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We show that an economic system populated by multiple agents generates an equilibrium distribution in the form of multiple scaling laws of conditional PDFs, which are sufficient for characterizing the probability distribution. The existence…

General Finance · Quantitative Finance 2010-03-12 Hideaki Aoyama , Yoshi Fujiwara , Mauro Gallegati

We study unit-level expenditure on consumption across multiple countries and multiple years, in order to extract invariant features of consumption distribution. We show that the bulk of it is lognormally distributed, followed by a power law…

Physics and Society · Physics 2017-03-01 Anindya S. Chakrabarti , Arnab Chatterjee , Tushar K. Nandi , Asim Ghosh , Anirban Chakraborti

Labor productivity was studied at the microscopic level in terms of distributions based on individual firm financial data from Japan and the US. A power-law distribution in terms of firms and sector productivity was found in both countries'…

General Finance · Quantitative Finance 2015-05-13 Yuichi Ikeda , Wataru Souma

Power-law distributions occur in wide variety of physical, biological, and social phenomena. In this paper, we propose a statistical hypothesis test based on the log-likelihood ratio to assess whether two samples of discrete data are drawn…

Methodology · Statistics 2015-03-03 Alessandro Bessi

Zipf's power-law distribution is a generic empirical statistical regularity found in many complex systems. However, rather than universality with a single power-law exponent (equal to 1 for Zipf's law), there are many reported deviations…

Physics and Society · Physics 2015-03-18 Ryohei Hisano , Didier Sornette , Takayuki Mizuno

Power law distributions of macroscopic observables are ubiquitous in both the natural and social sciences. They are indicative of correlated, cooperative phenomena between groups of interacting agents at the microscopic level. In this paper…

Condensed Matter · Physics 2009-11-07 P Ormerod , C Mounfield

We study the frequency distribution of family names. From a common data base, we count the number of people who share the same family name. This is the size of the family. We find that (i) the total number of different family names in a…

Statistical Mechanics · Physics 2009-10-31 Sasuke Miyazima , Youngki Lee , Tomomasa Nagamine , Hiroaki Miyajima

As a major part of the daily operation in an enterprise, purchasing frequency is of constant change. Recent approaches on the human dynamics can provide some new insights into the economic behaviors of companies in the supply chain. This…

Physics and Society · Physics 2015-05-20 Lei Gao , Jin-Li Guo , Chao Fan , Xue-Jiao Liu

Enduring violent conflicts are interrupted by lulls without violence. Studies of interevent times found power law distributions based on coarse-grained data with a resolution of one day. Fine-grained data of violence with a resolution of…

Physics and Society · Physics 2026-04-14 Jeroen Bruggeman

Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the detection and characterization of power laws is…

Data Analysis, Statistics and Probability · Physics 2009-11-12 Aaron Clauset , Cosma Rohilla Shalizi , M. E. J. Newman

Employing data on the assessed value of land in 1974--2007 Japan, we exhibit a quasistatically varying log-normal distribution in the middle scale region. In the derivation, a Non-Gibrat's law under the detailed quasi-balance is adopted…

Statistical Finance · Quantitative Finance 2008-12-02 Atushi Ishikawa

We study 17 different statistical distributions for sizes obtained {}from the classical and recent literature to describe a relevant variable in the social sciences and Economics, namely the firms' sales distribution in six countries over…

General Economics · Economics 2023-01-24 Arturo Ramos , Till Massing , Atushi Ishikawa , Shouji Fujimoto , Takayuki Mizuno

Power-law distributions are ubiquitous in nature. Random multiplicative processes are a basic model for the generation of power-law distributions. It is known that, for discrete-time systems, the power-law exponent decreases as the…

Statistical Mechanics · Physics 2021-11-05 Satoru Morita

We investigate relationship between annual electric power consumption per capita and gross domestic production (GDP) per capita for 131 countries. We found that the relationship can be fitted with a power-law function. We examine the…

General Finance · Quantitative Finance 2012-10-16 Aki-Hiro Sato , Ken Umeno

Empirical data of supermarket sales show stylised facts that are similar to stock markets, with a broad (truncated) Levy distribution of weekly sales differences in the baseline sales [R.D. Groot, Physica A 353 (2005) 501]. To investigate…

Physics and Society · Physics 2009-11-11 Robert D. Groot

This paper introduces nonparametric econometric methods that characterize general power law distributions under basic stability conditions. These methods extend the literature on power laws in the social sciences in several directions.…

Economics · Quantitative Finance 2016-06-07 Ricardo T. Fernholz

To investigate the actual phenomena of transport on a complex network, we analysed empirical data for an inter-firm trading network, which consists of about one million Japanese firms and the sales of these firms (a sale corresponds to the…

General Finance · Quantitative Finance 2015-03-19 Hayafumi Watanabe , Hideki Takayasu , Misako Takayasu

Gradually Truncated Log-normal distribution - Size distribution of firms Abstract Many natural and economical phenomena are described through power law or log- normal distributions. In these cases, probability decreases very slowly with…

Statistical Mechanics · Physics 2008-12-02 Hari M. Gupta , Jose R. Campanha

A new model, called "Human Dynamics", has been recently proposed that individuals execute activities based on a perceived priority of tasks, which can be characterized by a power-law distribution of waiting time between consecutive tasks…

Computers and Society · Computer Science 2019-11-05 Jonathan J. H. Zhu , Tai-Quan Peng

This letter treats of the power-law distribution of the sales of items. We propose a simple stochastic model which expresses a selling process of an item. This model produces a stationary power-law distribution, whose power-law exponent is…

Physics and Society · Physics 2015-01-12 Ken Yamamoto
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