A multivariate extension of the Lorenz curve based on copulas and a related multivariate Gini coefficient

Oliver Grothe (), Fabian Kächele () and Friedrich Schmid
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Oliver Grothe: Karlsruher Institut für Technologie (KIT)
Fabian Kächele: Karlsruher Institut für Technologie (KIT)
Friedrich Schmid: Universität zu Köln

The Journal of Economic Inequality, 2022, vol. 20, issue 3, No 9, 727-748

Abstract: Abstract We propose an extension of the univariate Lorenz curve and of the Gini coefficient to the multivariate case, i.e., to simultaneously measure inequality in more than one variable. Our extensions are based on copulas and measure inequality stemming from inequality in each single variable as well as inequality stemming from the dependence structure of the variables. We derive simple nonparametric estimators for both instruments and exemplary apply them to data of individual income and wealth for various countries.

Keywords: Copula; Gini coefficient; Inequality; Multidimensional inequality; Joint inequality of income and wealth; Lorenz curve; Dependence of income and wealth (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10888-022-09533-x

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