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We applied Dirac distribution, Bose-Einstein distribution, and occasionallyBoltzmann-Gibbs distribution in order to determine which is optimal for incomedistribution on a large pool of countries. The best fit to the data wasobserved in the case of Fermi-Dirac distribution, for which the coefficient ofdetermination showed the best goodness of fit to the data. Using thisdistribution for data (spun throughout more years), we obtained the underlyingcritical parameters of annual income distribution such as chemical potentialand temperature. The next step was to explore the evolution of income usingeconomic analogues to chemical potential and temperature. Using as backgroundthe analogy made by Yakovenko between temperature from thermodynamic systemsand nominal income from Economics, we found other analogies that would allowfurther analysis and explanation of income.

A study of Methods from Statistical Mechanics applied to income distribution