Pair-Based Decomposable Inequality Measures

Stéphane Mussard

Working Papers from LAMETA, Universtiy of Montpellier

Abstract: Four 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.

Pages: 14 pages
Date: 2010-11, Revised 2010-11
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.lameta.univ-montp1.fr/Documents/DR2010-15.pdf First version, 2010 (application/pdf)
Our link check indicates that this URL is bad, the error code is: 500 Can't connect to www.lameta.univ-montp1.fr:80 (No such host is known. )

Related works:
Working Paper: Pair-Based Decomposable Inequality Measures (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:lam:wpaper:10-15

Access Statistics for this paper

More papers in Working Papers from LAMETA, Universtiy of Montpellier Contact information at EDIRC.
Bibliographic data for series maintained by Patricia Modat ( this e-mail address is bad, please contact ).