  We applied Dirac distribution, Bose-Einstein distribution, and occasionally
Boltzmann-Gibbs distribution in order to determine which is optimal for income
distribution on a large pool of countries. The best fit to the data was
observed in the case of Fermi-Dirac distribution, for which the coefficient of
determination showed the best goodness of fit to the data. Using this
distribution for data (spun throughout more years), we obtained the underlying
critical parameters of annual income distribution such as chemical potential
and temperature. The next step was to explore the evolution of income using
economic analogues to chemical potential and temperature. Using as background
the analogy made by Yakovenko between temperature from thermodynamic systems
and nominal income from Economics, we found other analogies that would allow
further analysis and explanation of income.
