Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13091/461
Title: Sociophysics of income distributions modeled by deformed fermi-dirac distributions
Authors: Dil, Emre
Dil, Elif
Keywords: Household Income
Income Distributions
Sociophysics
Deformed Fermi Gas Model
Fermi-Dirac Distributions
Statistical-Mechanics
Q-Analog
Oscillator
Algebra
Issue Date: 2021
Publisher: TAYLOR & FRANCIS INC
Abstract: In order to model the income data, the physical distributions of Fermi-Dirac and Bose-Einstein families have already been proposed in the literature. In this study, we generalize Fermi-Dirac distribution by using a q,p-deformed version of Fermi-Dirac distribution which provides the advantage of working with flexible free q, p deformation parameters as the regression parameters for modeling the income data. We analyze the accuracy of the generalized version, q,p-deformed Fermi-Dirac distribution, on describing the data of income share held by quintiles for countries, and household income for the states of U.S.A. in 2018. We also use chi(2) minimization routine for modeling the data which leads to the best fit parameters for the deformation parameters q and p. Subsequently, we plot the fitted q, p-deformed Fermi-Dirac distribution as income distribution with the obtained deformation parameters, then find the statistical confidence values r(2) from the fitted curve. We figure out that our model properly describes the income data for the systems experiencing a high level of income inequality, and also r(2) values are correlated with the Gini index for those of considered systems.
URI: https://doi.org/10.1080/0022250X.2021.1973456
https://hdl.handle.net/20.500.13091/461
ISSN: 0022-250X
1545-5874
Appears in Collections:Koordinatörlükler Kolekisyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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