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On Calculation of the Extended Gini Coefficient

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  • Chotikapanich, D.
  • Griffiths, W.

Abstract

The conventional formula for estimating the extended Gini coefficient is a covariance formula provided by Lerman and Yitzhaki (1989). We suggest an alternative estimator obtained by approximating the Lorenz curve by a series of linear segments. In a Monte Carlo experiment designed to assess the relative bias and efficiency of the two estimators, we find that, when using grouped data with 20 or less groups, our new estimator has less bias and lower mean squared error than the covariance estimator. When individual observations are used, or the number of groups is 30 or more, there is little or no difference in the performance of the two estimators.

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Bibliographic Info

Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 801.

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Length: 12 pages
Date of creation: 2001
Date of revision:
Handle: RePEc:mlb:wpaper:801

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Keywords: ESTIMATORS ; COEFFICIENTS ; EFFICIENCY;

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References

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  1. Lerman, Robert I. & Yitzhaki, Shlomo, 1989. "Improving the accuracy of estimates of Gini coefficients," Journal of Econometrics, Elsevier, vol. 42(1), pages 43-47, 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. Singh, S K & Maddala, G S, 1976. "A Function for Size Distribution of Incomes," Econometrica, Econometric Society, vol. 44(5), pages 963-70, September.
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Citations

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Cited by:
  1. Jeroen Hinloopen & Charles van Marrewijk, 2005. "Comparing Distributions: The Harmonic Mass Index," Tinbergen Institute Discussion Papers 05-122/1, Tinbergen Institute, revised 30 Dec 2005.
  2. Araceli Ortega Diaz, 2004. "Assesment of the relationship between Inequality and Economic Growth: A panel Data Approach," Econometric Society 2004 Latin American Meetings 261, Econometric Society.
  3. Chameni Nembua, Célestin, 2008. "Measuring and explaining economic inequality: An extension of the Gini coefficient," MPRA Paper 31242, University Library of Munich, Germany, revised 2010.
  4. Célestin Chameni Nembua, 2006. "Linking Gini to Entropy : Measuring Inequality by an interpersonal class of indices," Economics Bulletin, AccessEcon, vol. 4(5), pages 1-9.
  5. Essama-Nssah, B., 2002. "Assessing the distributional impact of public policy," Policy Research Working Paper Series 2883, The World Bank.
  6. Rolf Aaberge, 2007. "Gini’s nuclear family," Journal of Economic Inequality, Springer, vol. 5(3), pages 305-322, December.
  7. Theodoros M. Diasakos & Florence Neymotin, 2011. "Community Matters: How the Volunteering of Others Affects One's Likelihood of Engaging in Volunteer Work," Carlo Alberto Notebooks 209, Collegio Carlo Alberto.
  8. Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433.
  9. Theodoros M. Diasakos & Florence Neymotin, 2014. "Coordination in Public Good Provision: How Individual Volunteering is Impacted by the Volunteering of Others," Discussion Paper Series, Department of Economics 201402, Department of Economics, University of St. Andrews.
  10. Jeroen Hinloopen & Charles van Marrewijk, 2004. "Dynamics of Chinese Comparative Advantage," Tinbergen Institute Discussion Papers 04-034/2, Tinbergen Institute.
  11. Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
  12. repec:ebl:ecbull:v:4:y:2006:i:5:p:1-9 is not listed on IDEAS
  13. Jeroen Hinloopen & Charles van Marrewijk, 2005. "Comparing Distributions: The Harmonic Mass Index," Tinbergen Institute Discussion Papers 05-122/1, Tinbergen Institute, revised 30 Dec 2005.
  14. Heshmati, Almas, 2004. "A Review of Decomposition of Income Inequality," IZA Discussion Papers 1221, Institute for the Study of Labor (IZA).
  15. Heshmati, Almas, 2004. "Inequalities and Their Measurement," IZA Discussion Papers 1219, Institute for the Study of Labor (IZA).
  16. Jeroen Hinloopen & Charles van Marrewijk, 2004. "Dynamics of Chinese Comparative Advantage," Tinbergen Institute Discussion Papers 04-034/2, Tinbergen Institute.

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