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Related papers: Productivity Dispersion: Facts, Theory, and Implic…

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This paper critically investigates standard total factor productivity (TFP) measurement in the public sector, where output information is often incomplete or distorted. The analysis reveals fundamental paradoxes under three common output…

General Economics · Economics 2025-10-09 Timo Kuosmanen , Xun Zhou

Following findings by Ormerod and Mounfield, Wright rises the problem whether a power or an exponential law describes the distribution of occurrences of economic recession periods. In order to clarify the controversy a different set of GDP…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Janusz Miskiewicz , Michele Sanglier

This study considers a model of the income distribution of agents whose pairwise interaction is asymmetric and price-invariant. Asymmetric transactions are typical for chain-trading groups who arrange their business such that commodities…

Probability · Mathematics 2009-11-11 Alexander M. Chebotarev

The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Pareto distribution is introduced and studied. The new…

Methodology · Statistics 2012-12-05 Marcelo B. Pereira , Rodrigo B. Silva , Luz M. Zea , Gauss M. Cordeiro

A microscopic model of aggregation and fragmentation is introduced to investigate the size distribution of businesses. In the model, businesses are constrained to comply with the market price, as expected by the customers, while customers…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

We introduce an auto-regressive model which captures the growing nature of realistic markets. In our model agents do not trade with other agents, they interact indirectly only through a market. Change of their wealth depends, linearly on…

General Finance · Quantitative Finance 2009-07-28 Urna Basu , P. K. Mohanty

We derive a systematic, multiple time-scale perturbation expansion for the work distribution in isothermal quasi-static Langevin processes. To first order we find a Gaussian distribution reproducing the result of Speck and Seifert [Phys.…

Statistical Mechanics · Physics 2015-06-15 Johannes Hoppenau , Andreas Engel

It is well-known that value added per worker is extremely heterogeneous among firms, but relatively little has been done to characterize this heterogeneity more precisely. Here we show that the distribution of value-added per worker…

Zipf's law is one the most conspicuous empirical facts for cities, however, there is no convincing explanation for the scaling relation between rank and size and its scaling exponent. Based on the idea from general fractals and scaling,…

Physics and Society · Physics 2018-12-20 Yanguang Chen

This paper studies the economic role of persistent dispersion in allocations across agents. We develop a tractable model in which firms allocate resources under imperfect information and behavioral updating, generating sustained…

Theoretical Economics · Economics 2026-04-02 Nazaria Solferino

Measuring individual productivity (or equivalently distributing the overall productivity) in a network structure of workers displaying peer effects has been a subject of ongoing interest in many areas ranging from academia to industry. In…

Computer Science and Game Theory · Computer Science 2024-02-07 N. Allouch , Luis A. Guardiola , A. Meca

A brief overview of the models and data analyses of income, wealth, consumption distributions by the physicists, are presented here. It has been found empirically that the distributions of income and wealth possess fairly robust features,…

General Finance · Quantitative Finance 2018-08-07 Kiran Sharma , Anirban Chakraborti

Two dynamical indicators, the local dimension and the extremal index, used to quantify persistence in phase space have been developed and applied to different data across various disciplines. These are computed using the asymptotic limit of…

Dynamical Systems · Mathematics 2024-11-26 Ignacio del Amo , George Datseris , Mark Holland

This study explores the citation diversity in scholarly literature, analyzing different patterns of citations observed within different countries and academic disciplines. We examine citation distributions across top institutions within…

Physics and Society · Physics 2025-08-26 Suchismita Banerjee , Abhik Ghosh , Banasri Basu

Following the work of Okuyama, Takayasu and Takayasu [Okuyama, Takayasu and Takayasu 1999] we analyze huge databases of Japanese companies' financial figures and confirm that the Zipf's law, a power law distribution with the exponent -1,…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Makoto Katori , Hideki Takayasu , Misako Takayasu

By employing exhaustive lists of large firms in European countries, we show that the upper-tail of the distribution of firm size can be fitted with a power-law (Pareto-Zipf law), and that in this region the growth rate of each firm is…

Statistical Mechanics · Physics 2009-11-10 Yoshi Fujiwara , Corrado Di Guilmi , Hideaki Aoyama , Mauro Gallegati , Wataru Souma

A growing number of applications involve settings where, in order to infer heterogeneous effects, a researcher compares various units. Examples of research designs include children moving between different neighborhoods, workers moving…

Econometrics · Economics 2024-04-03 Stephane Bonhomme , Angela Denis

The measurement of dispersion is one of the most fundamental and ubiquitous statistical concepts, in both applied and theoretical contexts. For dispersion measures, such as the standard deviation, to effectively capture the variability of a…

Methodology · Statistics 2025-07-09 Andreas Eberl , Bernhard Klar

Employing profits data of Japanese firms in 2003--2005, we kinematically exhibit the static log-normal distribution in the middle scale region. In the derivation, a Non-Gibrat's law under the detailed balance is adopted together with…

General Finance · Quantitative Finance 2008-12-10 Atushi Ishikawa

Using public data (Forbes Global 2000) we show that the asset sizes for the largest global firms follow a Pareto distribution in an intermediate range, that is ``interrupted'' by a sharp cut-off in its upper tail, where it is totally…

General Finance · Quantitative Finance 2015-06-17 Davide Fiaschi , Imre Kondor , Matteo Marsili , Valerio Volpati