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Kinetic theory and Brazilian income distribution

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  • Siciliani, Igor D.S.
  • Tragtenberg, M.H.R.

Abstract

We investigate the Brazilian personal income distribution using data from National Household Sample Survey (PNAD), an annual research available by the Brazilian Institute of Geography and Statistics (IBGE). It provides general characteristics of the country’s population. Using PNAD data background we also confirm the effectiveness of a semi-empirical model that reconciles Pareto power-law for high-income people and Boltzmann–Gibbs distribution for the rest of the population. We use three measures of income inequality: the Pareto index, the average income and the crossover income. In order to cope with many dimensions of the income inequality, we calculate these three indices and also the Gini coefficient for the general population as well as for two kinds of population dichotomies: black/indigenous/mixed race versus white/yellow and men versus women. We followed the time series of these indices for the period 2001–2014. The results suggest a decreasing of Brazilian income inequality over the selected period. Another important result is that historically-disadvantaged subgroups (Women and black/indigenous/mixed race),that are the majority of the population, have a more egalitarian income distribution. These groups have also a smaller income than the others and this social structure remained virtually unchanged in this period.

Suggested Citation

  • Siciliani, Igor D.S. & Tragtenberg, M.H.R., 2019. "Kinetic theory and Brazilian income distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 166-174.
    • Handle: RePEc:eee:phsmap:v:513:y:2019:i:c:p:166-174
    DOI: 10.1016/j.physa.2018.08.164
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    Cited by:

    1. Colombo, Jefferson A. & Cruz, Fernando I. L. & Paese, Luis H. Z. & Cortes, Renan X., 2021. "The diversification benefits of cryptocurrencies in multi-asset portfolios: cross-country evidence," Textos para discussão 542, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    2. Díaz, Juan D. & Gutiérrez Cubillos, Pablo & Tapia Griñen, Pablo, 2021. "The exponential Pareto model with hidden income processes: Evidence from Chile," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).

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