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Theil Inequality Decomposition

The 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.

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Vyanzo

  1. Theil, H. (1967). Economics and Information Theory. Amsterdam: North-Holland. ISBN: 9780444814630
  2. Shorrocks, A. F. (1980). The class of additively decomposable inequality measures. Econometrica, 48(3), 613–625. DOI: 10.2307/1913126

Jinsi ya kunukuu ukurasa huu

ScholarGate. (2026, June 22). Theil Index and Generalized-Entropy Decomposition of Inequality. ScholarGate. https://scholargate.app/sw/economics/theil-inequality-decomposition

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ScholarGateTheil Inequality Decomposition (Theil Index and Generalized-Entropy Decomposition of Inequality). Imepatikana 2026-06-24 kutoka https://scholargate.app/sw/economics/theil-inequality-decomposition · Seti ya data: https://doi.org/10.5281/zenodo.20539026