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The properties of the extended Gini measures of variability and inequality

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  • Shlomo Yitzhaki
  • Edna Schechtman

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  • 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.
  • Handle: RePEc:mtn:ancoec:si7
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    File URL: https://www.dss.uniroma1.it/RePec/mtn/articoli/2005-3-7.pdf
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    23. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
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    25. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    26. Frick, Joachim R. & Goebel, Jan & Schechtman, Edna & Wagner, Gert G. & Yitzhaki, Shlomo, 2004. "Using Analysis of Gini (ANoGi) for Detecting Whether Two Sub-Samples Represent the Same Universe: The SOEP Experience," IZA Discussion Papers 1049, Institute of Labor Economics (IZA).
    27. Giovanni Maria Giorgi, 2005. "Bibliographic portrait of the Gini concentration ratio," Econometrics 0511004, University Library of Munich, Germany.
    28. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    29. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
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    Cited by:

    1. Moshe Shaked & Miguel A. Sordo & Alfonso Suárez-Llorens, 2012. "Global Dependence Stochastic Orders," Methodology and Computing in Applied Probability, Springer, vol. 14(3), pages 617-648, September.
    2. Hasan Vergil & Fuat Sekmen & Haşmet Gökirmak & Sukru Apaydin, 2022. "2008 financial crisis and income distribution in Turkey," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(4), pages 2627-2643, August.
    3. Berkhouch, Mohammed & Lakhnati, Ghizlane, 2017. "Extended Gini-type measures of risk and variability," MPRA Paper 80329, University Library of Munich, Germany.
    4. Khosravi Tanak, A. & Mohtashami Borzadaran, G.R. & Ahmadi, J., 2017. "Maximum Tsallis entropy with generalized Gini and Gini mean difference indices constraints," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 554-560.
    5. Mohammed Berkhouch & Ghizlane Lakhnati & Marcelo Brutti Righi, 2018. "Extended Gini-Type Measures of Risk and Variability," Applied Mathematical Finance, Taylor & Francis Journals, vol. 25(3), pages 295-314, May.
    6. Fabio Clementi & Mauro Gallegati & Lisa Gianmoena & Simone Landini & Joseph E. Stiglitz, 2019. "Mis-measurement of inequality: a critical reflection and new insights," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 14(4), pages 891-921, December.
    7. Wędrowska Ewa & Muszyńska Joanna, 2021. "The Impact of Family and Child-Allowances on Income Inequality in Poland. Gini Decomposition by Income Sources," Folia Oeconomica Stetinensia, Sciendo, vol. 21(1), pages 144-160, June.
    8. Fangzheng Li & Fen Zhang & Xiong Li & Peng Wang & Junhui Liang & Yuting Mei & Wenwen Cheng & Yun Qian, 2017. "Spatiotemporal Patterns of the Use of Urban Green Spaces and External Factors Contributing to Their Use in Central Beijing," IJERPH, MDPI, vol. 14(3), pages 1-17, February.
    9. Thomas L. Hungerford, 2020. "The Course of Income Inequality as a Cohort Ages into Old-Age," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 71-90, March.
    10. José Manuel Gavilan-Ruiz & África Ruiz-Gándara & Francisco Javier Ortega-Irizo & Luis Gonzalez-Abril, 2024. "Some Notes on the Gini Index and New Inequality Measures: The nth Gini Index," Stats, MDPI, vol. 7(4), pages 1-12, November.
    11. Mohammed Berkhouch & Fernanda Maria Müller & Ghizlane Lakhnati & Marcelo Brutti Righi, 2022. "Deviation-Based Model Risk Measures," Computational Economics, Springer;Society for Computational Economics, vol. 59(2), pages 527-547, February.
    12. Marta Cardin & Bennett Eisenberg & Luisa Tibiletti, 2012. "Bid and Ask Prices Tailored to Traders' Risk Aversion and Gain Propension: a Normative Approach," International Journal of Business Research and Management (IJBRM), Computer Science Journals (CSC Journals), vol. 3(6), pages 294-306, December.
    13. Hu, Taizhong & Chen, Ouxiang, 2020. "On a family of coherent measures of variability," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 173-182.
    14. Klein, Ingo & Mangold, Benedikt, 2015. "Cumulative Paired 𝜙-Entropy," FAU Discussion Papers in Economics 07/2015, Friedrich-Alexander University Erlangen-Nuremberg, Institute for Economics.
    15. Tohid Atashbar, 2011. "Privatisation as Proxy of Distribution: Is it possible? (The Justice Shares Mass Privatisation Case of Iran)," Poverty & Public Policy, John Wiley & Sons, vol. 3(4), pages 1-18, December.

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