Skip to main content

Pareto Distribution

  • Reference work entry
  • First Online:
Book cover The New Palgrave Dictionary of Economics
  • 41 Accesses

Abstract

Using certain data on personal income V. Pareto (1897) plotted income on the abscissa and the number of people who received more than that on the ordinate of logarithmic paper and found a roughly linear relation. This Pareto distribution or Pareto law may be written aswhere α (the negative slope of the straight line) is called the Pareto coefficient. The density of the distribution isThe Pareto coefficient is occasionally used as a measure of inequality: The larger α the less unequal is the distribution. According to Champernowne (1952), α is useful as a measure of inequality for the high income range whereas for medium and low incomes other measures are preferable.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 6,499.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 8,499.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Bibliography

  • Champernowne, D.G. 1952. The graduation of income distributions. Econometrica 20: 591–615.

    Article  Google Scholar 

  • Champernowne, D.G. 1953. A model of income distribution. Economic Journal 63: 318–351. Reprinted in D.G. Champernowne. 1973. The distribution of income between persons. Cambridge: Cambridge University Press.

    Google Scholar 

  • Feller, W. 1950, 1966. An introduction to probability theory and its applications. 2 vols. Reprinted, New York: John Wiley & Sons, 1968, 1971.

    Google Scholar 

  • Ijiri, Y., and H.A. Simon. 1964. Business firm growth and size. American Economic Review 54: 77–89.

    Google Scholar 

  • Mandelbrot, B. 1960. The Pareto–Lévy law and the distribution of income. International Economic Review 1 (2): 79–106.

    Article  Google Scholar 

  • Mandelbrot, B. 1961. Stable Paretian random functions and the multiplicative variation of income. Econometrica 29 (4): 517–543.

    Article  Google Scholar 

  • Pareto, V. 1897. Cours d’économie politique. Lausanne: Rouge.

    Google Scholar 

  • Simon, H.A. 1955. On a class of skew distribution functions. Biometrika 42: 425–440. Reprinted in H.A. Simon. 1957. Models of man: Social and rational. New York: John Wiley.

    Google Scholar 

  • Steindl, J. 1965. Random processes and the growth of firms. A study of the Pareto law. London: Griffin.

    Google Scholar 

  • Steindl, J. 1972. The distribution of wealth after a model of Wold and Whittle. Review of Economic Studies 39 (3): 263–279.

    Article  Google Scholar 

  • Wold, H.O.A., and P. Whittle. 1957. A model explaining the Pareto distribution of wealth. Econometrica 25: 591–595.

    Article  Google Scholar 

  • Yule, G.U. 1924. A mathematical theory of evolution based on the conclusions of Dr. J.C. Willis. Philosophical Transactions of the Royal Society of London Series B 213: 21–87.

    Article  Google Scholar 

  • Zipf, G.K. 1949. Human behavior and the principle of least effort. Reading: Addison-Wesley.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Copyright information

© 2018 Macmillan Publishers Ltd.

About this entry

Check for updates. Verify currency and authenticity via CrossMark

Cite this entry

Steindl, J. (2018). Pareto Distribution. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1403

Download citation

Publish with us

Policies and ethics