Gini’s nuclear family |
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Authors: | Rolf Aaberge |
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Institution: | (1) Research Department, Statistics Norway, P.O.B. 8131 Dep., 0033 Oslo, Norway |
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Abstract: | 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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Keywords: | the scaled conditional mean curve measures of inequality the Gini coefficient the Bonferroni coefficient measures of social welfare principles of transfer sensitivity estimation asymptotic distributions |
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