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The Class of Additively Decomposable Inequality Measures

A. F. Shorrocks
Econometrica
Vol. 48, No. 3 (Apr., 1980), pp. 613-625
Published by: Econometric Society
DOI: 10.2307/1913126
Stable URL: http://www.jstor.org/stable/1913126
Page Count: 13
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The Class of Additively Decomposable Inequality Measures
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Abstract

An additively decomposable inequality measure is one which can be expressed as aweighted sum of the inequality values calculated for population subgroups plus the contribution arising from differences between subgroup means. The paper derives the entire class of measures which are additively decomposable under relatively weak restrictions on the form of the index. The subclass of mean indepedent measures turns out to be a single parameter family which includes thesquare of the coefficient of variation and two entropy formulae proposed by Theil.

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