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ABE Toshihiro
Faculty of Economics Department of Economics
Professor
Researchmap URL
https://researchmap.jp/abetProfile
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.
Career
■ Career
■ Member History
- Apr. 2017 - Mar. 2021
Nanzan University, Systems and Mathematical Sciences, Associate Professor - Apr. 2015 - Mar. 2017
Nanzan University, Department of Systems and Mathematical Sciences, Lecturer - Apr. 2012 - Mar. 2015
Tokyo University of Science, Department of Management Science, Faculty of Engineering, Assistant Professor - Apr. 2010 - Mar. 2012
The Institute of Statistical Mathematics, Post Doctoral Fellow - Apr. 2010 - Mar. 2012
The Institute of Statistical Mathematics, Project Researcher - Dec. 2003 - Apr. 2005
Manulife Life Insurance Company, アクチュアリー
■ Member History
Research activity information
■ Paper
■ Books and other publications
■ Research Themes
- Cylindrical Models Motivated through Extended Sine-Skewed Circular Distributions
Yoichi Miyata; Takayuki Shiohama; Toshihiro Abe
Symmetry, 03 Mar. 2024 - Bayesian Estimation for Mode and Anti-Mode Preserving Circular Distributions
Abe; T.; Miyata; Y. & Shiohama; T.
Econometrics and Statistics, Jul. 2023, [Reviewed]
Lead, Corresponding - Simple construction of a toroidal distribution from independent circular distributions
Imoto; T. & Abe; T.
Journal of Multivariate Analysis, 2022, [Reviewed] - EM algorithm using overparameterization for the multivariate skew-normal distribution
Abe; T.; Fujisawa; H.; Kawashima; T. & Ley; C.
Econometrics and Statistics, Jul. 2021, [Reviewed]
Lead - Estimation of finite mixture models of skew-symmetric circular distributions
Miyata; Y.; Shiohama; T. & Abe; T.
Metrika, Nov. 2020, [Reviewed] - Multivariate skew distributions with mode-invariance through transformation of scale
Abe; T. & Fujisawa; H.
Japanese Journal of Statistics and Data Science, Dec. 2019, [Reviewed]
Lead, Corresponding - A cylindrical distribution with heavy-tailed linear part
Imoto; T.; Shimizu; K. & Abe; T.
Japanese Journal of Statistics and Data Science, Jun. 2019, [Reviewed] - Circular autocorrelation of stationary circular Markov processes
Abe; T.; Ogata; H.; Shiohama; T. & Taniai; H.
Statistical Inference for Stochastic Processes, Oct. 2017, [Reviewed] - Crown asymmetry in high latitude forests: disentangling the directional effects of tree competition and solar radiation
Tuomas Aakala; Kenichiro Shimatani; Toshihiro Abe; Yasuhiro Kubota; Timo Kuuluvainen
OIKOS, Jul. 2016, [Reviewed] - A family of skew distributions with mode-invariance through transformation of scale
Hironori Fujisawa; Toshihiro Abe
STATISTICAL METHODOLOGY, Jul. 2015, [Reviewed] - The sinh-arcsinhed logistic family of distributions: properties and inference
Arthur Pewsey; Toshihiro Abe
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, Jun. 2015, [Reviewed] - A tractable, parsimonious and highly flexible model for cylindrical data, with applications
Abe Toshihiro; Ley Christophe
arXiv preprint arXiv:1505.08113, 2015, [Reviewed] - A family of multivariate skew distributions with monotonicity of skewness
Fujisawa Hironori; Abe Toshihiro
2014, [Reviewed] - Extending circular distributions through transformation of argument
Toshihiro Abe; Arthur Pewsey; Kunio Shimizu
ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, Oct. 2013, [Reviewed] - Sine-skewed axial distributions with an application for fallen tree data
Toshihiro Abe; Kunio Shimizu; Timo Kuuluvainen; Tuomas Aakala
ENVIRONMENTAL AND ECOLOGICAL STATISTICS, Sep. 2012, [Reviewed] - Circular distributions of fallen logs as an indicator of forest disturbance regimes
Toshihiro Abe; Yasuhiro Kubota; Kenichiro Shimatani; Tuomas Aakala; Timo Kuuluvainen
ECOLOGICAL INDICATORS, Jul. 2012, [Reviewed] - Circular distributions of fallen logs as an indicator of forest disturbance regimes
Toshihiro Abe; Yasuhiro Kubota; Kenichiro Shimatani; Tuomas Aakala; Timo Kuuluvainen
ECOLOGICAL INDICATORS, Jul. 2012, [Reviewed] - Symmetric circular models through duplication and cosine perturbation
Toshihiro Abe; Arthur Pewsey
COMPUTATIONAL STATISTICS & DATA ANALYSIS, Dec. 2011, [Reviewed] - Symmetric circular models through duplication and cosine perturbation
Toshihiro Abe; Arthur Pewsey
COMPUTATIONAL STATISTICS & DATA ANALYSIS, Dec. 2011, [Reviewed] - Sine-skewed circular distributions
Toshihiro Abe; Arthur Pewsey
STATISTICAL PAPERS, Aug. 2011, [Reviewed] - Sine-skewed circular distributions
Toshihiro Abe; Arthur Pewsey
STATISTICAL PAPERS, Aug. 2011, [Reviewed] - Symmetric unimodal models for directional data motivated by inverse stereographic projection.
Abe, T; Shimizu, K; Pewsey, A
Journal of The Japan Statistical Society, Jun. 2010, [Reviewed] - Symmetric unimodal models for directional data motivated by inverse stereographic projection
Abe Toshihiro; Shimizu Kunio; Pewsey Arthur
Journal of the Japan Statistical Society, 2010, [Reviewed] - On Papakonstantinou's extension of the cardioid distribution
Toshihiro Abe; Arthur Pewsey; Kunio Shimizu
STATISTICS & PROBABILITY LETTERS, Oct. 2009, [Reviewed] - On Papakonstantinou's extension of the cardioid distribution
Toshihiro Abe; Arthur Pewsey; Kunio Shimizu
STATISTICS & PROBABILITY LETTERS, Oct. 2009, [Reviewed] - t-Distributions on Various Manifolds
Shimizu, K; Abe, T; Kato, S
Multivariate Statistical Methods with Emerging Applications, Dec. 2008 - Modeling Circular Markov Processes with Time Varying Autocorrelation
Abe Toshihiro; Ogata Hiroaki; Shiohama Takayuki; Taniai Hiroyuki
[Reviewed]
■ Books and other publications
- Cylindrical distributions and their applications to biological data
Joint work
Chapman & Hall/CRC Interdisciplinary Statistics, Sep. 2018 - t-Distributions on Various Manifolds
Joint work
Dec. 2008
- Normal-wrapped Cauchy type cylindrical distribution
Toshihiro Abe
The 14th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2021), 19 Dec. 2021, [Invited] - Cauchy型分布のEMアルゴリズムについて
阿部俊弘
2021年度統計関連学会連合大会, 09 Sep. 2021 - 多変量歪正規分布における最尤推定のためのEMアルゴリズムとそのモメンタム構造
阿部俊弘
統計関連学会連合大会, 09 Sep. 2020 - EM algorithm using overparametrization for skew-normal distribution
Toshihiro Abe
Statistical Topological Data Analysis Workshop, 05 Jan. 2020 - A closed form EM algorithm for a multivariate skew-normal model
阿部俊弘
多様な分野における統計科学に関する諸問題, 15 Sep. 2019 - Recent cylindrical models and their applications
Toshihiro Abe
The 3rd International Conference on Econometrics and Statistics (EcoSta 2019), 25 Jun. 2019, [Invited] - WeiSSVM model and its applications to cylindrical data
Toshihiro Abe
The 11th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2018), 16 Dec. 2018, [Invited] - Models for cylindrical data and their applications
Toshihiro Abe
The 2nd International Conference on Econometrics and Statistics (EcoSta 2018), 21 Jun. 2018, [Invited] - 角度変換による円周分布族の拡張
阿部俊弘
統計関連学会連合大会, Sep. 2011 - 倒木の倒壊方位データのモデル化と解析
阿部 俊弘
統計関連学会連合大会, Sep. 2010 - Cosine perturbation of bimodal circular distributions
阿部俊弘
応用統計学会, May 2010 - Batscheletの分布を含む円周上の分布族
阿部俊弘
統計関連学会連合大会, Sep. 2008 - 投影図法による円周上の $t$ 分布の生成
阿部俊弘
The Mathematical Society of Japan, Mar. 2006
■ Research Themes
- Development of statistical methodology and its applications for directional data utilizing international joint research
Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
Apr. 2020 - Mar. 2024 - Statistical models for cylindrical data and their applications
Grant-in-Aid for Scientific Research (C)
Apr. 2019 - Mar. 2024 - Introduction of general causality to various observations and the innovation for its optimal statistical inference
Grant-in-Aid for Scientific Research (S)
Waseda University
Apr. 2018 - Mar. 2023 - Theory for quantile regression inference of time series and its applications
Grant-in-Aid for Scientific Research (A)
Waseda University
Apr. 2015 - Mar. 2019 - Theory and applications to the circular data
Grant-in-Aid for Young Scientists (B)
Nanzan University
Apr. 2015 - Mar. 2018 - Skew-symmetric distributions with natural skewness and their applications to financial engineering
Grant-in-Aid for Scientific Research (C)
The Institute of Statistical Mathematics
01 Apr. 2013 - 31 Mar. 2017 - Theory and application in Directional statistics
Grant-in-Aid for Young Scientists (B)
Tokyo University of Science
01 Apr. 2012 - 31 Mar. 2015