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Probability distributions of money, income, and energy consumption per capita are studied for ensembles of economic agents. The principle of entropy maximization for partitioning of a limited resource gives exponential distributions for the…

Statistical Finance · Quantitative Finance 2010-09-02 Anand Banerjee , Victor M. Yakovenko

This article is a supplement to my main contribution to the Routledge Handbook of Complexity Economics (2023). On the basis of three recent papers, it presents an unconventional perspective on economic inequality from a statistical physics…

General Economics · Economics 2023-07-06 Victor M. Yakovenko

The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

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

Income and wealth distribution affect stability of a society to a large extent and high inequality affects it negatively. Moreover, in the case of developed countries, recently has been proven that inequality is closely related to all…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean , Fedor Kusmartsev

The evolution of personal income distribution (PID) in four countries: Canada, New Zealand, the UK, and the USA follows a unique trajectory. We have revealed precise match in the shape of two age-dependent features of the PID: mean income…

General Finance · Quantitative Finance 2015-10-12 Ivan Kitov , Oleg Kitov

We analyze and develop a quantitative model describing the evolution of personal income distribution, PID, for males and females in the U.S. between 1930 and 2014. The overall microeconomic model, which we introduced ten years ago,…

General Finance · Quantitative Finance 2015-10-12 Ivan Kitov , Oleg Kitov

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized…

General Finance · Quantitative Finance 2015-06-04 Joachim Kaldasch

With a new deprivation (or poverty) function, in this paper, we theoretically study the changes in poverty with respect to the `global' mean and variance of the income distribution using Indian survey data. We show that when the income…

Physics and Society · Physics 2015-06-26 Amit K Chattopadhyay , Sushanta K Mallick

We study the global probability distribution of energy consumption per capita around the world using data from the U.S. Energy Information Administration (EIA) for 1980-2010. We find that the Lorenz curves have moved up during this time…

Data Analysis, Statistics and Probability · Physics 2014-03-11 Scott Lawrence , Qin Liu , Victor M. Yakovenko

In a recent paper in this journal [J. Stat. Mech. (2009) P02037] we proposed a new, physically motivated, distribution function for modeling individual incomes having its roots in the framework of the k-generalized statistical mechanics.…

General Finance · Quantitative Finance 2012-12-07 F. Clementi , M. Gallegati , G. Kaniadakis

We analyze the data on personal income distribution from the Australian Bureau of Statistics. We compare fits of the data to the exponential, log-normal, and gamma distributions. The exponential function gives a good (albeit not perfect)…

Physics and Society · Physics 2008-12-02 Anand Banerjee , Victor M. Yakovenko , T. Di Matteo

We employ a flexible parametric model to estimate global income, health, and education distributions from 1980 to 2015. Using these marginal distributions within a copula-based framework, we construct a global joint distribution of…

Applications · Statistics 2024-10-31 Koen Decancq , Vanesa Jorda

The first part of this paper is a brief survey of the approaches to economic inequality based on ideas from statistical physics and kinetic theory. These include the Boltzmann kinetic equation, the time-reversal symmetry, the ergodicity…

Physics and Society · Physics 2023-06-06 Danial Ludwig , Victor M. Yakovenko

We report empirical studies on the personal income distribution, and clarify that the distribution pattern of the lognormal with power law tail is the universal structure. We analyze the temporal change of Pareto index and Gibrat index to…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

We analyze three sets of income data: the US Panel Study of Income Dynamics PSID), the British Household Panel Survey (BHPS), and the German Socio-Economic Panel (GSOEP). It is shown that the empirical income distribution is consistent with…

Physics and Society · Physics 2008-12-02 F. Clementi , M. Gallegati

Each individual in society experiences an evolution of their income during their lifetime. Macroscopically, this dynamics creates a statistical relationship between age and income for each society. In this study, we investigate income…

General Economics · Economics 2022-02-01 Fatih Ozhamaratli , Oleg Kitov , Paolo Barucca

Polynomial distribution can be applied to dynamical systems in certain situations. Macroeconomic systems characterized by economic variables such as income and wealth can be modelled similarly using polynomials. We extend our previous work…

General Finance · Quantitative Finance 2016-03-29 Elvis Oltean

We investigate the Japanese personal income distribution in the high income range over the 112 years 1887-1998, and that in the middle income range over the 44 years 1955-98. It is observed that the distribution pattern of the lognormal…

Statistical Mechanics · Physics 2008-12-02 Wataru Souma

Survey data are widely used to study how income inequality, poverty, and welfare evolve over time. A common practice is to estimate the income distribution separately for each year, treating annual observations as independent…

Econometrics · Economics 2026-04-24 David Gunawan

Using a panel of 102 countries from PWT 10.0 covering 1970-2019, we examine the veracity of the assumption that a time-homogeneous, first-order process describes the evolution of the cross-country distribution of per capita output, an…

General Economics · Economics 2025-06-10 Davide Fiaschi , Paul Johnson
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