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Eingrenzung der Lorenzkurve und des Gini-Koeffizienten aus klassierten Daten bei verschiedenen Annahmen über den Informationsstand / Grouping Bounds for the Lorenz Curve and the Gini Index. Under Alternative Assumptions About the Level of Information

Author

Listed:
  • Gasnier Sylvie
  • Jöhnk Max-Detlev

    (Institut für quantitative Wirtschaftsforschung, Universität Hannover, Wunstorfer Str. 14, D-30453 Hannover)

Abstract

If only grouped data are given - for example from income surveys - it is impossible to determine the Lorenz curve and the exact value of the Gini index. J. L. Gastwirth has given bounds for both of them if class means are known. This paper deals with the case of unknown class means. We consider the cases of known as well as unknown overall means. Hulls for the possible Lorenz curves and upper and lower bounds for the Gini index are derived.

Suggested Citation

  • Gasnier Sylvie & Jöhnk Max-Detlev, 1994. "Eingrenzung der Lorenzkurve und des Gini-Koeffizienten aus klassierten Daten bei verschiedenen Annahmen über den Informationsstand / Grouping Bounds for the Lorenz Curve and the Gini Index. Under Alte," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 213(6), pages 724-746, December.
    • Handle: RePEc:jns:jbstat:v:213:y:1994:i:6:p:724-746
    DOI: 10.1515/jbnst-1994-0608
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