Skip to main content
Log in

An statistical analysis of stratification and inequity in the income distribution

  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract.

The analysis of the USA 2001 income distribution shows that it can be described by at least two main components, which obey the generalized Tsallis statistics with different values of the q parameter. Theoretical calculations using the gas kinetics model with a distributed saving propensity factor and two ensembles reproduce the empirical data and provide further information on the structure of the distribution, which shows a clear stratification. This stratification is amenable to different interpretations, which are analyzed. The distribution function is invariant with the average individual income, which implies that the inequity of the distribution cannot be modified by increasing the total income.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.N. Mantegna, H.E. Stanley, An introduction to Econophysiscs (Cambrigde University Press, UK, 2000)

  2. V. Pareto, Cours d’Économie Politique, edited by F. Pichou (Paris, 1897), Vol. 2

  3. W. Souma, Fractals 9, 463 (2001)

    Article  Google Scholar 

  4. C. Dagum, Statistica 16, 235 (2006)

    MathSciNet  Google Scholar 

  5. D. Champernowne, Economic J. 53, 318, (1953)

  6. V.M. Yakovenko, J.B. Rosser Jr., Rev. Mod. Phys. 81, 1703 (2009)

    Article  ADS  Google Scholar 

  7. F. Clementi, M. Gallegati, Physica A 350, 427 (2005)

    Article  ADS  Google Scholar 

  8. J.C. Ferrero, Physica A 341, 575 (2004)

    Article  ADS  Google Scholar 

  9. J.C. Ferrero, in Econophysics of Wealth Distribution, edited by A. Chaterjje, S. Yarlagadda, B.K. Chakrabarti (Springer, Milan, 2005), pp. 159–167

  10. G. Kanadiakis, Physica A 296, 405 (2001)

    Article  ADS  Google Scholar 

  11. F. Clementi, T. Di Matteo, M. Gallegati, G. Kanadiakis, Physica A 387, 3201 (2008)

    Article  ADS  Google Scholar 

  12. T. Lux, in Handbook of Research in Complexity, edited by B. Roser (Chetenham, Edward Elgar, 2009), pp. 213–258

  13. J. P. Bouchard, M. Mézard, Physica A 282, 536 (2000)

    Article  ADS  Google Scholar 

  14. S. Solomon, P. Richmond, Physica A 299, 188 (2001)

    Article  MATH  ADS  Google Scholar 

  15. W.J. Reed, Physica A 319, 469 (2003)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. E. Bennati, La simulazione statistica nell’analisi della distribuzione del reddito: modeli realistici e metodo di Monte Carlos (ETS Editrici, Pisa, 1988)

  17. J. Angle, Soc. Forces 65, 293 (1986)

    Article  Google Scholar 

  18. J. Angle, J. Math. Sociol. 31, 325 (1996)

    Article  Google Scholar 

  19. A. Dragulescu, V. Yakovenko, Eur. Phys. J. B 17, 723 (2000)

    Article  ADS  Google Scholar 

  20. A. Chakraborti, B.K. Chakrabarti, Eur. Phys. J. B 17, 167 (2000)

    Article  ADS  Google Scholar 

  21. A. Charterjee, B.K. Chakrabarti, S.S. Manna, Physica A 335, 155 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  22. M. Patriarca, E. Heinsalu, A. Chakrabarti, Eur. Phys. J. B 73, 145 (2010)

    Article  MATH  ADS  Google Scholar 

  23. M. Gallegati, S. Keen, T. Lux, P. Ormerod, Physica A 370, 1 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  24. N. Scafetta, S. Picozzi, B.J. West, Quant. Financ. 4, 353 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  25. A. Charterjee, B.K. Chakrabarti, S.S. Manna, Phys. Scri. T16, 36 (2003)

    Article  ADS  Google Scholar 

  26. A.C. Silva, V.M. Yakovenko, in Econophysics of wealth distribution, edited by A. Chaterjje, S. Yarlagadda, B.K. Chakrabarti (Springer, Milan, 2005), pp. 15–23

  27. A. Banerjee, V.M. Yakovenko, T. Di Matteo, Physica A 370, 54 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  28. C. Tsallis, J. Stat. Phys. 52, 479 (1988)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. C. Tsallis, R.S. Mendes, A.R. Plastino, Physica A 261, 534 (1998)

    Article  Google Scholar 

  30. J. Angle, Physica A 367, 388 (2006)

    Article  ADS  Google Scholar 

  31. A. Banerjee, V.M. Yakovenko, New J. Phys. 12, 075032 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. C. Ferrero.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ferrero, J. An statistical analysis of stratification and inequity in the income distribution. Eur. Phys. J. B 80, 255–261 (2011). https://doi.org/10.1140/epjb/e2011-11018-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjb/e2011-11018-2

Keywords

Navigation