Advanced Search
MyIDEAS: Login to save this article or follow this journal

The Gompertz–Pareto income distribution

Contents:

Author Info

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

Abstract

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.

Download Info

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.

Bibliographic Info

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/

Related research

Keywords: Income distribution; Pareto power law; Gompertz curve; Brazil’s income data; Fractals;

Other versions of this item:

References

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. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
  2. 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.
  3. F. Clementi & T. Di Matteo & M. Gallegati & G. Kaniadakis, 2007. "The k-generalized distribution: A new descriptive model for the size distribution of incomes," Papers 0710.3645, arXiv.org, revised Jan 2008.
  4. David Colander & Hans Föllmer & Armin Haas & Michael Goldberg & Katarina Juselius & Alan Kirman & Thomas Lux & Brigitte Sloth, 2009. "The Financial Crisis and the Systemic Failure of Academic Economics," Middlebury College Working Paper Series 0901, Middlebury College, Department of Economics.
  5. Schinckus, Christophe, 2009. "Economic uncertainty and econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4415-4423.
  6. F. Clementi & M. Gallegati & G. Kaniadakis, 2007. "κ-generalized statistics in personal income distribution," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 57(2), pages 187-193, 05.
  7. Jean-Philippe Bouchaud, 2008. "Economics need a scientific revolution," Papers 0810.5306, arXiv.org.
  8. 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.
  9. Nicola Scafetta & Sergio Picozzi & Bruce J. West, 2004. "An out-of-equilibrium model of the distributions of wealth," Papers cond-mat/0403045, arXiv.org.
  10. 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.
  11. N. J. Moura & M. B. Ribeiro, 2009. "Evidence for the Gompertz curve in the income distribution of Brazil 1978–2005," The European Physical Journal B - Condensed Matter and Complex Systems, Springer, vol. 67(1), pages 101-120, January.
  12. 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.
  13. Anand Banerjee & Victor M. Yakovenko, 2009. "Universal patterns of inequality," Papers 0912.4898, arXiv.org, revised Apr 2010.
  14. Keen, Steve, 2003. "Standing on the toes of pygmies:," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 108-116.
  15. Jean-Philippe Bouchaud, 2009. "The (unfortunate) complexity of the economy," Papers 0904.0805, arXiv.org.
  16. 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.
  17. F. Clementi & M. Gallegati & G. Kaniadakis, 2009. "A k-generalized statistical mechanics approach to income analysis," Papers 0902.0075, arXiv.org, revised Feb 2009.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. 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.
  26. 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.
  27. 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.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Sarabia, José María & Prieto, Faustino & Trueba, Carmen & Jordá, Vanesa, 2013. "About the modified Gaussian family of income distributions with applications to individual incomes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1398-1408.
  2. Maria Letizia Bertotti & Giovanni Modanese, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Papers 1109.0606, arXiv.org.
  3. Bertotti, Maria Letizia & Modanese, Giovanni, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3782-3793.

Lists

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

Statistics

Access and download statistics

Corrections

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.