Sociophysics of income distributions modeled by deformed fermi-dirac distributions

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dc.contributor.authorDil, Emre
dc.contributor.authorDil, Elif
dc.date.accessioned2024-03-13T10:35:20Z
dc.date.available2024-03-13T10:35:20Z
dc.date.issued2023
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.1080/0022250X.2021.1973456
dc.identifier.endpage122en_US
dc.identifier.issn0022-250X
dc.identifier.issn1545-5874
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage97en_US
dc.identifier.urihttps://doi.org/10.1080/0022250X.2021.1973456
dc.identifier.urihttps://hdl.handle.net/20.500.12662/4364
dc.identifier.volume47en_US
dc.identifier.wosWOS:000703853600001en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofJournal Of Mathematical Sociologyen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHousehold incomeen_US
dc.subjectincome distributionsen_US
dc.subjectsociophysicsen_US
dc.subjectdeformed fermi gas modelen_US
dc.subjectfermi-dirac distributionsen_US
dc.titleSociophysics of income distributions modeled by deformed fermi-dirac distributionsen_US
dc.typeArticleen_US

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