caa a22 4500 445389168 CHVBK 20180317143041.0 cr unu---uuuuu 170323e20110901xx s 000 0 eng 10.1007/s10888-010-9163-y doi (NATIONALLICENCE)springer-10.1007/s10888-010-9163-y Robust inequality comparisons [Elektronische Daten] [Rolf Aaberge, Magne Mogstad] This paper is concerned with the problem of ranking Lorenz curves in situations where the Lorenz curves intersect and no unambiguous ranking can be attained without introducing weaker ranking criteria than first-degree Lorenz dominance. To deal with such situations, Aaberge (Soc Choice Welf 33:235-259, 2009) introduced two alternative sequences of nested dominance criteria for Lorenz curves, which proved to characterize two separate systems of nested subfamilies of inequality measures. This paper uses the obtained characterization results to arrange the members of two different generalized Gini families of inequality measures into subfamilies according to their relationship to Lorenz dominance of various degrees. Since the various criteria of higher degree Lorenz dominance provide convenient computational methods, these results can be used to identify the largest subfamily of the generalized Gini families, and thus the least restrictive social preferences, required to reach unambiguous ranking of a set of Lorenz curves. We further show that the weight-functions of the members of the generalized Gini families offer intuitive interpretations of higher degree Lorenz dominance, which generally has been viewed as difficult to interpret because they involve assumptions about third and higher derivatives. To demonstrate the usefulness of these methods for empirical applications, we examine the time trend in income and earnings inequality of Norwegian males during the period 1967-2005. The Author(s), 2010 The Lorenz curve nationallicence Lorenz dominance nationallicence Rank-dependent measures of inequality nationallicence The Gini coefficient nationallicence Generalized Gini families of inequality measures nationallicence Aaberge Rolf Research Department, Statistics Norway, P.O. Box 8131 Dep., N-0033, Oslo, Norway aut Mogstad Magne Research Department, Statistics Norway, P.O. Box 8131 Dep., N-0033, Oslo, Norway aut The Journal of Economic Inequality Springer US; http://www.springer-ny.com 9/3(2011-09-01), 353-371 1569-1721 9:3<353 2011 9 10888 https://doi.org/10.1007/s10888-010-9163-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10888-010-9163-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aaberge Rolf Research Department, Statistics Norway, P.O. Box 8131 Dep., N-0033, Oslo, Norway aut NATIONALLICENCE 700 1- Mogstad Magne Research Department, Statistics Norway, P.O. Box 8131 Dep., N-0033, Oslo, Norway aut NATIONALLICENCE 773 0- The Journal of Economic Inequality Springer US; http://www.springer-ny.com 9/3(2011-09-01), 353-371 1569-1721 9:3<353 2011 9 10888 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer