Asymptotic confidence bands for the Lorenz and Bonferroni curves based on the empirical Lorenz curve

DOI10.1016/S0378-3758(98)00103-7zbMath0953.62045OpenAlexW2007090792MaRDI QIDQ1298914

Ričardas Zitikis, Joseph L. Gastwirth, Miklós Csörgő

Publication date: 29 January 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(98)00103-7

zbMATH Keywords

confidence intervalempirical processconfidence bandsLorenz curvequantile processLorenz processVervaat processBonferroni curvesBonferroni processes

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30)

Related Items (11)

Quantile versions of the Lorenz curve ⋮ Generalized Lorenz curves and convexifications of stochastic processes ⋮ ASYMPTOTIC ESTIMATION OF THE E-GINI INDEX ⋮ Validation of positive expectation dependence ⋮ Empirical likelihood-based inferences for the Lorenz curve ⋮ Large sample properties of a new measure of income inequality ⋮ Bonferroni and Gini indices for various parametric families of distributions ⋮ Convex rearrangements of Lévy processes ⋮ Shape-restricted inference for Lorenz curves using duality theory ⋮ Asymptotic consistency of risk functionals ⋮ Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices

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