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

Atushi Ishikawa

No 2008-45, Economics Discussion Papers from Kiel Institute for the World Economy (IfW Kiel)

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.

Keywords: Econophysics; firm size displacement distribution; Pareto's law; log-normal distribution; (non-)Gibrat's law; detailed balance (search for similar items in EconPapers)
JEL-codes: D30 D31 D39 (search for similar items in EconPapers)
Date: 2008
New Economics Papers: this item is included in nep-com
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Citations: View citations in EconPapers (2)

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