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Related papers: The Gompertz-Pareto Income Distribution

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This study explores the link between the capital share and income inequality over the past four decades across 56 countries. Calculating the capital share from national accounts alongside top income share data from the World Inequality…

General Economics · Economics 2025-01-07 Oğuzhan Akgün , Ezgi Özsöğüt

The one-dimensional deterministic economic model recently studied by Gonzalez-Estevez et al. [Physica A 387, 4367 (2008)] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the evolution of…

General Finance · Quantitative Finance 2015-05-13 J. Gonzalez-Estevez , M. G. Cosenza , O. Alvarez-Llamoza , R. Lopez-Ruiz

A class of conserved models of wealth distributions are studied where wealth (or money) is assumed to be exchanged between a pair of agents in a population like the elastically colliding molecules of a gas exchanging energy. All sorts of…

Physics and Society · Physics 2008-12-02 Abhijit Kar Gupta

Growth rate of real GDP per capita is represented as a sum of two components -- a monotonically decreasing economic trend and fluctuations related to a specific age population change. The economic trend is modeled by an inverse function of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

We introduce the General Poverty Index (GPI), which summarizes most of the known and available poverty indices, in the form {equation*} GPI=\delta…

Methodology · Statistics 2012-08-21 Gane Samb Lo

We study the distribution P(\omega) of the random variable \omega = x_1/(x_1 + x_2), where x_1 and x_2 are the wealths of two individuals selected at random from the same tempered Paretian ensemble characterized by the distribution \Psi(x)…

General Finance · Quantitative Finance 2012-07-24 G. Oshanin , Yu. Holovatch , G. Schehr

We analyze the income distribution of employees for 9 consecutive years (2001-2009) using a complete social security database for an economically important district of Romania. The database contains detailed information on more than half…

Physics and Society · Physics 2015-06-04 N. Derzsy , Z. Neda , M. A. Santos

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

We show that there is a common mode of origin for the power laws observed in two different models: (i) the Pareto law for the distribution of money among the agents with random saving propensities in an ideal gas-like market model and (ii)…

Physics and Society · Physics 2009-11-11 Pratip Bhattacharyya , Arnab Chatterjee , Bikas K Chakrabarti

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

Combinatorics · Mathematics 2020-10-26 Grant Kopitzke

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and…

Physics and Society · Physics 2015-10-05 Benoit Mahault , Avadh Saxena , Cristiano Nisoli

The Generalized Lotka Voltera (GLV) formalism has been introduced in order to explain the power law distributions in the individual wealth (w_i (t)) (Pareto law) and financial markets returns (fluctuations) (r) as a result of the…

Condensed Matter · Physics 2007-05-23 Yoram Louzoun , Sorin Solomon

Mounting evidences are being gathered suggesting that income and wealth distribution in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas in equilibrium, but also deviating…

Physics and Society · Physics 2008-12-02 Arnab Chatterjee , Sitabhra Sinha , Bikas K. Chakrabarti

The classical approach to analyzing extreme value data is the generalized Pareto distribution (GPD). When the GPD is used to explain a target variable with the large dimension of covariates, the shape and scale function of covariates…

Statistics Theory · Mathematics 2025-11-21 Takuma Yoshida

We develop a general framework, based on Boltzmann transport theory, to analyze the distribution of wealth in societies. Within this framework we derive the distribution function of wealth by using a two-party trading model for the poor…

Statistical Mechanics · Physics 2016-08-31 Arnab Das , Sudhakar Yarlagadda

We study here relations between three inequality indices, namely the Gini ($g$), Pietra ($p$) and Kolkata ($k$) introduced in 1912, 1915 and 2014 respectively and all are derived from the Lorenz function $L(x)$ introduced in 1905. The…

Physics and Society · Physics 2026-03-17 Asim Ghosh , Bikas K. Chakrabarti

The Gini index signals only the dispersion of the distribution and is not very sensitive to income differences at the tails of the distribution. The widely used index of inequality can be adjusted to also measure distributional asymmetry by…

Econometrics · Economics 2022-09-15 Mario Schlemmer

The higher-end tail of the wealth distribution in India is studied using recently published lists of the wealth of richest Indians between the years 2002-4. The resulting rank distribution seems to imply a power-law tail for the wealth…

Other Condensed Matter · Physics 2009-11-11 Sitabhra Sinha

The Turkish economy between 2002-2019 period has been investigated within the econophysical approach. From the individual income data obtained from the Household Budget Survey, the Gompertz-Pareto distribution for each year and Goodwin…

General Economics · Economics 2021-06-07 Kerim Eser Afşar , Mehmet Özyigit , Yusuf Yüksel , Ümit Akıncı

The distribution of gross earnings of movies released each year show a distribution having a power-law tail with Pareto exponent $\alpha \simeq 2$. While this offers interesting parallels with income distributions of individuals, it is also…

Physics and Society · Physics 2012-01-11 Sitabhra Sinha , Raj Kumar Pan
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