Pair-Based Decomposable Inequality Measures
AbstractFour axioms are introduced in order to characterize the family of pair-based decomposable inequality measures, which is embraced in the class of weakly decomposable inequality measures. Three axioms, namely, normalization by pairs, aggregation by pairs, and decomposition by pairs enable the pair-based family of inequality measures to be deduced and to be decomposed into within- and between-group components. The weights of population shares that bring out those within- and between-group estimators have the particularity to be unique and to sum to unity. By invoking the fourth axiom of symmetry by pairs, it is proved that pair-based inequality measures and their two decomposed components are U-statistics, so that, statistical information may be inferred.
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Bibliographic InfoPaper provided by LAMETA, Universtiy of Montpellier in its series Working Papers with number 10-15.
Length: 14 pages
Date of creation: Nov 2010
Date of revision: Nov 2010
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Other versions of this item:
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-05-07 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Antonio Abatemarco, 2010.
"Measuring inequality of opportunity through between-group inequality components,"
Journal of Economic Inequality,
Springer, vol. 8(4), pages 475-490, December.
- Abatemarco, Antonio, 2008. "Measuring Inequality of Opportunity through Between-Group Inequality Components," IRISS Working Paper Series 2008-11, IRISS at CEPS/INSTEAD.
- Silber, Jacques, 1993. "Inequality Decomposition by Income," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 545-47, August.
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