Top income shares and the Gini coefficient

01 March 2011

http://www.sciencedirect.com/science/article/pii/S0165176510003460

Author:Facundo Alveredo http://dx.doi.org/10.1016/j.econlet.2010.10.008,

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When a very top group of the income distribution, infinitesimal in numbers, owns a finite share of total income, the Gini coefficient can be approximated.We provide a simple formal proof for this expression, give a general formula of the relationship when the top group is not infinitesimal, and offer two applications as illustrations.