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The Pareto law of incomes—an explanation and an extension

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Cited by:

  1. Diego Winkelried & Bruno Escobar, 2022. "Declining inequality in Latin America? Robustness checks for Peru," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 20(1), pages 223-243, March.
  2. Mathias Silva & Michel Lubrano, 2023. "Bayesian correction for missing rich using a Pareto II tail with unknown threshold: Combining EU-SILC and WID data," AMSE Working Papers 2320, Aix-Marseille School of Economics, France.
  3. Miguel Puente-Ajovín & Arturo Ramos, 2015. "On the parametric description of the French, German, Italian and Spanish city size distributions," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 54(2), pages 489-509, March.
  4. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & AL-Dhurafi, Nasr Ahmed, 2020. "The power-law distribution for the income of poor households," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 557(C).
  5. Pascal Seppecher & Isabelle Salle, 2015. "Deleveraging crises and deep recessions: a behavioural approach," Applied Economics, Taylor & Francis Journals, vol. 47(34-35), pages 3771-3790, July.
  6. Matthias Birkner & Niklas Scheuer & Klaus Wälde, 2023. "The dynamics of Pareto distributed wealth in a small open economy," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(2), pages 607-644, August.
  7. Kenji Itao & Kunihiko Kaneko, 2021. "Evolution of family systems and resultant socio-economic structures," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-11, December.
  8. Pedro Gil & Fernanda Figueiredo, 2013. "Firm size distribution under horizontal and vertical innovation," Journal of Evolutionary Economics, Springer, vol. 23(1), pages 129-161, January.
  9. Miguel Puente-Ajovín & Arturo Ramos & Fernando Sanz-Gracia, 2020. "Is there a universal parametric city size distribution? Empirical evidence for 70 countries," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 65(3), pages 727-741, December.
  10. Segarra, Agustí & Teruel, Mercedes, 2012. "An appraisal of firm size distribution: Does sample size matter?," Journal of Economic Behavior & Organization, Elsevier, vol. 82(1), pages 314-328.
  11. Giesen, Kristian & Suedekum, Jens, 2014. "City age and city size," European Economic Review, Elsevier, vol. 71(C), pages 193-208.
  12. Tanabe, Katsuaki, 2018. "Pareto’s 80/20 rule and the Gaussian distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 635-640.
  13. Massing, Till & Puente-Ajovín, Miguel & Ramos, Arturo, 2020. "On the parametric description of log-growth rates of cities’ sizes of four European countries and the USA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
  14. Wang, Yulong & Xiao, Zhijie, 2022. "Estimation and inference about tail features with tail censored data," Journal of Econometrics, Elsevier, vol. 230(2), pages 363-387.
  15. Alexis Akira Toda & Kieran James Walsh, 2017. "Fat tails and spurious estimation of consumption‐based asset pricing models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(6), pages 1156-1177, September.
  16. Ramos, Arturo & Sanz-Gracia, Fernando & González-Val, Rafael, 2013. "A new framework for the US city size distribution: Empirical evidence and theory," MPRA Paper 52190, University Library of Munich, Germany.
  17. Tjeerd de Vries & Alexis Akira Toda, 2022. "Capital and Labor Income Pareto Exponents Across Time and Space," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(4), pages 1058-1078, December.
  18. Hajargasht, Gholamreza & Griffiths, William E., 2013. "Pareto–lognormal distributions: Inequality, poverty, and estimation from grouped income data," Economic Modelling, Elsevier, vol. 33(C), pages 593-604.
  19. Arturo Ramos & Till Massing & Atushi Ishikawa & Shouji Fujimoto & Takayuki Mizuno, 2024. "Mixtures of log-normal distributions in the mid-scale range of firm-size variables," Evolutionary and Institutional Economics Review, Springer, vol. 21(2), pages 249-260, September.
  20. Vladimir Hlasny, 2021. "Parametric representation of the top of income distributions: Options, historical evidence, and model selection," Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
  21. Tudorel Andrei & Bogdan Oancea & Peter Richmond & Gurjeet Dhesi & Claudiu Herteliu, 2017. "Decomposition of the Inequality of Income Distribution by Income Types - Application for Romania," Papers 1709.07960, arXiv.org.
  22. Puente-Ajovin, Miguel & Ramos, Arturo, 2015. "An improvement over the normal distribution for log-growth rates of city sizes: Empirical evidence for France, Germany, Italy and Spain," MPRA Paper 67471, University Library of Munich, Germany.
  23. Tang, Zhixing & Huang, Shan & Zhu, Xinping & Pan, Weijun & Han, Songchen & Gong, Tingyu, 2023. "Research on the multilayer structure of flight delay in China air traffic network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
  24. Arturo, Ramos, 2019. "Have the log-population processes stationary and independent increments? Empirical evidence for Italy, Spain and the USA along more than a century," MPRA Paper 93562, University Library of Munich, Germany.
  25. Ji Hyung Lee & Yuya Sasaki & Alexis Akira Toda & Yulong Wang, 2022. "Capital and Labor Income Pareto Exponents in the United States, 1916-2019," Papers 2206.04257, arXiv.org.
  26. Muhammad Hilmi Abdul Majid & Kamarulzaman Ibrahim & Nurulkamal Masseran, 2023. "Three-Part Composite Pareto Modelling for Income Distribution in Malaysia," Mathematics, MDPI, vol. 11(13), pages 1-15, June.
  27. Kristian Giesen & Jens Suedekum, 2012. "The size distribution across all “cities”: a unifying approach," Working Papers 2012/2, Institut d'Economia de Barcelona (IEB).
  28. Peña, Guillermo & Puente-Ajovín, Miguel & Ramos, Arturo & Sanz-Gracia, Fernando, 2022. "Log-growth rates of CO2: An empirical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
  29. Sherzod B. Akhundjanov & Alexis Akira Toda, 2020. "Is Gibrat’s “Economic Inequality” lognormal?," Empirical Economics, Springer, vol. 59(5), pages 2071-2091, November.
  30. Fen Jiang & Junmei Zhou & Jin Zhang, 2020. "Restricted minimum volume confidence region for Pareto distribution," Statistical Papers, Springer, vol. 61(5), pages 2015-2029, October.
  31. Heath Henderson & Leonardo Corral & Eric Simning & Paul Winters, 2015. "Land Accumulation Dynamics in Developing Country Agriculture," Journal of Development Studies, Taylor & Francis Journals, vol. 51(6), pages 743-761, June.
  32. Mundt, Philipp & Alfarano, Simone & Milaković, Mishael, 2020. "Exploiting ergodicity in forecasts of corporate profitability," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
  33. Higbee, Joshua D. & Jensen, Jonathan E. & McDonald, James B., 2019. "The asymmetric log-Laplace distribution as a limiting case of the generalized beta distribution," Statistics & Probability Letters, Elsevier, vol. 151(C), pages 73-78.
  34. Dai, Liang & Derudder, Ben & Liu, Xingjian, 2018. "Transport network backbone extraction: A comparison of techniques," Journal of Transport Geography, Elsevier, vol. 69(C), pages 271-281.
  35. Arturo Ramos, 2017. "Are the log-growth rates of city sizes distributed normally? Empirical evidence for the USA," Empirical Economics, Springer, vol. 53(3), pages 1109-1123, November.
  36. Aydiner, Ekrem & Cherstvy, Andrey G. & Metzler, Ralf, 2018. "Wealth distribution, Pareto law, and stretched exponential decay of money: Computer simulations analysis of agent-based models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 278-288.
  37. Ramos, Arturo & Sanz-Gracia, Fernando, 2015. "US city size distribution revisited: Theory and empirical evidence," MPRA Paper 64051, University Library of Munich, Germany.
  38. Masato Okamoto, 2014. "A flexible descriptive model for the size distribution of incomes," Economics Bulletin, AccessEcon, vol. 34(3), pages 1600-1610.
  39. William Griffiths & Duangkamon Chotikapanich & Gholamreza Hajargasht, 2022. "A note on inequality measures for mixtures of double Pareto–lognormal distributions," Australian Economic Papers, Wiley Blackwell, vol. 61(2), pages 280-290, June.
  40. Wright, Ian, 2005. "The social architecture of capitalism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 589-620.
  41. Beare, Brendan K & Toda, Alexis Akira, 2020. "On the emergence of a power law in the distribution of COVID-19 cases," University of California at San Diego, Economics Working Paper Series qt9k5027d0, Department of Economics, UC San Diego.
  42. Toda, Alexis Akira, 2017. "A Note On The Size Distribution Of Consumption: More Double Pareto Than Lognormal," Macroeconomic Dynamics, Cambridge University Press, vol. 21(6), pages 1508-1518, September.
  43. Wang, Frank Xuyan, 2021. "Shape factor asymptotic analysis II," MPRA Paper 110827, University Library of Munich, Germany.
  44. Predrag R. Jelenković & Jian Tan, 2010. "Modulated Branching Processes, Origins of Power Laws, and Queueing Duality," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 807-829, November.
  45. Aronsson, Thomas & Jenderny, Katharina & Lanot, Gauthier, 2022. "The quality of the estimators of the ETI," Journal of Public Economics, Elsevier, vol. 212(C).
  46. Enrique Calderín-Ojeda & Kevin Fergusson & Xueyuan Wu, 2017. "An EM Algorithm for Double-Pareto-Lognormal Generalized Linear Model Applied to Heavy-Tailed Insurance Claims," Risks, MDPI, vol. 5(4), pages 1-24, November.
  47. Clementi, F. & Gallegati, M., 2005. "Power law tails in the Italian personal income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 427-438.
  48. Ramos, Arturo, 2015. "Log-growth distributions of US city sizes and non-Lévy processes," MPRA Paper 66561, University Library of Munich, Germany.
  49. Puente-Ajovín, Miguel & Ramos, Arturo & Sanz-Gracia, Fernando & Arribas-Bel, Daniel, 2020. "How sensitive is city size distribution to the definition of city? The case of Spain," Economics Letters, Elsevier, vol. 197(C).
  50. 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.
  51. Heath Henderson & Leonardo Corral & Eric Simning & Paul Winters, 2015. "Land Accumulation Dynamics in Developing Country Agriculture," Journal of Development Studies, Taylor & Francis Journals, vol. 51(6), pages 743-761, June.
  52. Luckstead, Jeff & Devadoss, Stephen, 2017. "Pareto tails and lognormal body of US cities size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 573-578.
  53. Sun, Zhenting, 2023. "Instrument validity for heterogeneous causal effects," Journal of Econometrics, Elsevier, vol. 237(2).
  54. Wang, Xiaoyue & He, Zhixue & Shi, Lei, 2024. "Conformity poses a double-edged sword effect on the evolution of cooperation within heterogeneous endowment populations," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
  55. Li, Mu-Yao & Cai, Qing & Gu, Gao-Feng & Zhou, Wei-Xing, 2019. "Exponentially decayed double power-law distribution of Bitcoin trade sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
  56. Băncescu, Irina & Chivu, Luminiţa & Massing, Till & Preda, Vasile & Puente-Ajovín, Miguel & Ramos, Arturo, 2024. "On the parametric description of log-growth rates of Romanian city sizes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
  57. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman & Hussain, Saiful Izzuan, 2021. "Measuring income inequality: A robust semi-parametric approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
  58. Toda, Alexis Akira, 2012. "The double power law in income distribution: Explanations and evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 84(1), pages 364-381.
  59. Helton Saulo & Roberto Vila & Giovanna V. Borges & Marcelo Bourguignon & Víctor Leiva & Carolina Marchant, 2023. "Modeling Income Data via New Parametric Quantile Regressions: Formulation, Computational Statistics, and Application," Mathematics, MDPI, vol. 11(2), pages 1-25, January.
  60. Masato Okamoto, 2013. "Extension of the κ-generalized distribution: new four-parameter models for the size distribution of income and consumption," LIS Working papers 600, LIS Cross-National Data Center in Luxembourg.
  61. Ji, Guseon & Dai, Bingcun & Park, Sung-Pil & Ahn, Kwangwon, 2020. "The origin of collective phenomena in firm sizes," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
  62. Masato Okamoto, 2022. "Level-adjusted S-Gini index and its complementary index as a pair of sensitivity-adjustable inequality measures," Economics Bulletin, AccessEcon, vol. 42(1), pages 1-16.
  63. Dai, Liang & Derudder, Ben & Liu, Xingjian, 2018. "The evolving structure of the Southeast Asian air transport network through the lens of complex networks, 1979–2012," Journal of Transport Geography, Elsevier, vol. 68(C), pages 67-77.
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