We correct the generalized version of the decomposition of multivariate inequality indices by attributes proposed by Abul Naga and Geoffard "Abul Naga, R. H. and Geoffard, P. Y., 2006. Decomposition of bivariate inequality indices by attributes. Economic Letters 90, pp. 362-367."

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.

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.

We correct the generalized version of the decomposition of multivariate inequality indices by attributes proposed by Abul Naga and Geoffard (Abul Naga, R. H. and Geoffard, P. Y., 2006. Decomposition of bivariate inequality indices by attributes. Economic Letters 90, pp. 362-367).