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dc.contributor.authorKoshevoy, Gleben_US
dc.contributor.authorMosler, Karlen_US
dc.description.abstractThe paper presents an approach to the measurement of economic disparity in several commodities. We introduce a special view on the usual Lorenz curve and extend this view to the multivariate situation: Given a vector of shares of the total endowments in each commodity, the multivariate inverse Lorenz function (ILF) indicates the maximum percentage of the population by which these shares or less are held. Its graph is the Lorenz hypersurface. Many properties of the ILF are studied and the equivalence of the pointwise ordering of ILFs and the price Lorenz order is established. We also study similar notions for distributions of absolute endowments. Finally, several disparity indices are suggested that are consistent with these orderings.en_US
dc.publisher|aUniv., Seminar für Wirtschafts- und Sozialstatistik |cKölnen_US
dc.relation.ispartofseries|aDiscussion papers in statistics and econometrics |x3/99en_US
dc.subject.keywordMultivariate Lorenz orderen_US
dc.subject.keyworddirectional majorizationen_US
dc.subject.keywordprice Lorenz orderen_US
dc.subject.keywordgeneralized Lorenz functionen_US
dc.subject.keywordmultivariate disparity indicesen_US
dc.titlePrice majorization and the inverse Lorenz functionen_US
dc.typeWorking Paperen_US

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