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Lorenz Curve×Index of Dissimilarity×
FieldSociologySociology
FamilyProcess / pipelineProcess / pipeline
Year of origin19051955
OriginatorMax Otto LorenzOtis Dudley Duncan & Beverly Duncan
TypeGraphical representation of distributional inequalityIndex of evenness of two groups across units
Seminal sourceLorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗Duncan, O. D., & Duncan, B. (1955). A methodological analysis of segregation indexes. American Sociological Review, 20(2), 210–217. DOI ↗
AliasesLorenz concentration curve, Lorenz diagram, cumulative share curvedissimilarity index, Duncan index, D index, segregation index
Related55
SummaryThe 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.The index of dissimilarity, often called the Duncan segregation index, measures how unevenly two groups — such as two racial or occupational groups — are distributed across a set of units like neighborhoods, schools, or occupations. It ranges from 0, when both groups have identical distributions across units, to 1, when the units are completely segregated, and has the intuitive interpretation of the share of one group that would have to relocate to achieve an even distribution.
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ScholarGateCompare methods: Lorenz Curve · Index of Dissimilarity. Retrieved 2026-06-24 from https://scholargate.app/en/compare