Abstract
The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these moment-based concepts are sensitive to outliers and so we investigate the extent to which quantile-based versions can capture income inequality and lead to robust procedures. Distribution-free interval estimates of the associated coefficients of inequality are obtained, as well as sample sizes required to estimate them to a given accuracy. Convexity, transference and robustness of the measures are examined and illustrated.
Citation
Luke A. Prendergast. Robert G. Staudte. "Quantile versions of the Lorenz curve." Electron. J. Statist. 10 (2) 1896 - 1926, 2016. https://doi.org/10.1214/16-EJS1154
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