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Lorenz Curve×Atkinson Index×Gini Coefficient×Index of Dissimilarity×
ValdkondSociologySociologySociologySociology
PerekondProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Tekkeaasta1905197019121955
LoojaMax Otto LorenzAnthony Barnes AtkinsonCorrado GiniOtis Dudley Duncan & Beverly Duncan
TüüpGraphical representation of distributional inequalityWelfare-based, parameterized inequality indexScalar measure of statistical dispersion / inequalityIndex of evenness of two groups across units
AlgallikasLorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗Atkinson, A. B. (1970). On the measurement of inequality. Journal of Economic Theory, 2(3), 244–263. DOI ↗Ceriani, L., & Verme, P. (2012). The origins of the Gini index: extracts from Variabilità e Mutabilità (1912) by Corrado Gini. The Journal of Economic Inequality, 10(3), 421–443. DOI ↗Duncan, O. D., & Duncan, B. (1955). A methodological analysis of segregation indexes. American Sociological Review, 20(2), 210–217. DOI ↗
RööpnimetusedLorenz concentration curve, Lorenz diagram, cumulative share curveAtkinson inequality measure, Atkinson's A, welfare-based inequality indexGini index, Gini ratio, Gini concentration ratio, Gdissimilarity index, Duncan index, D index, segregation index
Seotud5555
KokkuvõteThe 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 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.The Gini coefficient is the most widely used single-number summary of inequality in a distribution such as income or wealth. Introduced by the Italian statistician Corrado Gini in 1912, it equals twice the area between the Lorenz curve and the line of perfect equality, ranging from 0 when everyone has the same amount to a maximum approaching 1 when one unit holds everything.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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ScholarGateVõrdle meetodeid: Lorenz Curve · Atkinson Index · Gini Coefficient · Index of Dissimilarity. Loetud 2026-06-25 aadressilt https://scholargate.app/et/compare