Theory and applications to the circular data

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K17593
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Nanzan University
• Principal Investigator: Abe Toshihiro 南山大学, 理工学部, 准教授 (70580570)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Keywords: 分布論 / 角度データ / 森林データ解析 / 円柱分布 / circular Markov過程

Outline of Final Research Achievements

Directional data arise when one or more of the variables being observed is angular, and occur in fields as diverse as astronomy, ecology, medicine and the environmental sciences. Examples include the direction of tree crown, wind direction and moving direction of migratory birds. These angular observations correspond to points on the circumference and since they correspond one-to-one, it is often referred to as circular data. The circular data is often analyzed using the circular distributions. We have proposed models that fits well for such data, and considered the parameter estimation for the actual data sets to interpret and disentangle the phenomenon.

Free Research Field

方向統計学