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A Family of Correlation Coefficients Based on the Extended Gini Index

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  • E. Schechtman
  • S. Yitzhaki

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  • E. Schechtman & S. Yitzhaki, 2003. "A Family of Correlation Coefficients Based on the Extended Gini Index," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 129-146, August.
    • Handle: RePEc:kap:jecinq:v:1:y:2003:i:2:p:129-146
    DOI: 10.1023/A:1026152130903
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    1. Richard V. Burkhauser & John G. Poupore, 1997. "A Cross-National Comparison Of Permanent Inequality In The United States And Germany," The Review of Economics and Statistics, MIT Press, vol. 79(1), pages 10-17, February.
    2. Gregory-Allen, Russell B & Shalit, Haim, 1999. "The Estimation of Systematic Risk under Differentiated Risk Aversion: A Mean-Extended Gini Approach," Review of Quantitative Finance and Accounting, Springer, vol. 12(2), pages 135-157, March.
    3. Quentin Wodon & Shlomo Yitzhaki, 2003. "Inequality and the accounting period," Economics Bulletin, AccessEcon, vol. 4(36), pages 1-8.
    4. Samuel Kotz & Christian Kleiber, 2002. "A characterization of income distributions in terms of generalized Gini coefficients," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 789-794.
    5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    6. Donaldson, David & Weymark, John A., 1983. "Ethically flexible gini indices for income distributions in the continuum," Journal of Economic Theory, Elsevier, vol. 29(2), pages 353-358, April.
    7. Wodon, Quentin & Yitzhaki, Shlomo, 2002. "Inequality and Social Welfare," MPRA Paper 12298, University Library of Munich, Germany.
    8. Richard Blundell & Ian Preston, 1998. "Consumption Inequality and Income Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(2), pages 603-640.
    9. Fisher Jonathan D & Johnson David S, 2006. "Consumption Mobility in the United States: Evidence from Two Panel Data Sets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 6(1), pages 1-38, September.
    10. Yitzhaki, Shlomo, 1982. "Stochastic Dominance, Mean Variance, and Gini's Mean Difference," American Economic Review, American Economic Association, vol. 72(1), pages 178-185, March.
    11. Schechtman, E. & Yitzhaki, S., 1999. "On the proper bounds of the Gini correlation," Economics Letters, Elsevier, vol. 63(2), pages 133-138, May.
    12. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    13. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
    14. Shalit, Haim & Yitzhaki, Shlomo, 2002. "Estimating Beta," Review of Quantitative Finance and Accounting, Springer, vol. 18(2), pages 95-118, March.
    15. 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.
    16. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    17. 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 617-628, October.
    18. Maria Cancian & Deborah Reed, 1998. "Assessing The Effects Of Wives' Earnings On Family Income Inequality," The Review of Economics and Statistics, MIT Press, vol. 80(1), pages 73-79, February.
    19. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    20. Koichi Mera, 1969. "Experimental Determination of Relative Marginal Utilities," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 83(3), pages 464-477.
    21. Giovanni Maria Giorgi, 2005. "Bibliographic portrait of the Gini concentration ratio," Econometrics 0511004, University Library of Munich, Germany.
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    Cited by:

    1. Vanderford Courtney & Sang Yongli & Dang Xin, 2020. "Two symmetric and computationally efficient Gini correlations," Dependence Modeling, De Gruyter, vol. 8(1), pages 373-395, January.
    2. Stéphane Mussard & Fattouma Souissi-Benrejab, 2019. "Gini-PLS Regressions," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(3), pages 477-512, September.
    3. Téa Ouraga, 2019. "A note on Gini Principal Component Analysis," Economics Bulletin, AccessEcon, vol. 39(2), pages 1076-1083.
    4. Giovanni Maria Giorgi & Paola Palmitesta & Corrado Provasi, 2006. "Asymptotic and bootstrap inference for the generalized Gini indices," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 107-124.
    5. Charpentier, Arthur & Mussard, Stéphane & Ouraga, Téa, 2021. "Principal component analysis: A generalized Gini approach," European Journal of Operational Research, Elsevier, vol. 294(1), pages 236-249.
    6. Jin Zou & Dong Han, 2021. "Yule–Walker Equations Using a Gini Covariance Matrix for the High-Dimensional Heavy-Tailed PVAR Model," Mathematics, MDPI, vol. 9(6), pages 1-15, March.
    7. Gildas Tagny-Ngompé & Stéphane Mussard & Guillaume Zambrano & Sébastien Harispe & Jacky Montmain, 2020. "Identification of Judicial Outcomes in Judgments: A Generalized Gini-PLS Approach," Stats, MDPI, vol. 3(4), pages 1-17, September.
    8. William Horrace & Joseph Marchand & Timothy Smeeding, 2008. "Ranking inequality: Applications of multivariate subset selection," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(1), pages 5-32, March.
    9. Donal O'Neill & Philippe Van Kerm, 2008. "An Integrated Framework For Analysing Income Convergence," Manchester School, University of Manchester, vol. 76(1), pages 1-20, January.
    10. 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.
    11. Xin Dang & Dao Nguyen & Yixin Chen & Junying Zhang, 2021. "A new Gini correlation between quantitative and qualitative variables," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 48(4), pages 1314-1343, December.
    12. Sudheesh K. Kattumannil & N. Sreelakshmi & N. Balakrishnan, 2022. "Non-Parametric Inference for Gini Covariance and its Variants," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 790-807, August.
    13. Xiao-jun Wang & Jian-yun Zhang & Shamsuddin Shahid & Amgad ElMahdi & Rui-min He & Xin-gong Wang & Mahtab Ali, 2012. "Gini coefficient to assess equity in domestic water supply in the Yellow River," Mitigation and Adaptation Strategies for Global Change, Springer, vol. 17(1), pages 65-75, January.
    14. Vanderford Courtney & Sang Yongli & Dang Xin, 2020. "Two symmetric and computationally efficient Gini correlations," Dependence Modeling, De Gruyter, vol. 8(1), pages 373-395, January.
    15. Klein, Ingo & Mangold, Benedikt, 2015. "Cumulative Paired 𝜙-Entropy," FAU Discussion Papers in Economics 07/2015, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.

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