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Articles

Is the Gini Index of Inequality Overly Sensitive to Changes in the Middle of the Income Distribution?

Pages 1-11 | Received 01 Dec 2016, Accepted 01 Jul 2017, Published online: 26 Sep 2017

References

  • Aaron, H. (2015), “Can Taxing the Rich Reduce Inequality? You Bet it Can,” Economic Studies, Washington DC: Brookings Institution.
  • Ahn, K. (1997), “Trends in and Determinants of Income in Korea,” Journal of Economic Development, 22, 27–56.
  • Alison, P. D. (1978), “Measures of Inequality,” American Sociological Review, 43, 865–880.
  • ——— (1979), “Reply to Jasso,” American Sociological Review, 44, 870–872.
  • Atkinson, A. B. (1970), “On the Measurement of Inequality,” Journal of Economic Theory, 2, 244–263.
  • Arnold, B. C. (2015), “On Zenga and Bonferroni Curves,” Metron, 73, 25–30.
  • Australian Bureau of Statistics (2015), “Survey of Income and Housing, User Guide, 2013–2014.”
  • Bird, R. M., and Zolt, E. M. (2015), “Taxation and Inequality in Canada and the United States: Two Stories or One?,” Osgoode Hall Law Journal, 52, 401–426.
  • Bishop, J. A., Chow, K. V., and Formby, J. P. (1991), “A Stochastic Dominance Analysis of Growth, Recessions and the U.S. Income Distribution: 1967–1986,” Southern Economic Journal, 57, 936–946.
  • Borghi, E. (2005), “Trade Openness and Wage Distribution in Chile,” Report 173, Centro di Recerca sui processi di Innovazione e Internazionalizzione.
  • Callan, T., and Keane, C. (2009), “Non-Cash Benefits and the Distribution of Economic Welfare,” The Economic and Social Review, 40, 49–71.
  • Chang, H-J. (2014), Economics: The User's Guide, London: Penguin Books.
  • Cobham, A., and Sumner, A. (2013), “Putting the Gini Back in the Bottle? ‘The Palma’ as a Policy-Relevant Measure of Inequality,” Kings College London, March 15, 2013.
  • Cobham, A., Schlogl, L., and Sumner, A. (2015), “Inequality and the Tails: The Palma Proposition and Ratio Revisited,” DESA Working Paper No. 143. Kings College, London.
  • Cowell, F. (2011), Measuring Inequality (3rd ed.), Oxford: Oxford University Press
  • David, H. A. (1968), “The Gini Mean Difference Rediscovered,” Biometrika, 55, 573–575.
  • David, H. A., and Nagaraja, H. N. (2003) Order Statistics (3rd ed.), New York: Wiley.
  • De Maio, F. G. (2007), “Income Inequality Measures,” Journal of Epidemiology and Community Health, 61, 849–852.
  • DeNavas-Walt, C., and Proctor, R. D. (2014), “Income and Poverty in the United States: 2013,” CPS Report 249 U.S. Bureau of the Census.
  • Dorling, D. A. (2014), Inequality and the 1%, London: Verso Books.
  • Foster, J., Seth, S., Lokshin, M., and Sajaia, Z (2013), A Unified Approach to Measuring Poverty and Inequality, Washington, DC: The World Bank.
  • Fremeaux, N., and Picketty, T. (2014), “France: How Taxation Can Increase Inequality” in Changing Inequalities & Social Impacts in Rich Countries eds. Nolan, B., Salverda, W., Checci, D., Marx, I, McKnight, A., Toth, I.G., and van der Werfhorst, H. Oxford: Oxford University Press.
  • Gale, W. G., Kearney, M. S., and Orszag, P. (2015), “Would a Significant Increase in the Top Income Tax Rate Substantially Alter Inequality?” Available at http://www.brookings.edu/research/papers/2015/09/28.
  • Gastwirth, J. L. (1972), “Robust Estimation of the Lorenz Curve and Gini index,” Review of Economics and Statistics, 54, 306–316.
  • ——— (2014), “Median-Based Measures of Inequality: Reassessing the Increase in Income Inequality in the U.S. and Sweden,” Statistical Journal of the IAOS, 30, 311–320.
  • ——— (2016), “Measures of Economic Inequality Focusing on the Status of the Lower and Middle Income Groups,” Statistics and Public Policy, 3, 1, 1–9.
  • Giorgi, G. M. (1990), “Bibliographic Portrait of the Gini Concentration Ratio,” Metron, 48, 183–221.
  • Giorgi, G. M., and Gigliarano, C. (2016), “The Gini Concentration Index: A Review of the Inference Literature,” Journal of Economic Surveys, 31 (to appear) available on-line, DOI: 10.1111/joes.12185.
  • Green, G. W. Jr., Coder, J., and Ryscavage, P. (1994), “Earnings Inequality for Men in the 1980s,” in Aspects of Distribution of Wealth and Income ed. P. Papadimitriou. London: Macmillan.
  • Greselin, F., Puri, M. L., and Zitikis, R.(2009), “L-Functions, Process and Statistics in Measuring Economic Inequality and Actuarial Risks,” Statistics and Its Interface, 2 (2), 227–246.
  • Hesse, J-O. (2016), “Fact or Fiction? Complexities of Economic Inequality in Twentieth Century Germany,” in The Contradictions of Capital in the Twenty-first Century ed. Hudson, P., and Tribe, K. Newcastle upon Tyne, UK: Agenda.
  • Hoffman, R. (2001), “Effect of the Rise of a Person's Income on Inequality,” Brazilian Review of Econometrics, 21, 237–262.
  • Hoy, M., and Huang, R. (2017), “Measuring Discrimination using Principles of Stochastic Dominance,” Journal of Economic Theory, 167, 39–52.
  • Jasso, G. (1979), “On Gini's Mean Difference and Gini's Index of Concentration,” American Sociological Review, 44, 870–872.
  • Jenkins, S. P. (2009), “Distributionally Sensitive Inequality Indices and the GB2 Income Distribution,” Review of Income and Wealth, 55, 392–398.
  • Jones, A. F. Jr., and Weinberg, D. H. (2000), The Changing Shape of the Nation's Income Distribution, Current Population Reports P60–204. Washington DC: U.S. Census Bureau.
  • Kendall, M. G., and Stuart, A. (1977), The Advanced Theory of Statistics, vol. I. London: Griffin.
  • Krozer, A. (2015), “The Inequality We Want: How Much is too Much?” WIDER Working Paper 2015/15. World Institute for Development Economics Research.
  • Lambert, P. I., and Decoster, A. (2005), “The Gini Coefficient Reveals More,” Metron, 63, 373–400.
  • Le Breton, M., Michelangeli, A., and Peluso, E. (2012), “A Stochastic Dominance Approach to the Measurement of Discrimination,” Journal of Economic Theory,” 147, 1342–1350.
  • Levy, H. (2016), Stochastic Dominance: Investment Decisions under Uncertainty (3rd ed.), New York: Springer.
  • Lutkebohmert, E. (2009), Concentration in Risk Portfolios, Berlin: Springer.
  • Madden, J. F. (2000), Change in Income Inequality within U.S. Metropolitan Areas, Kalamazoo, MI: W.E. Upjohn Institute.
  • Mehran, F. (1976), “Linear Measures of Income Inequality,” Econometrica, 44, 805–809.
  • Newbery, S. (1970). “A Theorem on the Measurement of Inequality,” Journal of Economic Theory, 2, 264–266.
  • OECD (2013), OECD Guidelines for Micro Statistics on Household Wealth.
  • Pak, T-Y, Ferreira, S., and Colson, G. (2016), “Measuring and Tracking Obesity Inequality in the United States: Evidence from NHANES, 1971–2014,” Population Health Metrics, 14, 12.
  • Palma, G. (2011), “Homogeneous Middles vs. Heterogeneous Tails, and the End of the ‘Inverted-U’,” Development and Change, 42, 87–153.
  • Pressman, S. (2013), “Cross National Comparisons of Poverty and Income Inequality,” in The Economics of Inequality, Poverty, and Discrimination in the 21st Century ed. Rycroft, R.S., Santa Barbara, CA: Praeger.
  • Roberts, A., and Willits, D. (2015), “Income Inequality and Homicide in the United States: Consistency Across Different Income Inequality Measures and Disaggregated Homicide Types,” Homicide Studies, 19, 28–57.
  • Salas, R., Bishop, J. A., and Zaeger, L. A. (2017), “Second-Order Discrimination and Generalized Lorenz Dominance,” Review of Income and Wealth (to appear) available online, DOI: 10.111/roiw.12310.
  • Schmid, F. (1991), “Zur Sensitivitat von Disparitatsmassen,” Allgemeine Statistishes Archiv, 75, 155–167.
  • Schmid, K. D., and Stein, U. (2013), Explaining Rising Income Inequality in Germany: 1991–2010, Dusseldorf: Macroeconomic Policy Institute (IMK) Study 32.
  • Sen, A. (1974), “Informational Bases of Alternative Welfare Approaches,” Journal of Public Economics, 3, 387–403.
  • Sheshinksi, E. (1972), “Relation Between a Social Welfare Function and the Gini Index of Inequality,” Journal of Economic Theory, 4, 98–100.
  • Sordo, M. A., Navarro, J., and Sarabia, J. M. (2014), “Distorted Lorenz Curves: Models and Comparisons,” Social Choice and Welfare, 42, 761–780.
  • Sudheesh, K. K., and Dewan, I. (2013), “A Simple Non-parametric Estimator of the Gini Index,” Preprint series, Indian Statistical Institute at Delhi.
  • Thewissen, S., Kenworthy, L., Nolan, B., Roser, M., and Smeeding, T. (2015), “Rising Income Inequality and Living Standards in OECD Countries: How Does the Middle Fare?” LIS Working Paper Series, No. 656.
  • Thon, D. (1982), “An Axiomatization of the Gini Coefficient,” Mathematical Social Sciences, 2, 131–143.
  • Thon, D., and Wallace, S. W. (2004), “Dalton Transfers, Inequality and Altruism,” Social Choice and Welfare, 22, 447–465.
  • Wikipedia. (n.d.), Palma ratio. In “ Income inequality metrics,” Wikipedia. Available at https://en.wikipedia.org/wiki/Income_inequality_metrics
  • Williams, R. F. G., and Doessel, D. P. (2006), “Measuring Inequality: Tools and an Illustration,” International Journal for Equity in Health, 5, 1–8.
  • Yitzhaki, S. (1988), “Stochastic Dominance, Mean Variance, and Gini's Mean Difference,” American Economic Review, 72, 178–185.
  • ——— (2003), “Gini's Mean Difference: A Superior Measure of Variability for Non-normal Distributions,” METRON, 61, 285–316.
  • Yitzhaki, S., and Schectman, E. (2013), The Gini Methodology: A Statistical Primer, New York: Springer.