The Gini coefficient for a mixture of Ln-Normal populations

Young, A. (2011). The Gini coefficient for a mixture of Ln-Normal populations. London School of Economics and Political Science.
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I present a formula which allows for the calculation of the Gini coefficient when the overall population distribution is unknown, but there is some information on the Gini coefficients or moments of population sub-groups. When applied to data on the global and US income distribution, it proves to be extremely accurate, producing estimates with errors that are small fractions of one percent.

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