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Elasticidade da Pobreza em Relação à Renda Média e à Desigualdade no Brasil e nas Unidades da Federação


  • Rodolfo Hoffmann



The paper shows how to compute the elasticities of poverty measures (the poors head-count ratio, Sen’s poverty index and the measure of Foster, Greer and Thorbecke) in relation to the mean income (µ) and in relation to the Gini index (G), assuming that the income distribution is lognormal, analysing how these poverty elasticities vary as functions of µ and G. The elasticities of the poors head-count ratio are computed for Brazil and its states in 1999, considering the distribution of per capita household income, comparing the results with those obtained by Marinho and Soares (2003) with other methodology. The two estimates show very similar patterns of variation between Brazilian states. The obvious advantage of the method used in this paper is the possibility to compute the elasticities using only the values of µ and G for an income distribution. The elasticities are also computed for 2001 and 2002.

Suggested Citation

  • Rodolfo Hoffmann, 2005. "Elasticidade da Pobreza em Relação à Renda Média e à Desigualdade no Brasil e nas Unidades da Federação," Economia, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 6(2), pages 255-289.
  • Handle: RePEc:anp:econom:v:6:y:2005:i:2:p:255-289

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    Pobreza; Elasticidade; Distribuição log-normal;

    JEL classification:

    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty


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