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Theil Inequality Decomposition×Atkinson Index×
क्षेत्रअर्थशास्त्रSociology
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष19671970
प्रवर्तकHenri Theil (1967); decomposition class by Anthony Shorrocks (1980)Anthony Barnes Atkinson
प्रकारDecomposable inequality measureWelfare-based, parameterized inequality index
मौलिक स्रोतTheil, H. (1967). Economics and Information Theory. Amsterdam: North-Holland. ISBN: 9780444814630Atkinson, A. B. (1970). On the measurement of inequality. Journal of Economic Theory, 2(3), 244–263. DOI ↗
उपनामTheil Index, Theil's T and L, Generalized Entropy Decomposition, Within-Between Inequality DecompositionAtkinson inequality measure, Atkinson's A, welfare-based inequality index
संबंधित35
सारांशThe 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 Atkinson index is a welfare-based measure of inequality that incorporates an explicit, analyst-chosen parameter for how much society dislikes inequality. Introduced by Anthony Atkinson in 1970, it asks what fraction of total income could be discarded, under an equal distribution, while leaving social welfare unchanged — making the ethical judgement behind any inequality comparison transparent rather than hidden.
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