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Characterizations of Lorenz curves and income distributions

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Cited by:

  1. Rolf Aaberge & Magne Mogstad, 2015. "Inequality in current and lifetime income," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 217-230, February.
  2. Giovanni Maria Giorgi & Michele Crescenzi, 2001. "A proposal of poverty measures based on the Bonferroni inequality index," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 3-16.
  3. Aronsson, Thomas & Johansson-Stenman, Olof, 2023. "Optimal Taxation and Other-Regarding Preferences," Umeå Economic Studies 1016, Umeå University, Department of Economics.
  4. Vito Peragine & Flaviana Palmisano & Paolo Brunori, 2014. "Economic Growth and Equality of Opportunity," The World Bank Economic Review, World Bank, vol. 28(2), pages 247-281.
  5. Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
  6. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Modeling Concentration and Dispersion in Multiple Regression," Discussion Papers 412, Statistics Norway, Research Department.
  7. Rolf Aaberge & Ugo Colombino, 2005. "Designing Optimal Taxes With a Microeconometric Model of Household Labour Supply," Public Economics 0510013, University Library of Munich, Germany.
  8. Rolf Aaberge & Ugo Colombino & Steinar Strøm, 2004. "Do more equal slices shrink the cake? An empirical investigation of tax-transfer reform proposals in Italy," Journal of Population Economics, Springer;European Society for Population Economics, vol. 17(4), pages 767-785, December.
  9. Støstad, Morten Nyborg & Cowell, Frank, 2024. "Inequality as an externality: Consequences for tax design," Journal of Public Economics, Elsevier, vol. 235(C).
  10. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
  11. Vincenzo Prete & Alessandro Sommacal & Claudio Zoli, 2016. "Optimal Non-Welfarist Income Taxation for Inequality and Polarization Reduction," Working Papers 23/2016, University of Verona, Department of Economics.
  12. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Decomposition of rank-dependent measures of inequality by subgroups," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 493-503.
  13. Laurent Simula & Alain Trannoy, 2022. "Gini and Optimal Income Taxation by Rank," American Economic Journal: Economic Policy, American Economic Association, vol. 14(3), pages 352-379, August.
  14. Tam'as S. Bir'o & Zolt'an N'eda, 2020. "Gintropy: Gini index based generalization of Entropy," Papers 2007.04829, arXiv.org.
  15. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  16. Flaviana Palmisano, 2011. "Mobility and Long term Equality of Opportunity," SERIES 0035, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Feb 2011.
  17. Yang Wei & Zhouping Li & Yunqiu Dai, 2022. "Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices," Statistical Papers, Springer, vol. 63(5), pages 1415-1475, October.
  18. 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.
  19. Aaberge, Rolf & Mogstad, Magne & Peragine, Vito, 2011. "Measuring long-term inequality of opportunity," Journal of Public Economics, Elsevier, vol. 95(3-4), pages 193-204, April.
  20. Aronsson, Thomas & Johansson-Stenman, Olof, 2023. "Optimal Taxation and Other-Regarding Preferences," Working Papers in Economics 837, University of Gothenburg, Department of Economics.
  21. Zvetan Ignatov & Vilimir Yordanov, 2025. "On Iterated Lorenz Curves With Applications," Yearbook of the Faculty of Economics and Business Administration, Sofia University, Faculty of Economics and Business Administration, Sofia University St Kliment Ohridski - Bulgaria, vol. 24(1), pages 71-118, August.
  22. Rolf Aaberge, 2005. "Asymptotic Distribution Theory of Empirical Rank-dependent Measures of Inequality," Discussion Papers 402, Statistics Norway, Research Department.
  23. Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
  24. Rolf Aaberge & Eugenio Peluso, 2011. "A Counting Approach for Measuring Multidimensional Deprivation," Working Papers 07/2011, University of Verona, Department of Economics.
  25. Walter Piesch, 2003. "Ein Ueberblick ueber einige erweiterte Gini-Indices," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 220/2003, Department of Economics, University of Hohenheim, Germany.
  26. Aaberge, Rolf, 2008. "Erratum to "Axiomatic characterization of the Gini coefficient and Lorenz curve orderings" [J. Econ. Theory 101 (2001) 115-132]," Journal of Economic Theory, Elsevier, vol. 140(1), pages 1-1, May.
  27. 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.
  28. M. Fort & N. Schneeweis & R. Winter-Ebmer, 2011. "More Schooling, More Children: Compulsory Schooling Reforms and Fertility in Europe," Working Papers wp787, Dipartimento Scienze Economiche, Universita' di Bologna.
  29. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
  30. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
  31. Buhong Zheng, 2018. "Almost Lorenz dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(1), pages 51-63, June.
  32. Rolf Aaberge & Ugo Colombino, 2012. "Accounting for family background when designing optimal income taxes: a microeconometric simulation analysis," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(2), pages 741-761, January.
  33. 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.
  34. 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.
  35. Rolf Aaberge, 2007. "Gini’s nuclear family," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 305-322, December.
  36. T. Kämpke & R. Pestel & F.J. Radermacher, 2003. "A Computational Concept for Normative Equity," European Journal of Law and Economics, Springer, vol. 15(2), pages 129-163, March.
  37. Rolf Aaberge & Ugo Colombino, 2011. "Empirical Optimal Income Taxation: A Microeconometric Application to Norway," CHILD Working Papers wp16_11, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
  38. Buhong Zheng, 2021. "Stochastic dominance and decomposable measures of inequality and poverty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 228-247, April.
  39. Giovanni M. Giorgi & Alessio Guandalini, 2018. "Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality," Econometrics, MDPI, vol. 6(2), pages 1-16, April.
  40. Rolf Aaberge & Anthony B. Atkinson & Jørgen Modalsli, 2013. "The ins and outs of top income mobility," Discussion Papers 762, Statistics Norway, Research Department.
  41. Florent Bresson, 2010. "A general class of inequality elasticities of poverty," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(1), pages 71-100, March.
  42. Peter Ericson & Lennart Flood, 2012. "A Microsimulation Approach to an Optimal Swedish Income Tax," International Journal of Microsimulation, International Microsimulation Association, vol. 2(5), pages 2-21.
  43. 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.
  44. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  45. Walter Piesch, 2005. "A look at the structure of some extended Ginis," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 263-296.
  46. Aaberge, Rolf & Havnes, Tarjei & Mogstad, Magne, 2013. "A Theory for Ranking Distribution Functions," IZA Discussion Papers 7738, Institute of Labor Economics (IZA).
  47. Rolf Aaberge, 2003. "Mean-Spread-Preserving Transformations," Discussion Papers 360, Statistics Norway, Research Department.
  48. Laurent Simula & Alain Trannoy, 2023. "Bunching in rank-dependent optimal income tax schedules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 237-263, January.
  49. Banerjee, Suchismita & Chakrabarti, Bikas K. & Mitra, Manipushpak & Mutuswami, Suresh, 2020. "On the Kolkata index as a measure of income inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
  50. Aaberge, Rolf & Bhuller, Manudeep & Langørgen, Audun & Mogstad, Magne, 2010. "The distributional impact of public services when needs differ," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 549-562, October.
  51. 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.
  52. Walter Piesch, 2005. "Bonferroni-Index und De Vergottini-Index. Zum 75. und 65. Geburtstag zweier fast vergessener Ungleichheitsmaße," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 259/2005, Department of Economics, University of Hohenheim, Germany.
  53. Magne Mogstad, 2007. "Measuring Income Inequality under Restricted Interpersonal Comparability," Discussion Papers 498, Statistics Norway, Research Department.
  54. Charles Beach & Russell Davidson, 2025. "Empirically Implementing a Social Welfare Inference Framework," Working Paper 1530, Economics Department, Queen's University.
  55. Rolf Aaberge & Magne Mogstad, 2014. "Income mobility as an equalizer of permanent income," Discussion Papers 769, Statistics Norway, Research Department.
  56. Luisa Tibiletti & S. Subramanian, 2015. "Inequality Aversion and the Extended Gini in the Light of a Two-person Cake-sharing Problem," Journal of Human Development and Capabilities, Taylor & Francis Journals, vol. 16(2), pages 237-244, May.
  57. Rolf Aaberge & Ugo Colombino & John E. Roemer, 2003. "Optimal Taxation According to Equality of Opportunity: a Microeconometric Simulation Analysis," ICER Working Papers 05-2003, ICER - International Centre for Economic Research.
  58. Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2000. "Classical Horizontal Inequity and Reranking: an Integrated Approach," Cahiers de recherche 0002, Université Laval - Département d'économique.
  59. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
  60. Sami Bibi & AbdelRahmen El-Lahga, 2010. "A Unified Framework to Measuring Inequality in The Arab Countries," Working Papers 567, Economic Research Forum, revised 11 Jan 2010.
  61. 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.
  62. G. M. Giorgi & M. Crescenzi, 2001. "Bayesian estimation of the Bonferroni index from a Pareto-type I population," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 10(1), pages 41-48, January.
  63. Aaberge, Rolf & Peluso, Eugenio & Sigstad, Henrik, 2019. "The dual approach for measuring multidimensional deprivation: Theory and empirical evidence," Journal of Public Economics, Elsevier, vol. 177(C), pages 1-1.
  64. Rolf Aaberge & Ugo Colombino & John E. Roemer, 2001. "Equality of Opportunity versus Equality of Outcome in Analysing Optimal Income Taxation Empirical Evidence based on Italian Data," Discussion Papers 307, Statistics Norway, Research Department.
  65. 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.
  66. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
  67. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2006. "Modeling inequality and spread in multiple regression," Papers math/0610852, arXiv.org.
  68. Antonia Castaño-Martínez & Gema Pigueiras & Georgios Psarrakos & Miguel A. Sordo, 2020. "Increasing concave orderings of linear combinations of order statistics with applications to social welfare," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(6), pages 699-712, August.
  69. Suchismita Banerjee & Bikas K. Chakrabarti & Manipushpak Mitra & Suresh Mutuswami, 2020. "Inequality Measures: The Kolkata index in comparison with other measures," Papers 2005.08762, arXiv.org, revised Oct 2020.
  70. Burak Can & Péter Csóka & Emre Ergin, 2021. "How to choose a fair delegation?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1339-1373, November.
  71. Haim Shalit & Shlomo Yitzhaki, 2010. "How does beta explain stochastic dominance efficiency?," Review of Quantitative Finance and Accounting, Springer, vol. 35(4), pages 431-444, November.
  72. Walter Piesch, 2004. "Einige Anwendungen von erweiterten Gini-Indices P und M," Diskussionspapiere aus dem Institut für Volkswirtschaftslehre der Universität Hohenheim 243/2004, Department of Economics, University of Hohenheim, Germany.
  73. Duclos, Jean-Yves & Jalbert, Vincent & Araar, Abdelkrim, 2003. "Classical Horizontal Inequity and Reranking: an Integrating Approach," Cahiers de recherche 0306, CIRPEE.
  74. Mauro Mussini, 2014. "Decomposing inequality change from the perspective of reranking and income growth between income groups," Empirical Economics, Springer, vol. 47(2), pages 619-637, September.
  75. Giorgio Di Maio, 2022. "The barycenter of the distribution and its application to the measurement of inequality: The Balance of Inequality, the Gini index, and the Lorenz curve," Working Papers 493, University of Milano-Bicocca, Department of Economics, revised Mar 2022.
  76. Aaberge, Rolf & Flood, Lennart, 2008. "Evaluation of an In-Work Tax Credit Reform in Sweden: Effects on Labor Supply and Welfare Participation of Single Mothers," IZA Discussion Papers 3736, Institute of Labor Economics (IZA).
  77. 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.
  78. 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.
  79. Elena Bárcena-Martin & Jacques Silber, 2017. "The Bonferroni index and the measurement of distributional change," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 1-16, April.
  80. Peter Lambert & Giuseppe Lanza, 2006. "The effect on inequality of changing one or two incomes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 4(3), pages 253-277, December.
  81. 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.
  82. 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.
  83. Charles Beach, 2023. "Quantile Tool Box Measures for Empirical Analysis and for Testing Distributional Comparisons in Direct Distribution-Free Fashion," Working Paper 1508, Economics Department, Queen's University.
  84. Rolf Aaberge & A B Atkinson, 2013. "The median as watershed," Discussion Papers 749, Statistics Norway, Research Department.
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