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Palma Ratio×Lorenz Curve×
حوزهSociologySociology
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش2011 (Palma's finding); 2013–2014 (the ratio)1905
پدیدآورGabriel Palma; named by Cobham & SumnerMax Otto Lorenz
نوعTail-ratio inequality measureGraphical representation of distributional inequality
منبع بنیادینCobham, A., & Sumner, A. (2014). Is inequality all about the tails? The Palma measure of income inequality. Significance, 11(1), 10–13. DOI ↗Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗
نام‌های دیگرPalma index, Palma measure, top10/bottom40 ratioLorenz concentration curve, Lorenz diagram, cumulative share curve
مرتبط55
خلاصهThe 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 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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ScholarGateمقایسهٔ روش‌ها: Palma Ratio · Lorenz Curve. بازیابی‌شده در 2026-06-25 از https://scholargate.app/fa/compare