Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/45801 
Year of Publication: 
1999
Series/Report no.: 
Discussion Papers in Statistics and Econometrics No. 3/99
Publisher: 
University of Cologne, Seminar of Economic and Social Statistics, Cologne
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

Files in This Item:
File
Size
356.83 kB





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.