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Histogram-based interpolation of the Lorenz curve and Gini index for grouped data
Date de parution
2012-10-1
In
The American Statistician
Vol.
4
No
66
De la page
225
A la page
231
Résumé
In grouped data, the estimation of the Lorenz curve without taking into account the within-class variability leads to an overestimation of the curve and an underestimation of the Gini index. We propose a new strictly convex estimator of the Lorenz curve derived from a linear interpolation-based approximation of the cumulative distribution function. Integrating the Lorenz curve, a correction can be derived for the Gini index which takes the intra-class variability into account.
Identifiants
Type de publication
journal article
