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Title:Price majorization and the inverse Lorenz function PDF Logo
Authors:Koshevoy, Gleb
Mosler, Karl
Issue Date:1999
Series/Report no.:Discussion papers in statistics and econometrics 3/99
Abstract:The 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.
Subjects:Multivariate Lorenz order
directional majorization
price Lorenz order
generalized Lorenz function
multivariate disparity indices
Document Type:Working Paper
Appears in Collections:Discussion Papers in Statistics and Econometrics, Seminar für Wirtschafts- und Sozialstatistik, Universität Köln

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