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Income inequality in Romania: The exponential-Pareto distribution

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  • Oancea, Bogdan
  • Andrei, Tudorel
  • Pirjol, Dan

Abstract

We present a study of the distribution of the gross personal income and income inequality in Romania, using individual tax income data, and both non-parametric and parametric methods. Comparing with official results based on household budget surveys (the Family Budgets Survey and the EU-SILC data), we find that the latter underestimate the income share of the high income region, and the overall income inequality. A parametric study shows that the income distribution is well described by an exponential distribution in the low and middle incomes region, and by a Pareto distribution in the high income region with Pareto coefficient α=2.53. We note an anomaly in the distribution in the low incomes region (∼9,250 RON), and present a model which explains it in terms of partial income reporting.

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  • Oancea, Bogdan & Andrei, Tudorel & Pirjol, Dan, 2017. "Income inequality in Romania: The exponential-Pareto distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 486-498.
    • Handle: RePEc:eee:phsmap:v:469:y:2017:i:c:p:486-498
    DOI: 10.1016/j.physa.2016.11.094
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    as
    1. Frank A. Cowell & Emmanuel Flachaire, 2014. "Statistical Methods for Distributional Analysis," Working Papers halshs-01115996, HAL.
    2. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    3. Drăgulescu, Adrian & Yakovenko, Victor M., 2001. "Exponential and power-law probability distributions of wealth and income in the United Kingdom and the United States," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 213-221.
    4. Flaviu Mihaescu & Liviu Voinea, 2009. "The Impact of the Flat Tax Reform on Inequality: The Case of Romania," wiiw Balkan Observatory Working Papers 81, The Vienna Institute for International Economic Studies, wiiw.
    5. Costas Efthimiou & Adam Wearne, 2016. "Household Income Distribution in the USA," Papers 1602.06234, arXiv.org.
    6. Derzsy, N. & Néda, Z. & Santos, M.A., 2012. "Income distribution patterns from a complete social security database," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5611-5619.
    7. Aaron Clauset & Maxwell Young & Kristian Skrede Gleditsch, 2007. "On the Frequency of Severe Terrorist Events," Journal of Conflict Resolution, Peace Science Society (International), vol. 51(1), pages 58-87, February.
    8. Adrian Dragulescu & Victor M. Yakovenko, 2000. "Statistical mechanics of money," Papers cond-mat/0001432, arXiv.org, revised Aug 2000.
    9. Sara ROSE & Crina VIJU, 2014. "Income inequality in post-communist Central and Eastern European countries," Eastern Journal of European Studies, Centre for European Studies, Alexandru Ioan Cuza University, vol. 5, pages 5-20, June.
    10. Cerqueti, Roy & Ausloos, Marcel, 2015. "Evidence of economic regularities and disparities of Italian regions from aggregated tax income size data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 187-207.
    11. Davies, James B. & Shorrocks, Anthony F., 2000. "The distribution of wealth," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 11, pages 605-675, Elsevier.
    12. Molnar, Maria, 2011. "Income Polarization In Romania," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 64-83, June.
    13. N. Derzsy & Z. Neda & M. A. Santos, 2012. "Income distribution patterns from a complete social security database," Papers 1203.1880, arXiv.org.
    14. Neal, Derek & Rosen, Sherwin, 2000. "Theories of the distribution of earnings," Handbook of Income Distribution, in: A.B. Atkinson & F. Bourguignon (ed.), Handbook of Income Distribution, edition 1, volume 1, chapter 7, pages 379-427, Elsevier.
    15. Costas J. Efthimiou & Adam Wearne, 2016. "Household income distribution in the USA," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(3), pages 1-6, March.
    16. A.B. Atkinson & F. Bourguignon (ed.), 2000. "Handbook of Income Distribution," Handbook of Income Distribution, Elsevier, edition 1, volume 1, number 1.
    17. Voinea, Liviu & Mihaescu, Flaviu, 2009. "The Impact of the Flat Tax Reform on Inequality - the case of Romania," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 19-41, December.
    18. Molnar, Maria, 2010. "Income distribution in Romania," MPRA Paper 30062, University Library of Munich, Germany.
    19. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    Full references (including those not matched with items on IDEAS)

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