方法对比

	Palma Ratio	Atkinson Index	Lorenz Curve
领域	Sociology	Sociology	Sociology
方法族	Process / pipeline	Process / pipeline	Process / pipeline
起源年份	2011 (Palma's finding); 2013–2014 (the ratio)	1970	1905
提出者	Gabriel Palma; named by Cobham & Sumner	Anthony Barnes Atkinson	Max Otto Lorenz
类型	Tail-ratio inequality measure	Welfare-based, parameterized inequality index	Graphical representation of distributional inequality
开创性文献	Cobham, A., & Sumner, A. (2014). Is inequality all about the tails? The Palma measure of income inequality. Significance, 11(1), 10–13.	Atkinson, A. B. (1970). On the measurement of inequality. Journal of Economic Theory, 2(3), 244–263.	Lorenz, M. O. (1905). Methods of measuring the concentration of wealth. Publications of the American Statistical Association, 9(70), 209–219.
别名	Palma index, Palma measure, top10/bottom40 ratio	Atkinson inequality measure, Atkinson's A, welfare-based inequality index	Lorenz concentration curve, Lorenz diagram, cumulative share curve
相关	5	5	5
摘要	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.	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 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.