%0 Journal Article
%A González Abril, Luis
%A Velasco-Morente, Francisco
%A Gavilán Ruiz, José Manuel
%A Sánchez-Reyes Fernández, Luis María
%T The similarity between the square of the coefficient of variation and the Gini index of a general random variable
%D 2010
%@ 1886-516X
%U http://hdl.handle.net/10433/439
%X 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.
%K Concentration measures
%K Cumulative distribution function
%K Lorenz curve
%K Mean difference
%K Medidas de concentración
%K Función de distribución
%K Curva de Lorenz
%K Diferencia media
%~ GOEDOC, SUB GOETTINGEN