A Family of Correlation Coefficients Based on the Extended Gini Index View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2003-08

AUTHORS

E. Schechtman, S. Yitzhaki

ABSTRACT

The extended Gini is a family of measures of variability which is mainly used in the areas of finance and income distribution. Each index in the family is defined by specifying one parameter, which reflects the social evaluation of the marginal utility of income. The higher the parameter, the more weight is attached to the lower portion of the cumulative distribution, reflecting higher concern for poverty. In this paper we list and investigate the properties of the equivalents of the correlation coefficient that are associated with the extended Gini family. In addition, we show that the extended Gini of a linear combination of random variables can be decomposed, in a way which is equivalent to the decomposition of the variance, with, in addition, terms that reflect additional properties of the random variables. The implication of these properties is that any decomposition that is performed with the coefficient of variation can be replicated by an infinite number of indices that are based on the Extended Gini coefficient. More... »

PAGES

129-146

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/a:1026152130903

DOI

http://dx.doi.org/10.1023/a:1026152130903

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1013004715


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