doi.org/10.3390/sym10070286

A Note on Ordering Probability Distributions by Skewness

1
Department of Statistics and Operations Research, University of Cádiz, 11002 Cádiz, Spain
2
Department of Quantitative Methods & TiDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Las Palmas, Spain
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Received: 15 June 2018 / Revised: 9 July 2018 / Accepted: 10 July 2018 / Published: 16 July 2018
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Abstract

This paper describes a complementary tool for fitting probabilistic distributions in data analysis. First, we examine the well known bivariate index of skewness and the aggregate skewness function, and then introduce orderings of the skewness of probability distributions. Using an example, we highlight the advantages of this approach and then present results for these orderings in common uniparametric families of continuous distributions, showing that the orderings are well suited to the intuitive conception of skewness and, moreover, that the skewness can be controlled via the parameter values. View Full-Text
Keywords: positive and negative skewness; ordering; fitting distributions positive and negative skewness; ordering; fitting distributions
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García, V.J.; Martel-Escobar, M.; Vázquez-Polo, F.J. A Note on Ordering Probability Distributions by Skewness. Symmetry 2018, 10, 286.

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