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Lorenz Curve×Theil Segregation Index×
क्षेत्रSociologySociology
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष19051971
प्रवर्तकMax Otto LorenzHenri Theil & Anthony Finizza
प्रकारGraphical representation of distributional inequalityEntropy-based multigroup segregation index
मौलिक स्रोतLorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗Theil, H., & Finizza, A. J. (1971). A note on the measurement of racial integration of schools by means of informational concepts. Journal of Mathematical Sociology, 1(2), 187–193. DOI ↗
उपनामLorenz concentration curve, Lorenz diagram, cumulative share curveTheil's H, information theory index, entropy segregation index, multigroup entropy index
संबंधित55
सारांशThe Lorenz curve is a graphical device that displays the full shape of inequality in a distribution by plotting the cumulative share of a quantity (such as income) held by the cumulative share of the population, ranked from poorest to richest. Introduced by Max Lorenz in 1905, it underlies the Gini coefficient and provides the basis for ranking distributions by inequality when one curve lies entirely above another.Theil's information index, denoted H, is an entropy-based measure of segregation that, unlike the two-group dissimilarity index, handles any number of groups at once. It compares the diversity (entropy) found within each unit to the diversity of the whole population: segregation is high when units are internally homogeneous even though the overall population is diverse. Its defining virtue is exact decomposability across nested levels and across groups.
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