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Lorenz Curve×Palma Ratio×
क्षेत्रSociologySociology
परिवारProcess / pipelineProcess / pipeline
उद्भव वर्ष19052011 (Palma's finding); 2013–2014 (the ratio)
प्रवर्तकMax Otto LorenzGabriel Palma; named by Cobham & Sumner
प्रकारGraphical representation of distributional inequalityTail-ratio inequality measure
मौलिक स्रोतLorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219. DOI ↗Cobham, A., & Sumner, A. (2014). Is inequality all about the tails? The Palma measure of income inequality. Significance, 11(1), 10–13. DOI ↗
उपनामLorenz concentration curve, Lorenz diagram, cumulative share curvePalma index, Palma measure, top10/bottom40 ratio
संबंधित55
सारांशThe 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 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.
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