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Can a single indicator measure both attainment and shortfall inequality?


  • Erreygers, Guido


When a distribution can be described either in terms of attainment or in terms of shortfall, the classical inequality measures appear to be one-sided. I show that it is possible to find indicators which simultaneously measure attainment and shortfall inequality. I derive one indicator belonging to the Gini family, and another belonging to Coefficient of Variation family. I also indicate how they are connected to other measures.

Suggested Citation

  • Erreygers, Guido, 2009. "Can a single indicator measure both attainment and shortfall inequality?," Journal of Health Economics, Elsevier, vol. 28(4), pages 885-893, July.
  • Handle: RePEc:eee:jhecon:v:28:y:2009:i:4:p:885-893

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    References listed on IDEAS

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    7. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-1385, November.
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    11. P. Congdon & H. Southall, 2005. "Trends in inequality in infant mortality in the north of England, 1921-1973, and their association with urban and social structure," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 168(4), pages 679-700.
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    15. Erreygers, Guido, 2009. "Correcting the Concentration Index," Journal of Health Economics, Elsevier, vol. 28(2), pages 504-515, March.
    16. Zheng, Buhong, 1994. "Can a Poverty Index Be Both Relative and Absolute?," Econometrica, Econometric Society, vol. 62(6), pages 1453-1458, November.
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    Cited by:

    1. van Kippersluis, Hans & Van Ourti, Tom & O'Donnell, Owen & van Doorslaer, Eddy, 2009. "Health and income across the life cycle and generations in Europe," Journal of Health Economics, Elsevier, vol. 28(4), pages 818-830, July.
    2. Lambert, Peter & Zheng, Buhong, 2011. "On the consistent measurement of attainment and shortfall inequality," Journal of Health Economics, Elsevier, vol. 30(1), pages 214-219, January.
    3. Lasso de la Vega, Casilda & Aristondo, Oihana, 2012. "Proposing indicators to measure achievement and shortfall inequality consistently," Journal of Health Economics, Elsevier, vol. 31(4), pages 578-583.


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