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This paper presents empirical results of a wide range of multidimensional poverty measures for: Argentina, Brazil, Chile, El Salvador, Mexico and Uruguay, for the period 1992-2006. Six dimensions are analysed: income, child attendance at school, education of the household head, sanitation, water and shelter. Over the study period, El Salvador, Brazil, Mexico and Chile experienced significant reductions of multidimensional poverty. In contrast, in urban Uruguay there was a small reduction in multidimensional poverty, while in urban Argentina the estimates did not change significantly. El Salvador, Brazil and Mexico together with rural areas of Chile display significantly higher and more simultaneous deprivations than urban areas of Argentina, Chile and Uruguay. In all countries, access to proper sanitation and education of the household head are the highest contributors to overall multidimensional poverty.
An important aspect of multidimensional wellbeing distributions is the correlation between different dimensions. We propose two indices for measuring multidimensional inequality, derived from two underlying social evaluation functions. These functions aggregate both across dimensions and across individuals. The social evaluation functions differ only with respect to the sequencing of aggregation. Aggregating first across dimensions is more attractive since it allows the inequality index to depend on the correlation between dimensions. We illustrate both indices, and the impact of correlation sensitivity, using Russian household data between 1995 and 2005 for four dimensions of wellbeing: expenditure, health, schooling and housing quality.
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