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A note on stochastic dominance and inequality measures

Citations

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Cited by:

  1. Duclos, Jean-Yves, 1998. "Social evaluation functions, economic isolation and the Suits index of progressivity," Journal of Public Economics, Elsevier, vol. 69(1), pages 103-121, July.
  2. Duclos, J.Y., 1995. "Economic Isolation, Inequality, and the Suits Index of Progressivity," Papers 9510, Laval - Recherche en Politique Economique.
  3. Francesco Andreoli & Arnaud Lefranc, 2013. "Equalization of opportunity: Definitions and implementable conditions," Working Papers 310, ECINEQ, Society for the Study of Economic Inequality.
  4. Castaño-Martínez, A. & Pigueiras, G. & Ramos, C.D. & Sordo, M.A., 2025. "Ordering higher risks in Yaari's dual theory," Insurance: Mathematics and Economics, Elsevier, vol. 125(C).
  5. Roberto Ezcurra, 2007. "The single market and geographic concentration in the regions of the European Union," Applied Economics Letters, Taylor & Francis Journals, vol. 14(6), pages 463-466.
  6. Francesco Andreoli & Eugenio Peluso, 2016. "So close yet so unequal: Reconsidering spatial inequality in U.S. cities," Working Papers 21/2016, University of Verona, Department of Economics.
  7. Lando, Tommaso & Bertoli-Barsotti, Lucio, 2017. "Measuring the citation impact of journals with generalized Lorenz curves," Journal of Informetrics, Elsevier, vol. 11(3), pages 689-703.
  8. Sergio Ortobelli & Svetlozar Rachev & Haim Shalit & Frank Fabozzi, 2009. "Orderings and Probability Functionals Consistent with Preferences," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(1), pages 81-102.
  9. Doron Nisani, 2019. "Ranking Investments Using the Lorenz Curve," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(1), pages 1-9, March.
  10. Santiago Alvarez-Garcia & Juan Prieto-Rodriguez & Rafael Salas, 2004. "The evolution of income inequality in the European Union during the period 1993-1996," Applied Economics, Taylor & Francis Journals, vol. 36(13), pages 1399-1408.
  11. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  12. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
  13. ANDREOLI Francesco & PELUSO Eugenio, 2017. "So close yet so unequal: Spatial inequality in American cities," LISER Working Paper Series 2017-11, Luxembourg Institute of Socio-Economic Research (LISER).
  14. Andreoli, Francesco & Havnes, Tarjei & Lefranc, Arnaud, 2014. "Equalization of Opportunity: Definitions, Implementable Conditions and Application to Early-Childhood Policy Evaluation," IZA Discussion Papers 8503, IZA Network @ LISER.
  15. Porro Francesco, 2014. "How We Can Evaluate the Inequality in Flint," Stochastics and Quality Control, De Gruyter, vol. 29(2), pages 119-128, December.
  16. Louis R. Eeckhoudt & Roger J. A. Laeven, 2021. "Probability Premium and Attitude Towards Probability," Papers 2105.00054, arXiv.org.
  17. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
  18. Chan, Terence, 2024. "Coherence of inequality measures with respect to partial orderings of income distributions," Mathematical Social Sciences, Elsevier, vol. 128(C), pages 90-99.
  19. Rachel J. Huang & Larry Y. Tzeng & Lin Zhao, 2020. "Fractional Degree Stochastic Dominance," Management Science, INFORMS, vol. 66(10), pages 4630-4647, October.
  20. Eeckhoudt, Louis R. & Laeven, Roger J.A. & Schlesinger, Harris, 2020. "Risk apportionment: The dual story," Journal of Economic Theory, Elsevier, vol. 185(C).
  21. Miguel Sordo & Jorge Navarro & José Sarabia, 2014. "Distorted Lorenz curves: models and comparisons," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 761-780, April.
  22. Wang, Shaun S. & Young, Virginia R., 1998. "Ordering risks: Expected utility theory versus Yaari's dual theory of risk," Insurance: Mathematics and Economics, Elsevier, vol. 22(2), pages 145-161, June.
  23. John Creedy, 2023. "Distributional Comparisons Using the Gini Inequality Measure," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 56(4), pages 538-550, December.
  24. Chiara Gigliarano & Ugofilippo Basellini & Marco Bonetti, 2014. "Concentration in survival times and longevity: The log-scale-location family of failure time models," Working Papers 066, "Carlo F. Dondena" Centre for Research on Social Dynamics (DONDENA), Università Commerciale Luigi Bocconi.
  25. Iosif Pinelis, 2013. "An optimal three-way stable and monotonic spectrum of bounds on quantiles: a spectrum of coherent measures of financial risk and economic inequality," Papers 1310.6025, arXiv.org.
  26. Rolf Aaberge & Magne Mogstad, 2011. "Robust inequality comparisons," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(3), pages 353-371, September.
  27. Louis de Mesnard, 1997. "About the problems caused by the Gini and Kakwani index of inequality measurement [A propos des problèmes causés par les indices de mesure d'inégalité de Gini et de Kakwani]," Working Papers hal-01527267, HAL.
  28. Luis José Imedio Olmedo & Elena Bárcena Martín, 2007. "Dos familias numerables de medidas de desigualdad," Investigaciones Economicas, Fundación SEPI, vol. 31(1), pages 191-217, January.
  29. Philip Marx, 2020. "Sharp Bounds in the Latent Index Selection Model," Papers 2012.02390, arXiv.org, revised Apr 2023.
  30. Hongyi Jiang & Zhenting Sun & Shiyun Hu, 2023. "A Nonparametric Test of $m$th-degree Inverse Stochastic Dominance," Papers 2306.12271, arXiv.org, revised Jul 2023.
  31. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(2), pages 141-162, March.
  32. Creedy, John, 2021. "Distributional Comparisons Using the Gini Inequality Measure," Working Paper Series 9471, Victoria University of Wellington, Chair in Public Finance.
  33. Tommaso Lando & Lucio Bertoli-Barsotti, 2019. "Distorted stochastic dominance: a generalized family of stochastic orders," Papers 1909.04767, arXiv.org.
  34. Jean–Yves Duclos & Phillipe Grégoire, 2002. "Absolute and Relative Deprivation and the Measurement of Poverty," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 48(4), pages 471-492, December.
  35. Lando, Tommaso & Bertoli-Barsotti, Lucio, 2020. "Distorted stochastic dominance: A generalized family of stochastic orders," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 132-139.
  36. Ida Petrillo, 2017. "Ranking income distributions: a rank-dependent and needs-based approach," SERIES 03-2017, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jul 2017.
  37. Nguimkeu, Pierre, 2024. "Credit constraints and delayed entrepreneurship," Journal of Economic Behavior & Organization, Elsevier, vol. 224(C), pages 156-180.
  38. Tommaso Lando & Lucio Bertoli-Barsotti, 2016. "Weak orderings for intersecting Lorenz curves," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 177-192, August.
  39. Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
  40. Bibi, Sami & Duclos, Jean-Yves, 2007. "Equity and policy effectiveness with imperfect targeting," Journal of Development Economics, Elsevier, vol. 83(1), pages 109-140, May.
  41. Chan, Terence, 2022. "On a new class of continuous indices of inequality," Mathematical Social Sciences, Elsevier, vol. 120(C), pages 8-23.
  42. Michel Le Breton & Eugenio Peluso, 2009. "Third-degree stochastic dominance and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(3), pages 249-268, September.
  43. Zou, Zhenfeng & Hu, Taizhong, 2024. "Adjusted higher-order expected shortfall," Insurance: Mathematics and Economics, Elsevier, vol. 115(C), pages 1-12.
  44. Haim Shalit, 2014. "Measuring Risk In Israeli Mutual Funds: Conditional Value-At-Risk Vs. Aumann-Serrano Riskiness Index," Working Papers 1409, Ben-Gurion University of the Negev, Department of Economics.
  45. Giovagnoli, Alessandra & Wynn, Henry P., 2012. "(U,V) ordering and a duality theorem for risk aversion and Lorenz type orderings," LSE Research Online Documents on Economics 55856, London School of Economics and Political Science, LSE Library.
  46. Imedio Olmedo, L. J. & Bárcena Martín, E., 2003. "Privación, status e imposición sobre la renta," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 21, pages 123-147, Abril.
  47. Gajdos, Thibault, 2004. "Single crossing Lorenz curves and inequality comparisons," Mathematical Social Sciences, Elsevier, vol. 47(1), pages 21-36, January.
  48. Francesco Andreoli & Tarjei Havnes & Arnaud Lefranc, 2019. "Robust Inequality of Opportunity Comparisons: Theory and Application to Early Childhood Policy Evaluation," The Review of Economics and Statistics, MIT Press, vol. 101(2), pages 355-369, May.
  49. Sarabia, José María & Prieto, Faustino & Trueba, Carmen & Jordá, Vanesa, 2013. "About the modified Gaussian family of income distributions with applications to individual incomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1398-1408.
  50. Duclos, J.Y. & Jalbert, V. & Araar, A., 2000. "Classical Horizontal Inequity and Reranking: an Integrated Approach," Papers 0002, Laval - Recherche en Politique Economique.
  51. Fontanari Andrea & Cirillo Pasquale & Oosterlee Cornelis W., 2020. "Lorenz-generated bivariate Archimedean copulas," Dependence Modeling, De Gruyter, vol. 8(1), pages 186-209, January.
  52. Laurie Bréban & André Lapidus, 2019. "Adam Smith on lotteries: an interpretation and formal restatement," Working Papers hal-00914222, HAL.
  53. van Bruggen, Paul & Laeven, Roger J. A. & van de Kuilen, Gijs, 2024. "Higher-Order Risk Attitudes for Non-Expected Utility," Discussion Paper 2024-019, Tilburg University, Center for Economic Research.
  54. Rolf Aaberge & Tarjei Havnes & Magne Mogstad, 2021. "Ranking intersecting distribution functions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 36(6), pages 639-662, September.
  55. Maria Cubel & Peter Lambert, "undated". "Horizontal Inequity can be a Good Thing," Discussion Papers 99/17, Department of Economics, University of York.
  56. Miguel Sordo & Héctor Ramos, 2007. "Characterization of stochastic orders by L-functionals," Statistical Papers, Springer, vol. 48(2), pages 249-263, April.
  57. Francesco Andreoli, 2013. "Inference for Inverse Stochastic Dominance," Working Papers 295, ECINEQ, Society for the Study of Economic Inequality.
  58. Louis R. Eeckhoudt & Roger J. A. Laeven, 2022. "Dual Moments and Risk Attitudes," Operations Research, INFORMS, vol. 70(3), pages 1330-1341, May.
  59. Masato Okamoto, 2025. "Inequality imbalance and its orderings based on relative and positional transfer sensitivity principles," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 65(2), pages 387-426, September.
  60. Kleiber, Christian, 2001. "Corrigendum to "The Existence of Population Inequality Measures": [Economics Letters 57 (1997) 39-44]," Economics Letters, Elsevier, vol. 71(3), pages 429-429, June.
  61. 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.
  62. Doron Nisani & Amit Shelef, 2021. "A statistical analysis of investor preferences for portfolio selection," Empirical Economics, Springer, vol. 61(4), pages 1883-1915, October.
  63. Stanislaw Heilpern, 2002. "Using Choquet integral in economics," Statistical Papers, Springer, vol. 43(1), pages 53-73, January.
  64. Rolf Aaberge & Tarjei Havnes & Magne Mogstad, 2013. "A theory for ranking distribution functions," Discussion Papers 763, Statistics Norway, Research Department.
  65. Francesco Andreoli & Eugenio Peluso, 2021. "Inference for the neighbourhood inequality index," Spatial Economic Analysis, Taylor & Francis Journals, vol. 16(3), pages 313-332, July.
  66. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2006. "Modeling inequality and spread in multiple regression," Papers math/0610852, arXiv.org.
  67. Iosif Pinelis, 2014. "An Optimal Three-Way Stable and Monotonic Spectrum of Bounds on Quantiles: A Spectrum of Coherent Measures of Financial Risk and Economic Inequality," Risks, MDPI, vol. 2(3), pages 1-44, September.
  68. Chan, Raymond H. & Chow, Sheung-Chi & Guo, Xu & Wong, Wing-Keung, 2022. "Central moments, stochastic dominance, moment rule, and diversification with an application," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
  69. Marx, Philip, 2024. "Sharp bounds in the latent index selection model," Journal of Econometrics, Elsevier, vol. 238(2).
  70. Le Breton, Michel & Peluso, Eugenio, 2006. "Third-Degree Stochastic Dominance and the von-Neumann-Morgenstern Independence Property," IDEI Working Papers 421, Institut d'Économie Industrielle (IDEI), Toulouse.
  71. Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2003. "Classical Horizontal Inequity and Reranking: an Integrating Approach," Cahiers de recherche 0306, CIRPEE.
  72. Nicoleta Anca Matei & Claudio Zoli, 2012. "Restricted Finite Time Dominance," Working Papers 30/2012, University of Verona, Department of Economics.
  73. Flaviana Palmisano, 2024. "Compassion and envy in distributional comparisons," Theory and Decision, Springer, vol. 96(1), pages 153-184, February.
  74. W. Henry Chiu, 2021. "Intersecting Lorenz curves and aversion to inverse downside inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 487-508, April.
  75. Gigliarano, Chiara & Figini, Silvia & Muliere, Pietro, 2014. "Making classifier performance comparisons when ROC curves intersect," Computational Statistics & Data Analysis, Elsevier, vol. 77(C), pages 300-312.
  76. Nair, N. Unnikrishnan & Sunoj, S.M. & Subhash, Silpa, 2025. "Superquantile function of order n and their applications in reliability and entropy," Statistics & Probability Letters, Elsevier, vol. 225(C).
  77. Fontanari Andrea & Cirillo Pasquale & Oosterlee Cornelis W., 2020. "Lorenz-generated bivariate Archimedean copulas," Dependence Modeling, De Gruyter, vol. 8(1), pages 186-209, January.
  78. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
  79. Jiang, Hongyi & Sun, Zhenting & Hu, Shiyun, 2024. "A nonparametric test of mth-degree inverse stochastic dominance," Economics Letters, Elsevier, vol. 244(C).
  80. John Creedy & S. Subramanian, 2023. "Exploring A New Class of Inequality Measures and Associated Value Judgements: Gini and Fibonacci-Type Sequences," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 110-131, May.
  81. Peragine, Vitorocco, 2002. "Opportunity egalitarianism and income inequality," Mathematical Social Sciences, Elsevier, vol. 44(1), pages 45-64, September.
  82. Tommaso Lando & Idir Arab & Paulo Eduardo Oliveira, 2023. "Transform orders and stochastic monotonicity of statistical functionals," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 50(3), pages 1183-1200, September.
  83. Greselin, Francesca & Zitikis, Ricardas, 2015. "Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references," MPRA Paper 65892, University Library of Munich, Germany.
  84. Adam Krzemienowski, 2009. "Risk preference modeling with conditional average: an application to portfolio optimization," Annals of Operations Research, Springer, vol. 165(1), pages 67-95, January.
  85. Chiara Gigliarano & Ugofilippo Basellini & Marco Bonetti, 2017. "Longevity and concentration in survival times: the log-scale-location family of failure time models," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(2), pages 254-274, April.
  86. Amparo Ba'illo & Javier C'arcamo & Carlos Mora-Corral, 2024. "Tests for almost stochastic dominance," Papers 2403.15258, arXiv.org.
  87. Francesca Greselin & Ričardas Zitikis, 2018. "From the Classical Gini Index of Income Inequality to a New Zenga-Type Relative Measure of Risk: A Modeller’s Perspective," Econometrics, MDPI, vol. 6(1), pages 1-20, January.
  88. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
  89. Man-Chung Ng, 2000. "A Remark on Third Degree Stochastic Dominance," Management Science, INFORMS, vol. 46(6), pages 870-873, June.
  90. Eugenio Peluso & Alain Trannoy, 2012. "Preserving dominance relations through disaggregation: the evil and the saint," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(2), pages 633-647, July.
  91. Francesco Andreoli, 2018. "Robust Inference for Inverse Stochastic Dominance," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(1), pages 146-159, January.
  92. Darinka Dentcheva & Andrzej Ruszczynski, 2005. "Inverse stochastic dominance constraints and rank dependent expected utility theory," GE, Growth, Math methods 0503001, University Library of Munich, Germany.
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