%0 Journal Article
%T On the decomposition of the Schutz coefficient: an exact approach with an application
%A Elsayed Ali Habib
%J -
%D 2012
%R DOI Code: 10.1285/i20705948v5n2p187
%X Decomposing inequality indices across household groups are useful in estimating the contribution of each component to total inequality. Decomposing relative inequality index for the Schutz coefficient (S-coefficient) is not simple since the functional form of inequality indices is not additively separable in incomes. In this article, the decomposition of Schultz coefficient across sub-groups is derived where it has a general form of decomposition as between-groups term, within-groups term and error term. Moreover, the error analysis is used to obtain the exact decomposition for the Schutz coefficient by dividing the error term to within-groups and between-groups terms. The final two main component types that we obtained are the exclusive within-groups and between-groups terms. Several examples are given that illustrate the benefits of the proposed method
%K Lorenz curve
%K mean absolute deviation
%K Pietra ratio
%K Robin Hood index.
%U http://siba-ese.unisalento.it/index.php/ejasa/article/view/11320