Firm Growth Function and Extended-Gibrat’s Property
Joint Authors
Ishikawa, Atushi
Fujimoto, Shouji
Mizuno, Takayuki
Watanabe, Tsutomu
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We analytically show that the logarithmic average sales of firms first follow power-law growth and subsequently follow exponential growth, if the growth-rate distributions of the sales obey the extended-Gibrat’s property and Gibrat’s law.
Here, the extended-Gibrat’s property and Gibrat’s law are statistically observed in short-term data, which denote the dependence of the growth-rate distributions on the initial values.
In the derivation, we analytically show that the parameter of the extended-Gibrat’s property is identical to the power-law growth exponent and that it also decides the parameter of the exponential growth.
By employing around one million bits of exhaustive sales data of Japanese firms in the ORBIS database, we confirmed our analytic results.
American Psychological Association (APA)
Ishikawa, Atushi& Fujimoto, Shouji& Mizuno, Takayuki& Watanabe, Tsutomu. 2016. Firm Growth Function and Extended-Gibrat’s Property. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095940
Modern Language Association (MLA)
Ishikawa, Atushi…[et al.]. Firm Growth Function and Extended-Gibrat’s Property. Advances in Mathematical Physics No. 2016 (2016), pp.1-6.
https://search.emarefa.net/detail/BIM-1095940
American Medical Association (AMA)
Ishikawa, Atushi& Fujimoto, Shouji& Mizuno, Takayuki& Watanabe, Tsutomu. Firm Growth Function and Extended-Gibrat’s Property. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-6.
https://search.emarefa.net/detail/BIM-1095940
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095940