Derivation of the distribution from extended Gibrat's law

Details Derivation of the distribution from extended Gibrat's law Derivation of the distribution from extended Gibrat's law

2005-08-24

arxiv.org/abs/physics/0508178v1

Physics

Physics and Society

13 pages, 8 figures

Scientific paper

10.1016/j.physa.2005.12.005

Employing profits data of Japanese companies in 2002 and 2003, we identify the non-Gibrat's law which holds in the middle profits region. From the law of detailed balance in all regions, Gibrat's law in the high region and the non-Gibrat's law in the middle region, we kinematically derive the profits distribution function in the high and middle range uniformly. The distribution function accurately fits with empirical data without any fitting parameter.

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