Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/105013
Authors: 
Ebert, Udo
Year of Publication: 
2010
Series/Report no.: 
Wirtschaftswissenschaftliche Diskussionspapiere V-325-10
Abstract: 
The paper characterizes the class of weakly decomposable (aggregable) inequality measures which satisfy a new (weak) decomposition (and agregation) property. These measures can be decomposed into the sum of the usual within-group and a between-group term which is based on the inequality between all pairs of individuals belonging to the groups involved. The measures therfore depend on the inequality index for two-person distributions and are proportional to the total sum of the inequality values between all pairs of individuals. Extending Gini's mean difference, the Gini coefficient, and the variance of logarithms we characterize three families of measures. By choosing other basic measures furhter (families of) weakly decomposable measures can be defined.
Subjects: 
Inequality measures
decomposition
aggregation
Gini's mean difference
Gini coefficient
variance of logarithms
JEL: 
D63
D31
C43
Document Type: 
Working Paper

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