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A General Definition of the Lorenz Curve

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  1. Ryu, Hang K. & Slottje, Daniel J., 1996. "Two flexible functional form approaches for approximating the Lorenz curve," Journal of Econometrics, Elsevier, vol. 72(1-2), pages 251-274.
  2. Masahiro Kato & Akari Ohda & Masaaki Imaizumi, 2023. "Asymptotically Unbiased Synthetic Control Methods by Distribution Matching," Papers 2307.11127, arXiv.org, revised May 2024.
  3. Lina Cortés & Juan M. Lozada & Javier Perote, 2019. "Firm size and concentration inequality: A flexible extension of Gibrat’s law," Documentos de Trabajo de Valor Público 17205, Universidad EAFIT.
  4. Chiou, Jong-Rong, 1996. "A dominance evaluation of Taiwan's official income distribution statistics, 1976-1992," China Economic Review, Elsevier, vol. 7(1), pages 57-75.
  5. Sarabia Alegría, J.M & Pascual Sáez, Marta, 2001. "Rankings de distribuciones de renta basados en curvas de Lorenz ordenadas: un estudio empírico1," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 19, pages 151-169, Diciembre.
  6. Calderín-Ojeda, Enrique & Azpitarte, Francisco & Gómez-Déniz, Emilio, 2016. "Modelling income data using two extensions of the exponential distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 756-766.
  7. Brice Magdalou & Patrick Moyes, 2009. "Deprivation, welfare and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 253-273, February.
  8. Edwin Fourrier-Nicolai & Michel Lubrano, 2019. "The Effect of Aspirations on Inequality: Evidence from the German Reunification using Bayesian Growth Incidence Curves," AMSE Working Papers 1914, Aix-Marseille School of Economics, France.
  9. Gengsheng Qin & Baoying Yang & Nelly Belinga-Hall, 2013. "Empirical likelihood-based inferences for the Lorenz curve," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 65(1), pages 1-21, February.
  10. Rolf Aaberge & Steinar Bjerve & Kjell Doksum, 2005. "Modeling Concentration and Dispersion in Multiple Regression," Discussion Papers 412, Statistics Norway, Research Department.
  11. Edwin Fourrier-Nicolaï & Michel Lubrano, 2021. "Bayesian Inference for Parametric Growth Incidence Curves," Research on Economic Inequality, in: Research on Economic Inequality: Poverty, Inequality and Shocks, volume 29, pages 31-55, Emerald Group Publishing Limited.
  12. Gholamreza Hajargasht & William E. Griffiths, 2016. "Inference for Lorenz Curves," Department of Economics - Working Papers Series 2022, The University of Melbourne.
  13. Daniel Sotelsek-Salem & Ismael Ahamdanech-Zarco & John Bishop, 2012. "Dominance testing for ‘pro-poor’ growth with an application to European growth," Empirical Economics, Springer, vol. 43(2), pages 723-739, October.
  14. Sarabia, José María & Castillo, Enrique & Pascual, Marta & Sarabia, María, 2005. "Mixture Lorenz curves," Economics Letters, Elsevier, vol. 89(1), pages 89-94, October.
  15. Mathias Silva, 2023. "Parametric estimation of income distributions using grouped data: an Approximate Bayesian Computation approach [Working Papers / Documents de travail]," Working Papers hal-04066544, HAL.
  16. Jing Wan & Shenghao Zhu, 2019. "Bequests, estate taxes, and wealth distributions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 179-210, February.
  17. José María Sarabia & Vanesa Jorda, 2020. "Lorenz Surfaces Based on the Sarmanov–Lee Distribution with Applications to Multidimensional Inequality in Well-Being," Mathematics, MDPI, vol. 8(11), pages 1-17, November.
  18. Xu, Rui-Jie & He, Zhe & Xie, Jia-Rong & Wang, Bing-Hong, 2016. "Structure properties of a doubly-stochastic process on a network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 231-239.
  19. Barry Arnold, 2015. "On Zenga and Bonferroni curves," METRON, Springer;Sapienza Università di Roma, vol. 73(1), pages 25-30, April.
  20. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2021. "Inequality measurement with grouped data: Parametric and non‐parametric methods," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 964-984, July.
  21. Kleiber, Christian, 2005. "The Lorenz curve in economics and econometrics," Technical Reports 2005,30, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  22. Turrini, Alessandro, 1998. "Endogenous education policy and increasing income inequality between skilled and unskilled workers," European Journal of Political Economy, Elsevier, vol. 14(2), pages 303-326, May.
  23. Serfling, Robert, 2002. "Generalized Quantile Processes Based on Multivariate Depth Functions, with Applications in Nonparametric Multivariate Analysis," Journal of Multivariate Analysis, Elsevier, vol. 83(1), pages 232-247, October.
  24. Andreoli, Francesco & Havnes, Tarjei & Lefranc, Arnaud, 2014. "Equalization of Opportunity: Definitions, Implementable Conditions and Application to Early-Childhood Policy Evaluation," IZA Discussion Papers 8503, Institute of Labor Economics (IZA).
  25. Haim Shalit, 2024. "The Nonsense of Bitcoin 1n Portfolio Analysis," Working Papers 2401, Ben-Gurion University of the Negev, Department of Economics.
  26. Ravallion, Martin & Chen, Shaohua, 2003. "Measuring pro-poor growth," Economics Letters, Elsevier, vol. 78(1), pages 93-99, January.
  27. Vanesa Jorda & Jos Mar a Sarabia & Markus J ntti, 2020. "Estimation of Income Inequality from Grouped Data," LIS Working papers 804, LIS Cross-National Data Center in Luxembourg.
  28. 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.
  29. Lucio Bertoli-Barsotti & Marek Gagolewski & Grzegorz Siudem & Barbara .Zoga{l}a-Siudem, 2023. "Gini-stable Lorenz curves and their relation to the generalised Pareto distribution," Papers 2304.07480, arXiv.org, revised Jan 2024.
  30. 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.
  31. Marat Ibragimov & Rustam Ibragimov & Paul Kattuman & Jun Ma, 2018. "Income inequality and price elasticity of market demand: the case of crossing Lorenz curves," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 729-750, May.
  32. Magali Jaoul-Grammare & Brice Magdalou, 2013. "Opportunities in Higher Education: An Application to France," Annals of Economics and Statistics, GENES, issue 111-112, pages 295-325.
  33. Patrick Moyes & Brice Magdalou, 2008. "Social Welfare, Inequality and Deprivation," LIS Working papers 502, LIS Cross-National Data Center in Luxembourg.
  34. Warut Khern-am-nuai & Karthik Kannan & Hossein Ghasemkhani, 2018. "Extrinsic versus Intrinsic Rewards for Contributing Reviews in an Online Platform," Information Systems Research, INFORMS, vol. 29(4), pages 871-892, December.
  35. Stephen Bazen & Patrick Moyes, 2012. "Elitism and stochastic dominance," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(1), pages 207-251, June.
  36. Sarabia, José María, 2008. "A general definition of the Leimkuhler curve," Journal of Informetrics, Elsevier, vol. 2(2), pages 156-163.
  37. Fabio Clementi & Mauro Gallegati & Giorgio Kaniadakis, 2010. "A model of personal income distribution with application to Italian data," Empirical Economics, Springer, vol. 39(2), pages 559-591, October.
  38. 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.
  39. Liang Frank Shao & Melanie Krause, 2020. "Rising mean incomes for whom?," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-20, December.
  40. Ravallion, Martin, 2005. "Inequality is bad for the poor," Policy Research Working Paper Series 3677, The World Bank.
  41. Masters-Waage, Theodore C. & Nai, Jared & Reb, Jochen & Sim, Samantha & Narayanan, Jayanth & Tan, Noriko, 2021. "Going far together by being here now: Mindfulness increases cooperation in negotiations," Organizational Behavior and Human Decision Processes, Elsevier, vol. 167(C), pages 189-205.
  42. Carmen Puerta & Ana Urrutia, 2012. "Lower and upper tail concern and the rank dependent social evaluation functions," Economics Bulletin, AccessEcon, vol. 32(4), pages 3250-3259.
  43. Yanhong Zou & Jingya Shen & Yuying Chen & Baoyi Zhang, 2023. "Monitoring Urban Expansion (2000–2020) in Yangtze River Delta Using Time-Series Nighttime Light Data and MODIS NDVI," Sustainability, MDPI, vol. 15(12), pages 1-22, June.
  44. Gattone, Stefano Antonio & Fortuna, Francesca & Evangelista, Adelia & Di Battista, Tonio, 2022. "Simultaneous confidence bands for the functional mean of convex curves," Econometrics and Statistics, Elsevier, vol. 24(C), pages 183-193.
  45. Iddo Eliazar & Giovanni M. Giorgi, 2020. "From Gini to Bonferroni to Tsallis: an inequality-indices trek," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 119-153, August.
  46. Anders Bredahl Kock & David Preinerstorfer & Bezirgen Veliyev, 2022. "Functional Sequential Treatment Allocation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 117(539), pages 1311-1323, September.
  47. Sarabia, José María & Jordá, Vanesa, 2014. "Explicit expressions of the Pietra index for the generalized function for the size distribution of income," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 582-595.
  48. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 9(1), pages 119-161, December.
  49. Pavkova, Katerina & Currie, Graham & Delbosc, Alexa & Sarvi, Majid, 2016. "Selecting tram links for priority treatments - The Lorenz Curve approach," Journal of Transport Geography, Elsevier, vol. 55(C), pages 101-109.
  50. Chen, Yibo & Wu, Jianzhong, 2018. "Distribution patterns of energy consumed in classified public buildings through the data mining process," Applied Energy, Elsevier, vol. 226(C), pages 240-251.
  51. Suthakaran Ratnasingam & Spencer Wallace & Imran Amani & Jade Romero, 2024. "Nonparametric confidence intervals for generalized Lorenz curve using modified empirical likelihood," Computational Statistics, Springer, vol. 39(6), pages 3073-3090, September.
  52. Louis Mesnard, 2022. "About some difficulties with the functional forms of Lorenz curves," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(4), pages 939-950, December.
  53. Lina M Cortés & Juan M Lozada & Javier Perote, 2021. "Firm size and economic concentration: An analysis from a lognormal expansion," PLOS ONE, Public Library of Science, vol. 16(7), pages 1-21, July.
  54. Yawo A. Noglo & Komivi Afawubo, 2017. "2011-2015: an illustration based on the decomposition of the Gini coefficient using the Shapley value approach," Economics Bulletin, AccessEcon, vol. 37(4), pages 2602-2615.
  55. Stefanescu, Stefan V., 2011. "About the Accuracy of Gini Index for Measuring the Poverty," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 255-266, September.
  56. Flaviana Palmisano & Ida Petrillo, 2022. "A general rank‐dependent approach for distributional comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 380-409, April.
  57. Melanie Krause, 2014. "Parametric Lorenz Curves and the Modality of the Income Density Function," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(4), pages 905-929, December.
  58. 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.
  59. Juan Carlos Chavez - Martin del Campo, 2008. "Poverty Goals," EconoQuantum, Revista de Economia y Finanzas, Universidad de Guadalajara, Centro Universitario de Ciencias Economico Administrativas, Departamento de Metodos Cuantitativos y Maestria en Economia., vol. 4(2), pages 27-34, Enero-Jun.
  60. Yu Zhang & Jiayu Wu & Chunyao Zhou & Qingyu Zhang, 2019. "Installation Planning in Regional Thermal Power Industry for Emissions Reduction Based on an Emissions Inventory," IJERPH, MDPI, vol. 16(6), pages 1-13, March.
  61. Domonkos, Tomas & Fisera, Boris & Siranova, Maria, 2023. "Income inequality as long-term conditioning factor of monetary transmission to bank rates," Economic Modelling, Elsevier, vol. 128(C).
  62. Chiara Gigliarano & Pietro Muliere, 2013. "Estimating the Lorenz curve and Gini index with right censored data: a Polya tree approach," METRON, Springer;Sapienza Università di Roma, vol. 71(2), pages 105-122, September.
  63. Fan Jiang & Nian Cai Liu, 2020. "New wine in old bottles? Examining institutional hierarchy in laureate mobility networks, 1900–2017," Scientometrics, Springer;Akadémiai Kiadó, vol. 125(2), pages 1291-1304, November.
  64. Balakrishnan, N. & Sarabia, José María & Kolev, Nikolai, 2010. "A simple relation between the Leimkuhler curve and the mean residual life," Journal of Informetrics, Elsevier, vol. 4(4), pages 602-607.
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  66. Beach, Charles M., 1979. "Model-Free Statistical Inference with Lorenz Curves, Income Shares, and Gini Coefficients," Queen's Institute for Economic Research Discussion Papers 275154, Queen's University - Department of Economics.
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