2003/07/31 by Takayuki Mizuno, Misako Takayasu, Hideki Takayasu · 15 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Accounting #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Distribution (mathematics) #Econometrics #Economics #Econophysics #Field (mathematics) #Income distribution #Inequality #Langevin equation #Mathematical analysis #Mathematics #Multiplicative function #Physics #Pure mathematics #Statistical physics #Statistics #Theoretical and Computational Physics #Variance (accounting) #Zipf's law #cond-mat.stat-mech #q-fin.GN
paper · pdf · doi:10.1016/j.physa.2003.10.006
published in Physica A Statistical Mechanics and its Applications 332, 403-411 (Elsevier BV) · 10 pages, 7 figures, submitted to Physics A
arxiv created 2003/08/19 · openalex publication_date 2003/10/30 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a mean-field type approximation for description of company's income statistics. Utilizing huge company data we show that a discrete version of Langevin equation with additive and multiplicative noises can appropriately describe the time evolution of a company's income fluctuation in statistical sense. The Zipf's law of income distribution is shown to be hold in a steady-sate widely, and country-dependence of income distribution can also be nicely implemented in our numerical simulation.