Next Article in Journal
Space-Time Second-Quantization Effects and the Quantum Origin of Cosmological Constant in Covariant Quantum Gravity
Next Article in Special Issue
Univariate and Bivariate Models Related to the Generalized Epsilon–Skew–Cauchy Distribution
Previous Article in Journal
A Step-by-Step Solution Methodology for Mathematical Expressions
Open AccessArticle

A Note on Ordering Probability Distributions by Skewness

Department of Statistics and Operations Research, University of Cádiz, 11002 Cádiz, Spain
Department of Quantitative Methods & TiDES Institute, University of Las Palmas de Gran Canaria, 35017 Las Palmas de Gran Canaria, Las Palmas, Spain
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2018, 10(7), 286;
Received: 15 June 2018 / Revised: 9 July 2018 / Accepted: 10 July 2018 / Published: 16 July 2018
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
Show Figures

Figure 1

MDPI and ACS Style

García, V.J.; Martel-Escobar, M.; Vázquez-Polo, F.J. A Note on Ordering Probability Distributions by Skewness. Symmetry 2018, 10, 286.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

Search more from Scilit
Back to TopTop