Deriving the size distribution of personal wealth from “the rich get richer, the poor get poorer”

DOI10.1080/0022250X.1993.9990114zbMath0789.62092OpenAlexW2094953288MaRDI QIDQ3141157

John Angle

Publication date: 13 June 1994

Published in: The Journal of Mathematical Sociology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0022250x.1993.9990114

zbMATH Keywords

equilibrium distributioninequality processpersonal wealthinteracting particle system model of wealth distributionmixture of negative binomial probability functionssurplus theory of social stratificationtwo parameter gamma probability density function

Mathematics Subject Classification ID

Applications of statistics to economics (62P20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Special processes (60K99) Statistical methods; economic indices and measures (91B82) Mathematical sociology (including anthropology) (91D99)

Related Items (7)

On the identification of extreme outliers and dragon-kings mechanisms in the upper tail of income distribution ⋮ The Statistical Signature of Pervasive Competition on Wage and Salary Incomes ⋮ A new \(\kappa\)-deformed parametric model for the size distribution of wealth ⋮ The topology of scale-free networks with an S-shaped nonlinear growth characteristic ⋮ Hotelling competition and the gamma distribution ⋮ Boltzmann-like income distribution in low and middle income classes: evidence from the United Kingdom ⋮ The Inequality Process Versus the Saved Wealth Model: Which Is the More Likely to Imply an Analogue of Thermodynamics in Social Science?

Cites Work

• Unnamed Item
• Some Generalized Functions for the Size Distribution of Income
• An Analysis of Some Properties of Alternative Measures of Income Inequality Based on the Gamma Distribution Function
• Some Summation Theorems on the Hahn Polynomials

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