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The Gompertz-Pareto Income Distribution

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  • F. Chami Figueira

    (Federal University of Rio de Janeiro-UFRJ)

  • N. J. Moura Jr

    (Brazilian Institute for Geography ans Statistics-IBGE)

  • Marcelo B. Ribeiro

    (Federal University of Rio de Janeiro-UFRJ)

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.

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File URL: http://arxiv.org/pdf/1010.1994
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Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1010.1994.

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Date of creation: Oct 2010
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Publication status: Published in Physica A 390 (2011) 689-698
Handle: RePEc:arx:papers:1010.1994

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References

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Citations

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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. 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.
  3. Maria Letizia Bertotti & Giovanni Modanese, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Papers 1109.0606, arXiv.org.

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