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Can a single indicator measure both attainment and shortfall inequality?

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  • Erreygers, Guido

Abstract

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.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Health Economics.

Volume (Year): 28 (2009)
Issue (Month): 4 (July)
Pages: 885-893

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Handle: RePEc:eee:jhecon:v:28:y:2009:i:4:p:885-893

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Web page: http://www.elsevier.com/locate/inca/505560

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Keywords: Inequality measurement Bounded variables Gini coefficient Coefficient of Variation Health inequality;

References

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  1. Lambert, Peter J & Aronson, J Richard, 1993. "Inequality Decomposition Analysis and the Gini Coefficient Revisited," Economic Journal, Royal Economic Society, vol. 103(420), pages 1221-27, September.
  2. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-28, October.
  3. ERREYGERS, Guido, 2006. "Beyond the Health Concentration Index: An Atkinson alternative for the measurement of the socioeconomic inequality of health," Working Papers 2006029, University of Antwerp, Faculty of Applied Economics.
  4. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November.
  5. Takayama, Noriyuki, 1979. "Poverty, Income Inequality, and Their Measures: Professor Sen's Axiomatic Approach Reconsidered," Econometrica, Econometric Society, vol. 47(3), pages 747-59, May.
  6. Shlomo Yitzhaki, 2003. "Gini’s Mean difference: a superior measure of variability for non-normal distributions," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 285-316.
  7. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
  8. Erreygers, Guido, 2009. "Correcting the Concentration Index: A reply to Wagstaff," Journal of Health Economics, Elsevier, vol. 28(2), pages 521-524, March.
  9. 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.
  10. Zheng, Buhong, 1994. "Can a Poverty Index Be Both Relative and Absolute?," Econometrica, Econometric Society, vol. 62(6), pages 1453-58, November.
  11. Clarke, Philip M. & Gerdtham, Ulf-G. & Johannesson, Magnus & Bingefors, Kerstin & Smith, Len, 2002. "On the measurement of relative and absolute income-related health inequality," Social Science & Medicine, Elsevier, vol. 55(11), pages 1923-1928, December.
  12. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-16, August.
  13. ERREYGERS, Guido, 2006. "Correcting the Concentration Index," Working Papers 2006027, University of Antwerp, Faculty of Applied Economics.
  14. Mookherjee, Dilip & Shorrocks, Anthony F, 1982. "A Decomposition Analysis of the Trend in UK Income Inequality," Economic Journal, Royal Economic Society, vol. 92(368), pages 886-902, December.
  15. Sen, Amartya, 1981. "Public Action and the Quality of Life in Developing Countries," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 43(4), pages 287-319, November.
  16. Chakravarty, Satya R, 1988. "Extended Gini Indices of Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 147-56, February.
  17. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
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Cited by:
  1. 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.
  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. 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.

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