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Bereichsschätzungen für Gini-Koeffizient und Herfindahl-Index sowie andere bekannte Disparitäts- und Konzentrationsmaße / Interval Estimation for Gini Coefficient and Herfindahl Index and Other Well Known Measures of Disparity and Concentration

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  • Piesch Walter

    (Universität Hohenheim (520), Institut für Volkswirtschaftslehre, Lehrstuhl für Statistik und Ökonometrie, D-70599 Stuttgart.)

Abstract

Glasser’s inequality enables the connection of unrelated pairs of measures of disparity and concentration. Using the minimal inequality distribution and the first and second regression through the empirical distribution function, we get new insights in the upper and lower bound of the inequality by Glasser. Using this inequality, new bounds for unrelated measures as Gini Coefficient and Herfindahl Index can be derived. Looking at the graph of these bounds confirms empirical results, that in the region of average concentration R lies above H and in the extremes the opposite holds true.

Suggested Citation

  • Piesch Walter, 1998. "Bereichsschätzungen für Gini-Koeffizient und Herfindahl-Index sowie andere bekannte Disparitäts- und Konzentrationsmaße / Interval Estimation for Gini Coefficient and Herfindahl Index and Other Well K," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 217(1), pages 61-71, June.
    • Handle: RePEc:jns:jbstat:v:217:y:1998:i:1:p:61-71
    DOI: 10.1515/jbnst-1998-0108
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