The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable

Authors

  • Luis González Abril Departamento de Economía Aplicada I Universidad de Sevilla
  • Francisco Velasco Morente Departamento de Economía Aplicada I Universidad de Sevilla
  • José Manuel Gavilán Ruiz Departamento de Economía Aplicada I Universidad de Sevilla
  • Luis María Sánchez-Reyes Fernández Departamento de Economía Aplicada I Universidad de Sevilla

DOI:

https://doi.org/10.46661/revmetodoscuanteconempresa.2158

Keywords:

Concentration measures, cumulative distribution function, Lorenz curve, mean difference, medidas de concentración, función de distribución, curva de Lorenz, diferencia media

Abstract

In this paper, several identities concerning expectation, variance, covariance, cumulative distribution functions, the coefficient of variation, and the Lorenz curve are obtained and they are used in establishing theoretical results. Furthermore, a graphical representation of the variance is proposed which, together with the aforementioned identities, enables the square of the coefficient of variation to be considered as an equality measure in the same way as is the Gini index. A study of the similarities between the theoretical expression of the Gini index and the square of the coefficient of variation is also carried out in this paper.

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Published

2016-11-04

How to Cite

González Abril, L., Velasco Morente, F., Gavilán Ruiz, J. M., & Sánchez-Reyes Fernández, L. M. (2016). The Similarity between the Square of the Coefficient of Variation and the Gini Index of a General Random Variable . Journal of Quantitative Methods for Economics and Business Administration, 10, Páginas 5 a 18. https://doi.org/10.46661/revmetodoscuanteconempresa.2158

Issue

Vol. 10 (2010)

Section

Articles

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