The Bias of the Gini Coefficient due to Grouping
AbstractWe propose a first order bias correction term for the Gini index to reduce the bias due to grouping. The first order correction term is obtained from studying the estimator of the Gini index within a measurement error framework. In addition, it reveals an intuitive formula for the remaining second order bias which is useful in empirical analyses. We analyze the empirical performance of our first order correction term using income data for 15 European countries and the US, and show that it reduces a considerable share of the bias due to grouping.
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Bibliographic InfoPaper provided by Tinbergen Institute in its series Tinbergen Institute Discussion Papers with number 08-095/3.
Date of creation: 09 Oct 2008
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Gini index; grouped data; measurement error; first-order correction;
Find related papers by JEL classification:
- C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
- D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
- I30 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-12-14 (All new papers)
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- van Praag, Bernard M S & Hagenaars, Aldi J M & van Eck, Wim, 1983. "The Influence of Classification and Observation Errors on the Measurement of Income Inequality," Econometrica, Econometric Society, vol. 51(4), pages 1093-108, July.
- Ryu, Hang K. & Slottje, Daniel J., 1996. "Two flexible functional form approaches for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 251-274.
- Villasenor, JoseA. & Arnold, Barry C., 1989. "Elliptical Lorenz curves," Journal of Econometrics, Elsevier, vol. 40(2), pages 327-338, February.
- 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.
- Mills, Jeffrey A & Zandvakili, Sourushe, 1997.
"Statistical Inference via Bootstrapping for Measures of Inequality,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 12(2), pages 133-50, March-Apr.
- Jeffrey A. Mills & Sourushe Zandvakili, 1999. "Statistical Inference via Bootstrapping for Measures of Inequality," Macroeconomics 9902003, EconWPA.
- Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
- Pradhan, Menno & Sahn, David E. & Younger, Stephen D., 2003.
"Decomposing world health inequality,"
Journal of Health Economics,
Elsevier, vol. 22(2), pages 271-293, March.
- Tomson Ogwang, 2003. "Bounds of the Gini Index Using Sparse Information on Mean Incomes," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 49(3), pages 415-423, 09.
- Luigi Buzzacchi & Tommaso Valletti, 1999.
"Firm size distribution: testing the "independent submarkets model" in the Italian motor insurance industry,"
LSE Research Online Documents on Economics
6749, London School of Economics and Political Science, LSE Library.
- Buzzacchi, Luigi & Valletti, Tommaso M., 2006. "Firm size distribution: Testing the "independent submarkets model" in the Italian motor insurance industry," International Journal of Industrial Organization, Elsevier, vol. 24(4), pages 809-834, July.
- Buzzacchi, Luigi & Valletti, Tommaso, 2002. "Firm Size Distribution: Testing the 'Independent Submarkets Model' in the Italian Motor Insurance Industry," CEPR Discussion Papers 3444, C.E.P.R. Discussion Papers.
- Luigi Buzzacchi & Tommaso Valetti, 1999. "Firm Size Distribution: Testing the "Independent Submarkets Model" in the Italian Motor Insurance Industry," STICERD - Economics of Industry Papers 24, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Kristina Burström & Magnus Johannesson & Finn Diderichsen, 2005. "Increasing socio-economic inequalities in life expectancy and QALYs in Sweden 1980-1997," Health Economics, John Wiley & Sons, Ltd., vol. 14(8), pages 831-850.
- Schader, Martin & Schmid, Friedrich, 1994. "Fitting Parametric Lorenz Curves to Grouped Income Distributions--A Critical Note," Empirical Economics, Springer, vol. 19(3), pages 361-70.
- Murray, David, 1978. "Extreme values for Gini coefficients calculated from grouped data," Economics Letters, Elsevier, vol. 1(4), pages 389-393.
- Datt, Gaurav & Ravallion, Martin, 1992. "Growth and redistribution components of changes in poverty measures : A decomposition with applications to Brazil and India in the 1980s," Journal of Development Economics, Elsevier, vol. 38(2), pages 275-295, April.
- 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.
- Fuller, Mike, 1979. "The estimation of Gini coefficients from grouped data : Upper and Lower Bounds," Economics Letters, Elsevier, vol. 3(2), pages 187-192.
- Wagstaff, Adam & Paci, Pierella & van Doorslaer, Eddy, 1991. "On the measurement of inequalities in health," Social Science & Medicine, Elsevier, vol. 33(5), pages 545-557, January.
- Aisling Reynolds-Feighan, 2007. "Competing Networks, Spatial and Industrial Concentration in the US Airline Industry," Spatial Economic Analysis, Taylor & Francis Journals, vol. 2(3), pages 237-257.
- Blyde, Juan S., 2006. "Convergence Dynamics in Mercosur," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 21, pages 784-815.
- Kakwani, Nanak & Wagstaff, Adam & van Doorslaer, Eddy, 1997. "Socioeconomic inequalities in health: Measurement, computation, and statistical inference," Journal of Econometrics, Elsevier, vol. 77(1), pages 87-103, March.
- Tomson Ogwang, 2006. "An Upper Bound Of The Gini Index In The Absence Of Mean Income Information," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 52(4), pages 643-652, December.
- Chen, Chau-Nan & Tsaur, Tien-Wang & Rhai, Tong-Shieng, 1982. "The Gini Coefficient and Negative Income," Oxford Economic Papers, Oxford University Press, vol. 34(3), pages 473-78, November.
- George Deltas, 2003. "The Small-Sample Bias of the Gini Coefficient: Results and Implications for Empirical Research," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 226-234, February.
- Erreygers G. & Clarke Ph. & Van Ourti T., 2010. "Mirror, mirror, on the wall, who in this land is fairest of all? Revisiting the extended concentration index," Working Papers 2010015, University of Antwerp, Faculty of Applied Economics.
- Clarke, Philip & Van Ourti, Tom, 2010. "Calculating the concentration index when income is grouped," Journal of Health Economics, Elsevier, vol. 29(1), pages 151-157, January.
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