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Economics: The Open-Access, Open-Assessment E-Journal - Journal Articles >
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| Title: | | Power-Law and Log-Normal Distributions in Temporal Changes of Firm-Size Variables  |
| Authors: | | Ishikawa, Atushi |
| Issue Date: | | 2009 |
| Citation: | | [Journal:] Economics: The Open-Access, Open-Assessment E-Journal [Volume:] 3 [Issue:] 2009-11 [Pages:] 1-25 [DOI/URN:] doi:10.5018/economics-ejournal.ja.2009-11 |
| Series/Report no.: | | economics - The Open-Access, Open-Assessment E-Journal 2009-11 |
| Abstract: | | In this paper the author shows that signed temporal changes of firm size variables follow the power-law for large changes; while, for middle changes a log-normal distribution is found. In the analyses, the author employed three databases: highincome data, high-sales data and positive-profits data of Japanese firms. It is particularly worth noting that the growth rate distributions in temporal changes of the firm size data have no wide tail, unlike the distributions observed in assets and sales of firms, the number of employees and personal income data. An Extended-Gibrat's Law was also found in the growth rate distributions of temporal changes of firm size variables, which induces both the power-law and the log-normal distributions in the temporal changes of firm size under the Detailed Balance. |
| Subjects: | | Econophysics temporal change of firm size Pareto's law log-normal distribution (non-)Gibrat's law detailed balance |
| JEL: | | D30 D31 D39 |
| Persistent Identifier of the first edition: | | doi:10.5018/economics-ejournal.ja.2009-11 |
| URL of the first edition: | | http://www.economics-ejournal.org/economics/journalarticles/2009-11 |
| Creative Commons License: | |  |
| Document Type: | | Article |
| Appears in Collections: | | Economics: The Open-Access, Open-Assessment E-Journal - Journal Articles
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