IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

The Gompertz–Pareto income distribution

  • Chami Figueira, F.
  • Moura, N.J.
  • Ribeiro, M.B.

This work analyzes the Gompertz–Pareto distribution (GPD) of personal income, formed by the combination of the Gompertz curve, representing the overwhelming majority of the economically less favorable part of the population of a country, and the Pareto power law, which describes its tiny richest part. Equations for the Lorenz curve, Gini coefficient and the percentage share of the Gompertzian part relative to the total income are all written in this distribution. We show that only three parameters, determined by linear data fitting, are required for its complete characterization. Consistency checks are carried out using income data of Brazil from 1981 to 2007 and they lead to the conclusion that the GPD is consistent and provides a coherent and simple analytical tool to describe personal income distribution data.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.sciencedirect.com/science/article/pii/S0378437110008721
Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

Volume (Year): 390 (2011)
Issue (Month): 4 ()
Pages: 689-698

as
in new window

Handle: RePEc:eee:phsmap:v:390:y:2011:i:4:p:689-698
Contact details of provider: Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Repetowicz, Przemysław & Hutzler, Stefan & Richmond, Peter, 2005. "Dynamics of money and income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 641-654.
  2. Clementi, F. & Di Matteo, T. & Gallegati, M. & Kaniadakis, G., 2008. "The κ-generalized distribution: A new descriptive model for the size distribution of incomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3201-3208.
  3. Alvarez-Ramirez, Jose & Rodriguez, Eduardo & Urrea, Rafael, 2007. "Scale invariance in the 2003–2005 Iraq conflict," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 291-301.
  4. D. COLANDER & al., 2010. "The Financial Crisis and the Systemic Failure of Academic Economics," VOPROSY ECONOMIKI, N.P. Redaktsiya zhurnala "Voprosy Economiki", vol. 6.
  5. Nicola Scafetta & Sergio Picozzi & Bruce West, 2004. "An out-of-equilibrium model of the distributions of wealth," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 353-364.
  6. F. Clementi & M. Gallegati & G. Kaniadakis, 2006. "k-Generalized Statistics in Personal Income Distribution," Papers physics/0607293, arXiv.org, revised Feb 2007.
  7. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
  8. Keen, Steve, 2003. "Standing on the toes of pygmies:," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 108-116.
  9. Bouchaud, Jean-Philippe & Mézard, Marc, 2000. "Wealth condensation in a simple model of economy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(3), pages 536-545.
  10. Anand Banerjee & Victor M. Yakovenko, 2009. "Universal patterns of inequality," Papers 0912.4898, arXiv.org, revised Apr 2010.
  11. Moura, Newton J. & Ribeiro, Marcelo B., 2006. "Zipf law for Brazilian cities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 441-448.
  12. F. Clementi & M. Gallegati & G. Kaniadakis, 2009. "A k-generalized statistical mechanics approach to income analysis," Papers 0902.0075, arXiv.org, revised Feb 2009.
  13. Newton J. Moura Jr. & Marcelo B. Ribeiro, 2008. "Evidence for the Gompertz Curve in the Income Distribution of Brazil 1978-2005," Papers 0812.2664, arXiv.org.
  14. Chatterjee, Arnab & K. Chakrabarti, Bikas & Manna, S.S, 2004. "Pareto law in a kinetic model of market with random saving propensity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 155-163.
  15. G. Kaniadakis, 2009. "Maximum entropy principle and power-law tailed distributions," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 70(1), pages 3-13, July.
  16. Jean-Philippe Bouchaud, 2009. "The (unfortunate) complexity of the economy," Papers 0904.0805, arXiv.org.
  17. Gallegati, Mauro & Keen, Steve & Lux, Thomas & Ormerod, Paul, 2006. "Worrying trends in econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 1-6.
  18. Jean-Philippe Bouchaud, 2008. "Economics need a scientific revolution," Papers 0810.5306, arXiv.org.
  19. Nicola Scafetta & Sergio Picozzi & Bruce J. West, 2004. "An out-of-equilibrium model of the distributions of wealth," Papers cond-mat/0403045, arXiv.org.
  20. Sorin Solomon, 1998. "Stochastic Lotka-Volterra Systems of Competing Auto-Catalytic Agents Lead Generically to Truncated Pareto Power Wealth Distribution, Truncated Levy Distribution of Market Returns, Clustered Volatility," Papers cond-mat/9803367, arXiv.org.
  21. Jean-Philippe Bouchaud & Marc Mezard, 2000. "Wealth condensation in a simple model of economy," Science & Finance (CFM) working paper archive 500026, Science & Finance, Capital Fund Management.
  22. Arnab Chatterjee & Bikas K. Chakrabarti & S. S. Manna, 2003. "Pareto Law in a Kinetic Model of Market with Random Saving Propensity," Papers cond-mat/0301289, arXiv.org, revised Jan 2004.
  23. Solomon, Sorin & Richmond, Peter, 2001. "Power laws of wealth, market order volumes and market returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 188-197.
  24. Schinckus, Christophe, 2009. "Economic uncertainty and econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4415-4423.
  25. Schinckus, Christophe, 2010. "Is econophysics a new discipline? The neopositivist argument," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3814-3821.
  26. Coelho, Ricardo & Richmond, Peter & Barry, Joseph & Hutzler, Stefan, 2008. "Double power laws in income and wealth distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3847-3851.
  27. S. Redner, 1998. "How popular is your paper? An empirical study of the citation distribution," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 4(2), pages 131-134, July.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:390:y:2011:i:4:p:689-698. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.