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Theil Inequality Decomposition×Gini Coefficient×
분야경제학Sociology
계열Process / pipelineProcess / pipeline
기원 연도19671912
창시자Henri Theil (1967); decomposition class by Anthony Shorrocks (1980)Corrado Gini
유형Decomposable inequality measureScalar measure of statistical dispersion / inequality
원전Theil, H. (1967). Economics and Information Theory. Amsterdam: North-Holland. ISBN: 9780444814630Ceriani, L., & Verme, P. (2012). The origins of the Gini index: extracts from Variabilità e Mutabilità (1912) by Corrado Gini. The Journal of Economic Inequality, 10(3), 421–443. DOI ↗
별칭Theil Index, Theil's T and L, Generalized Entropy Decomposition, Within-Between Inequality DecompositionGini index, Gini ratio, Gini concentration ratio, G
관련35
요약The Theil index, introduced by Henri Theil in 1967 by importing Shannon's information theory into economics, measures income inequality as the divergence between each unit's income share and its population share. Its defining advantage is exact additive decomposability: total inequality splits cleanly into a within-group component (inequality inside each subgroup) and a between-group component (inequality between subgroup means). Theil's T and its companion L (mean log deviation) are the two best-known members of the generalized-entropy class, which Anthony Shorrocks showed in 1980 to be the only inequality measures that are additively decomposable in this way.The Gini coefficient is the most widely used single-number summary of inequality in a distribution such as income or wealth. Introduced by the Italian statistician Corrado Gini in 1912, it equals twice the area between the Lorenz curve and the line of perfect equality, ranging from 0 when everyone has the same amount to a maximum approaching 1 when one unit holds everything.
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