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The power-law tail exponent of income distributions

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  • Clementi, F.
  • Di Matteo, T.
  • Gallegati, M.

Abstract

In this paper we tackle the problem of estimating the power-law tail exponent of income distributions by using the Hill's estimator. A subsample semi-parametric bootstrap procedure minimizing the mean squared error is used to choose the power-law cutoff value optimally. This technique is applied to personal income data for Australia and Italy.

Suggested Citation

  • Clementi, F. & Di Matteo, T. & Gallegati, M., 2006. "The power-law tail exponent of income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 49-53.
    • Handle: RePEc:eee:phsmap:v:370:y:2006:i:1:p:49-53
    DOI: 10.1016/j.physa.2006.04.027
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    References listed on IDEAS

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    1. Olivier V. Pictet & Michel M. Dacorogna & Ulrich A. Muller, 1996. "Hill, Bootstrap and Jackknife Estimators for Heavy Tails," Working Papers 1996-12-10, Olsen and Associates.
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    Cited by:

    1. Lautier, Delphine & Raynaud, Franck, 2011. "Statistical properties of derivatives: A journey in term structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(11), pages 2009-2019.
    2. Chiarella Carl & Di Guilmi Corrado, 2015. "The limit distribution of evolving strategies in financial markets," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(2), pages 137-159, April.
    3. Alberto Russo, 2009. "On the evolution of the Italian bank branch distribution," Economics Bulletin, AccessEcon, vol. 29(3), pages 2063-2078.
    4. Brzezinski, Michal, 2014. "Do wealth distributions follow power laws? Evidence from ‘rich lists’," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 406(C), pages 155-162.
    5. Costas Efthimiou & Adam Wearne, 2016. "Household Income Distribution in the USA," Papers 1602.06234, arXiv.org.
    6. Laura Carvalho & Corrado Di Guilmi, 2020. "Technological unemployment and income inequality: a stock-flow consistent agent-based approach," Journal of Evolutionary Economics, Springer, vol. 30(1), pages 39-73, January.
    7. Liu, Shengli & Liang, Yongtu, 2021. "Statistics of catastrophic hazardous liquid pipeline accidents," Reliability Engineering and System Safety, Elsevier, vol. 208(C).
    8. Zoltan Kuscsik & Denis Horvath, 2007. "Statistical properties of agent-based market area model," Papers 0710.0459, arXiv.org.
    9. Rota, Mauro & Schettino, Francesco & Spinesi, Luca, 2017. "Key inventors, teams and firm performance: The Italian case," Structural Change and Economic Dynamics, Elsevier, vol. 42(C), pages 13-25.
    10. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    11. C. Guilmi & F. Clementi & T. Matteo & M. Gallegati, 2008. "Social networks and labour productivity in Europe: an empirical investigation," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 3(1), pages 43-57, June.
    12. Guo, Qiang & Gao, Li, 2012. "Distribution of individual incomes in China between 1992 and 2009," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(21), pages 5139-5145.
    13. Hu, Feng-Rung, 2008. "On the estimation of the power-law exponent in the mean-field Bouchaud–Mézard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(18), pages 4605-4614.
    14. Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2010. "The Anderson–Darling test of fit for the power-law distribution from left-censored samples," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3508-3515.
    15. Boris M. Dolgonosov, 2018. "A Conceptual Model of the Relationship Among World Economy and Climate Indicators," Biophysical Economics and Resource Quality, Springer, vol. 3(1), pages 1-15, March.
    16. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.
    17. Ermanno Catullo & Antonio Palestrini & Ruggero Grilli & Mauro Gallegati, 2018. "Early warning indicators and macro-prudential policies: a credit network agent based model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(1), pages 81-115, April.
    18. Safari, Muhammad Aslam Mohd & Masseran, Nurulkamal & Ibrahim, Kamarulzaman, 2018. "Optimal threshold for Pareto tail modelling in the presence of outliers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 169-180.

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