Abul Naga, R.H. &  Geoffard, P-Y (2006). Decomposition of bivariate inequality indices by attributes. Economics Letters, 90(3), 362-367.

ABSTRACT

We provide, for the class of relative bidimensional inequality indices, a decomposition of inequality into two univariate Atkinson–Kolm–Sen indices and a third statistic which depends on the joint distribution of resources.
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