Teresa Kowalczyk
Decomposition of the Concentration Index
and Its implications for the Gini Inequality
and Dependence Measures
856
Abstract
A weak additive subgroups decomposition of the concentration index and of
the absolute concentration index onto three terms B+W+R (Between, Within
and Rest) is derived and applied to the Gini Inequality Index as well as
the Gini Dependence Index and Gini Absolute Dependence Index. The B+W+R
decompositions of the Gini Indices are then compared with covariance-based
decompositions consisting of two terms (B+W) only. The results are
illustrated by an analysis of a household survey data.
Key Words and Phrases:
concentration curves; dependence; diversity;
Gini matrix; household survey data, inequality; Lorenz curve;
subgroups decomposition.
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