Abe Toshihiro

J-GLOBAL         Last updated: Apr 9, 2019 at 12:49
Abe Toshihiro
Faculty of Science and Engineering


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 flight directions of migrating birds, the directions of wind or ocean currents, and the directions of fault lines in geological bedrock. When just one angle is measured the resulting angular variable is referred to as being ``circular"; it being possible to represent each observation as a point on the circumference of the unit circle. In general, it is crucial that directional data are analyzed as such and not employing the statistical techniques designed for linear data (observed on the real line or throughout real space). ``Directional statistics" deals with the methodology for analyzing directional data in general, whereas the term ``circular statistics" is employed when the data are, more specifically, circular. Circular distributions arise as putative models for circular data, and numerous families of circular distributions have been proposed in the literature.

Now I'm studying Directional Statsitcs and am interested in robust statistics, multivariate analysis information geometry and copula.

Research Interests


Research Areas


Academic & Professional Experience

Apr 2010
Mar 2012
Project Researcher, The Institute of Statistical Mathematics

Published Papers

Pewsey Arthur, Abe Toshihiro
Annals of the Institute of Statistical Mathematics   67(3) 573-594   Jun 2015   [Refereed]
Aakala Tuomas, Shimatani Kenichiro, Abe Toshihiro, Kubota Yasuhiro, Kuuluvainen Timo
Oikos      2015   [Refereed]
Abe Toshihiro, Ley Christophe
arXiv preprint arXiv:1505.08113      2015   [Refereed]
Fujisawa Hironori, Abe Toshihiro
Statistical Methodology   25 89-98   Jul 2015   [Refereed]
Fujisawa Hironori, Abe Toshihiro
   2014   [Refereed]
Abe Toshihiro, Pewsey Arthur, Shimizu Kunio
Annals of the Institute of Statistical Mathematics   65(5) 833   2013   [Refereed]
Abe Toshihiro, Shimizu Kunio, Kuuluvainen Timo, Aakala Tuomas
Environmental and ecological statistics   19(3) 295-307   Sep 2012   [Refereed]
Abe Toshihiro, Kubota Yasuhiro, Shimatani Kenichiro, Aakala Tuomas, Kuuluvainen Timo
Ecological Indicators   18 559   2012   [Refereed]
Abe Toshihiro, Pewsey Arthur
Computational Statistics & Data Analysis   55(12) 3271   2011   [Refereed]


Toshihiro Abe, Yasuhiro Kubota, Kenichiro Shimatani, Tuomas Aakala and Timo Kuuluvainen
Ecological Indicators,   18 559-566   Jul 2012   [Refereed]
Abe, T. and Pewsey, A.
Computational Statistics & Data Analysis   55(12) 3271-3282   Dec 2011   [Refereed]
Abe, T. and Pewsey, A.
Statistical Papers   52(3) 683-707   Aug 2011   [Refereed]
Abe, T., Shimizu, K. and Pewsey, A.
Journal of The Japan Statistical Society   40(1) 45-61   Jun 2010   [Refereed]
A Study of Families of Circular Distributions
Toshihiro Abe
   Feb 2010   [Refereed]
Thesis, Keio University

Conference Activities & Talks

Cosine perturbation of bimodal circular distributions
応用統計学会   May 2010   
統計関連学会連合大会   Sep 2008   
投影図法による円周上の Tex 分布の生成
The Mathematical Society of Japan   Mar 2006