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Power-Law and Log-Normal Distributions in Firm Size Displacement Data

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Author Info
Ishikawa, Atushi
Abstract

We have shown that firm size signed displacement data follow not only power-law in the large scale region but also the log-normal distribution in the middle scale one. In the analyses, we employ three databases: high-income data, high-sales data and positive-profits data of Japanese firms. It is particularly worth noting that the growth rate distributions of the firm size displacement have no wide tail which is observed in assets, sales of firms, the number of employees and personal income data. An extended-Gibrat's law is also found in the growth rate distributions. This leads the power-law and the log-normal distributions of the firm size displacement under the detailed balance.

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Paper provided by Kiel Institute for the World Economy in its series Economics Discussion Papers with number 2008-45.

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Date of creation: 2008
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Handle: RePEc:zbw:ifwedp:7466

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Related research
Keywords: Econophysics; firm size displacement distribution; Pareto's law; log-normal distribution; (non-)Gibrat's law; detailed balance;

Find related papers by JEL classification:
D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
D30 - Microeconomics - - Distribution - - - General
D39 - Microeconomics - - Distribution - - - Other

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  1. Atushi Ishikawa, 2007. "Quasistatically varying log-normal distribution in the middle scale region of Japanese land prices," Quantitative Finance Papers 0710.1893, arXiv.org. [Downloadable!]
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