Modeling and analysis of population distributions

2023 Fiscal Year Final Research Report

• Project/Area Number: 19K03656
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
• Research Institution: University of the Ryukyus
• Principal Investigator: Yamamoto Ken 琉球大学, 理学部, 准教授 (00634693)
• Project Period (FY): 2019-04-01 – 2024-03-31
• Keywords: 確率過程 / 確率分布

Outline of Final Research Achievements

Heavy-tailed distributions in social phenomena were theoretically and numerically analyzed using stochastic processes.
A multiplicative stochastic process with sample-dependent lower bound and geometric Brownian motion with uniformly-distributed observation time were analyzed to obtain distribution functions in exact forms. The results were published in physics journals, Journal of the Physical Society of Japan and Journal of Statistical Mechanics.

Free Research Field

数理物理学

Academic Significance and Societal Importance of the Research Achievements

可変下限値をもつ乗算的確率過程の研究では、得られた確率分布が市町村の従業者数、国立大学法人の運営費交付金、企業のトラブル処理費用などのデータとよく一致することが確認された。このように、本研究の成果は社会現象のデータ解析への応用が期待される。