dorsal/arxiv
View SchemaThe uniqueness of company size distribution function from tent-shaped growth rate distribution
| Authors | Atushi Ishikawa |
|---|---|
| Categories | |
| ArXiv ID | physics/0702248 |
| URL | https://arxiv.org/abs/physics/0702248 |
| DOI | 10.1016/j.physa.2007.04.089 |
Abstract
We report the proof that the extension of Gibrat's law in the middle scale region is unique and the probability distribution function (pdf) is also uniquely derived from the extended Gibrat's law and the law of detailed balance. In the proof, two approximations are employed. The pdf of growth rate is described as tent-shaped exponential functions and the value of the origin of the growth rate distribution is constant. These approximations are confirmed in profits data of Japanese companies 2003 and 2004. The resultant profits pdf fits with the empirical data with high accuracy. This guarantees the validity of the approximations.
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"abstract": "We report the proof that the extension of Gibrat\u0027s law in the middle scale\nregion is unique and the probability distribution function (pdf) is also\nuniquely derived from the extended Gibrat\u0027s law and the law of detailed\nbalance. In the proof, two approximations are employed. The pdf of growth rate\nis described as tent-shaped exponential functions and the value of the origin\nof the growth rate distribution is constant. These approximations are confirmed\nin profits data of Japanese companies 2003 and 2004. The resultant profits pdf\nfits with the empirical data with high accuracy. This guarantees the validity\nof the approximations.",
"arxiv_id": "physics/0702248",
"authors": [
"Atushi Ishikawa"
],
"categories": [
"physics.soc-ph",
"q-fin.GN"
],
"doi": "10.1016/j.physa.2007.04.089",
"title": "The uniqueness of company size distribution function from tent-shaped growth rate distribution",
"url": "https://arxiv.org/abs/physics/0702248"
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