26 citations · 34 across the 5 of their papers we have counts for
6 papers · 1 filter
The uniqueness of company size distribution function from tent-shaped growth rate distribution
Atushi Ishikawa
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 extend…
The uniqueness of the profits distribution function in the middle scale region
Atushi Ishikawa
We report the proof that the expression of extended Gibrat's law is unique and the probability distribution function (pdf) is also uniquely derived from the law of detailed balance…
Dynamical change of Pareto index in Japanese land prices
Atushi Ishikawa
We investigate the dynamical behavior in the large scale region of non-equilibrium systems, by employing data on the assessed value of land in 1983 -- 2006 Japan. In the system we…
Annual change of Pareto index dynamically deduced from the law of detailed quasi-balance
Atushi Ishikawa
Employing data on the assessed value of land in 1983 -- 2005 Japan, we investigate the dynamical behavior in the high scale region of non-equilibrium systems. From the detailed qua…
Derivation of the distribution from extended Gibrat's law
Atushi Ishikawa
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 re…
Pareto index induced from the scale of companies
Atushi Ishikawa
Employing profits data of Japanese companies in 2002 and 2003, we confirm that Pareto's law and the Pareto index are derived from the law of detailed balance and Gibrat's law. The…