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Target Shortfall Orderings and Indices

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dc.creator Chakravarty, Satya R.
dc.creator D'Ambrosio, Conchita
dc.creator Muliere, Pietro
dc.date 2003
dc.date.accessioned 2013-10-16T06:58:09Z
dc.date.available 2013-10-16T06:58:09Z
dc.date.issued 2013-10-16
dc.identifier http://hdl.handle.net/10419/18076
dc.identifier ppn:370778707
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/10419/18076
dc.description Given any income distribution, to each income we associate a subgroup containing all persons whose incomes are not higher than this income and a person?s target shortfall in a subgroup is the gap between the subgroup highest income and his own income. We then develop an absolute target shortfall ordering, which, under constancy of population size and total income, implies the Lorenz and Cowell-Ebert complaint orderings. Under the same restrictions, one distribution dominates the other by this ordering if and only if the dominated distribution can be obtained from the dominant one by a sequence of rank preserving progressive transfers, where each transfer is shared equally by all persons poorer than the donor of the transfer. The relationship of the ordering with the absolute deprivation and differential orderings, and its consistency with ranking of distributions by absolute target shortfall indices are explored. Well-known inequality indices like the absolute Gini index and the standard deviation are interpreted as absolute target shortfall indices. Finally, the possibility of a relative target shorfall ordering is also discussed.
dc.language eng
dc.publisher Deutsches Institut für Wirtschaftsforschung (DIW) Berlin
dc.relation DIW-Diskussionspapiere 340
dc.rights http://www.econstor.eu/dspace/Nutzungsbedingungen
dc.subject D63
dc.subject D31
dc.subject ddc:330
dc.subject Target shortfall orderings
dc.subject transfer
dc.subject indices
dc.subject Sozialtransfer
dc.subject Einkommensverteilung
dc.subject Disparitätsmass
dc.subject Theorie
dc.title Target Shortfall Orderings and Indices
dc.type doc-type:workingPaper


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