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 chapter was originally published in The New Palgrave Dictionary of Economics, 2nd edition, 2008. Edited by Steven N. Durlauf and Lawrence E. Blume
Bibliography
Champernowne, D.G. 1952. The graduation of income distributions. Econometrica 20: 591–615.
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.
Feller, W. 1950, 1966. An introduction to probability theory and its applications. 2 vols. Reprinted, New York: John Wiley & Sons, 1968, 1971.
Ijiri, Y., and H.A. Simon. 1964. Business firm growth and size. American Economic Review 54: 77–89.
Mandelbrot, B. 1960. The Pareto–Lévy law and the distribution of income. International Economic Review 1 (2): 79–106.
Mandelbrot, B. 1961. Stable Paretian random functions and the multiplicative variation of income. Econometrica 29 (4): 517–543.
Pareto, V. 1897. Cours d’économie politique. Lausanne: Rouge.
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.
Steindl, J. 1965. Random processes and the growth of firms. A study of the Pareto law. London: Griffin.
Steindl, J. 1972. The distribution of wealth after a model of Wold and Whittle. Review of Economic Studies 39 (3): 263–279.
Wold, H.O.A., and P. Whittle. 1957. A model explaining the Pareto distribution of wealth. Econometrica 25: 591–595.
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.
Zipf, G.K. 1949. Human behavior and the principle of least effort. Reading: Addison-Wesley.
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Steindl, J. (2008). Pareto Distribution. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95121-5_1403-2
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DOI: https://doi.org/10.1057/978-1-349-95121-5_1403-2
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Latest
Pareto Distribution- Published:
- 14 March 2017
DOI: https://doi.org/10.1057/978-1-349-95121-5_1403-2
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Pareto Distribution- Published:
- 28 October 2016
DOI: https://doi.org/10.1057/978-1-349-95121-5_1403-1