This article shows that the multidimensional Gini index is more complete than its unidimensional configuration in order to compute the contribution of each group to the overall inequality. In Languedoc-Roussillon, it indicates that the disparities are particularly generated by wage differences...

We show in this paper that the growth rate of the Sen index is multi-decomposable, that is, decomposable simultaneously by groups and income sources. The multi-decomposition of the poverty growth yields respectively: the growth rate of the poverty incidence (poverty rate) decomposed by groups,...

Macro/micro-economic modelling has emerged as a rigorous instrument to link policy reforms with changes in income distribution. Indeed, this approach enables one to capture directly the general equilibrium effect of policy reforms upon changes in household welfare. These endogenous distributions...

Four axioms are introduced in order to characterize the family of pair-based decomposable inequality measures, which is embraced in the class of weakly decomposable inequality measures. Three axioms, namely, normalization by pairs, aggregation by pairs, and decomposition by pairs enable the...

The purpose of this article is to show that the Gini index of equality is decomposable: (i) both by subgroup and income source and (ii) into a parametric configuration permitting statistical inference on equality components. We demonstrate that the Gini index of equality decompositions imply...

We propose a generalization of the decomposition by population subgroups of the α-Gini index, the so-called multi-level subgroup decomposition. We demonstrate that all components obtained from the decomposition, can integrate in their functional form a parameter of inequality sensitivity being...

Les mesures d’inégalité du revenu rassemblent deux types d’indicateurs décomposables : les indices décomposables en sous-populations et les indices décomposables en sources de revenu. Les premiers permettent de départager l’inégalité totale en une inégalité intragroupe et une...

We show in this paper that the growth rate of the Sen index is multi-decomposable, that is, decomposable simultaneously by subgroups and income sources. The multi-decomposition of the poverty growth yields respectively: the growth rate of the poverty incidence (poverty rate) decomposed by...

In this paper, we investigate a dual class of bi-polarization indices, namely rank-dependent bipolarization indices. We show that these indices may be characterized with the generalized positional transfer sensitivity property. We find necessary and sufficient conditions in order to identify...

Following Milanovic's (1997) paper [Economics Letters, vol. 56, p. 45-49], we propose a simple way to compute the Gini index when income y is a quadratic function of its rank among n individuals.