手法を比較

	Lorenz Curve	Theil Segregation Index
分野	Sociology	Sociology
系統	Process / pipeline	Process / pipeline
提唱年	1905	1971
提唱者	Max Otto Lorenz	Henri Theil & Anthony Finizza
種類	Graphical representation of distributional inequality	Entropy-based multigroup segregation index
原典	Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219.	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.
別名	Lorenz concentration curve, Lorenz diagram, cumulative share curve	Theil's H, information theory index, entropy segregation index, multigroup entropy index
関連	5	5
概要	The 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.