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Palma Ratio×Atkinson Index×Gini Coefficient×Lorenz Curve×
DziedzinaSociologySociologySociologySociology
RodzinaProcess / pipelineProcess / pipelineProcess / pipelineProcess / pipeline
Rok powstania2011 (Palma's finding); 2013–2014 (the ratio)197019121905
TwórcaGabriel Palma; named by Cobham & SumnerAnthony Barnes AtkinsonCorrado GiniMax Otto Lorenz
TypTail-ratio inequality measureWelfare-based, parameterized inequality indexScalar measure of statistical dispersion / inequalityGraphical representation of distributional inequality
Źródło pierwotneCobham, A., & Sumner, A. (2014). Is inequality all about the tails? The Palma measure of income inequality. Significance, 11(1), 10–13. 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 ↗Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗
Inne nazwyPalma index, Palma measure, top10/bottom40 ratioAtkinson inequality measure, Atkinson's A, welfare-based inequality indexGini index, Gini ratio, Gini concentration ratio, GLorenz concentration curve, Lorenz diagram, cumulative share curve
Pokrewne5555
PodsumowanieThe Palma ratio measures income inequality as the ratio of the income share held by the richest 10 percent of the population to the share held by the poorest 40 percent. It rests on the empirical regularity, documented by Gabriel Palma, that the middle deciles (5 through 9) capture a remarkably stable half of national income across countries, so that inequality is essentially a contest between the top and the bottom — the 'tails' of the distribution.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 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.
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