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Gini’s nuclear family

  • Rolf Aaberge

    ()

The purpose of this paper is to justify the use of the Gini coefficient and two close relatives for summarizing the basic information of inequality in distributions of income. To this end we employ a specific transformation of the Lorenz curve, the scaled conditional mean curve, rather than the Lorenz curve as the basic formal representation of inequality in distributions of income. The scaled conditional mean curve is shown to possess several attractive properties as an alternative interpretation of the information content of the Lorenz curve and furthermore proves to yield essential information on polarization in the population. The paper also provides asymptotic distribution results for the empirical scaled conditional mean curve and the related family of empirical measures of inequality.

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File URL: http://hdl.handle.net/10.1007/s10888-006-9050-8
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Article provided by Springer in its journal The Journal of Economic Inequality.

Volume (Year): 5 (2007)
Issue (Month): 3 (December)
Pages: 305-322

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Handle: RePEc:kap:jecinq:v:5:y:2007:i:3:p:305-322
Contact details of provider: Web page: http://springerlink.metapress.com/link.asp?id=111137

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  13. Rolf Aaberge, 2005. "Asymptotic Distribution Theory of Empirical Rank-dependent Measures of Inequality," Discussion Papers 402, Statistics Norway, Research Department.
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