Power-Law and Log-Normal Distributions in Firm Size Displacement Data
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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- Masashi Tomoyose & Shouji Fujimoto & Atushi Ishikawa, 2008. "Non-Gibrat's law in the middle scale region," Papers 0809.3060, arXiv.org.
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cond-mat/0310061, arXiv.org, revised Nov 2003.
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- Ishikawa, Atushi, 2007. "The uniqueness of firm size distribution function from tent-shaped growth rate distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 79-84.
- Ishikawa, Atushi, 2006. "Annual change of Pareto index dynamically deduced from the law of detailed quasi-balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 525-535.
- Atushi Ishikawa, 2007. "Quasistatically varying log-normal distribution in the middle scale region of Japanese land prices," Papers 0710.1893, arXiv.org.
- Ishikawa, Atushi, 2006. "Derivation of the distribution from extended Gibrat's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 425-434.
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