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  4. Histogram-Based Interpolation of the Lorenz Curve and Gini Index for Grouped Data
 
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Histogram-Based Interpolation of the Lorenz Curve and Gini Index for Grouped Data

Auteur(s)
TillĂ©, Yves 
Institut de statistique 
Langel, Matti 
Institut de statistique 
In
The American Statistician, Taylor & Francis, 2012/66/4/225-231
Mots-clés
  • Binning
  • Class intervals
  • Income distribution
  • Inequality
  • Binning

  • Class intervals

  • Income distribution

  • Inequality

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 that takes the intraclass variability into account.
Identifiants
https://libra.unine.ch/handle/123456789/4574
_
10.1080/00031305.2012.734197
Type de publication
journal article
Dossier(s) à télécharger
 main article: Till_Y.-Histogram-based-20170602.pdf (128.09 KB)
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