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Gini’s Mean difference: a superior measure of variability for non-normal distributions

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  • Shlomo Yitzhaki

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File URL: ftp://metron.sta.uniroma1.it/RePEc/articoli/2003-2-285-316.pdf
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Bibliographic Info

Article provided by Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome in its journal Metron.

Volume (Year): LXI (2003)
Issue (Month): 2 ()
Pages: 285-316

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Handle: RePEc:mtn:ancoec:030208

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  1. 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.
  2. Jorgenson, Dale W & Slesnick, Daniel T, 1984. "Aggregate Consumer Behaviour and the Measurement of Inequality," Review of Economic Studies, Wiley Blackwell, vol. 51(3), pages 369-92, July.
  3. Rockinger, M. & Jondeau, E., 2001. "Conditional Dependency of Financial Series: An Application of Copulas," Working papers 82, Banque de France.
  4. Milanovic, Branko & Yitzhaki, Shlomo, 2002. "Decomposing World Income Distribution: Does the World Have a Middle Class?," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(2), pages 155-78, June.
  5. Levy, H & Markowtiz, H M, 1979. "Approximating Expected Utility by a Function of Mean and Variance," American Economic Review, American Economic Association, vol. 69(3), pages 308-17, June.
  6. Yitzhaki, Shlomo & Lerman, Robert I, 1991. "Income Stratification and Income Inequality," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 37(3), pages 313-29, September.
  7. Yitzhaki, Shlomo, 1982. "Stochastic Dominance, Mean Variance, and Gini's Mean Difference," American Economic Review, American Economic Association, vol. 72(1), pages 178-85, March.
  8. Silber, Jacques, 1989. "Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality," The Review of Economics and Statistics, MIT Press, vol. 71(1), pages 107-15, February.
  9. Haim Shalit & Shlomo Yitzhaki, 2005. "The Mean-Gini Efficient Portfolio Frontier," Journal of Financial Research, Southern Finance Association & Southwestern Finance Association, vol. 28(1), pages 59-75.
  10. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
  11. DAVIDSON, Russell & DUCLOS, Jean-Yves, 1995. "Statistical Inference for the Measurement of the Incidences of Taxes and Transfers," Cahiers de recherche 9521, Université Laval - Département d'économique.
  12. Grether, David M., 1974. "Correlations with ordinal data," Journal of Econometrics, Elsevier, vol. 2(3), pages 241-246, September.
  13. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  14. Rockinger, M. & Jondeau, E., 2001. "Conditional Dependency of Financial Series: An Application of Copulas," Working papers 82, Banque de France.
  15. Shlomo Yitzhaki & Joel Slemrod, 1987. "Welfare Dominance: An Application to Commodity Taxation," NBER Working Papers 2451, National Bureau of Economic Research, Inc.
  16. Kakwani, Nanak C, 1977. "Applications of Lorenz Curves in Economic Analysis," Econometrica, Econometric Society, vol. 45(3), pages 719-27, April.
  17. Yitzhaki, Shlomo, 1994. "Economic distance and overlapping of distributions," Journal of Econometrics, Elsevier, vol. 61(1), pages 147-159, March.
  18. Dagum, Camilo, 1987. "Measuring the Economic Affluence between Populations of Income Receivers," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(1), pages 5-12, January.
  19. Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 335-46, July.
  20. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
  21. Yitzhaki, Shlomo, 1996. "On Using Linear Regressions in Welfare Economics," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 478-86, October.
  22. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  23. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-39, November.
  24. Beach, Charles M & Davidson, Russell, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Wiley Blackwell, vol. 50(4), pages 723-35, October.
  25. Shorrocks, Anthony F, 1983. "The Impact of Income Components on the Distribution of Family Incomes," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 311-26, May.
  26. Suits, Daniel B, 1977. "Measurement of Tax Progressivity," American Economic Review, American Economic Association, vol. 67(4), pages 747-52, September.
  27. Schechtman, E. & Yitzhaki, S., 1999. "On the proper bounds of the Gini correlation," Economics Letters, Elsevier, vol. 63(2), pages 133-138, May.
  28. Yitzhaki, Shlomo, 1990. "On the Sensitivity of a Regression Coefficient to Monotonic Transformations," Econometric Theory, Cambridge University Press, vol. 6(02), pages 165-169, June.
  29. McKenzie, G W & Pearce, I F, 1982. "Welfare Measurement-A Synthesis," American Economic Review, American Economic Association, vol. 72(4), pages 669-82, September.
  30. Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
  31. Shalit, Haim & Yitzhaki, Shlomo, 1984. " Mean-Gini, Portfolio Theory, and the Pricing of Risky Assets," Journal of Finance, American Finance Association, vol. 39(5), pages 1449-68, December.
  32. E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," Journal of Economic Inequality, Springer, vol. 1(2), pages 129-146, August.
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Citations

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Cited by:
  1. Yoel Finkel & Yevgeny Artsev & Shlomo Yitzhaki, 2006. "Inequality measurement and the time structure of household income in Israel," Journal of Economic Inequality, Springer, vol. 4(2), pages 153-179, August.
  2. N. Nair & P. Sankaran & B. Vineshkumar, 2012. "Characterization of distributions by properties of truncated Gini index and mean difference," METRON, Springer, vol. 70(2), pages 173-191, August.
  3. Shlomo Yitzhaki & Edna Schechtman, 2004. "The Gini Instrumental Variable, or the “double instrumental variable” estimator," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 287-313.
  4. Shlomo Yitzhaki & Peter Lambert, 2013. "The relationship between the absolute deviation from a quantile and Gini’s mean difference," METRON, Springer, vol. 71(2), pages 97-104, September.
  5. Elsayed Amir, 2012. "On uses of mean absolute deviation: decomposition, skewness and correlation coefficients," METRON, Springer, vol. 70(2), pages 145-164, August.
  6. 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.

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