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Title:Power-Law and Log-Normal Distributions in Temporal Changes of Firm-Size Variables PDF Logo
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:http://creativecommons.org/licenses/by-nc/2.0/de/deed.en
Document Type:Article
Appears in Collections:Economics: The Open-Access, Open-Assessment E-Journal - Journal Articles

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