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Theory and application in Directional statistics

Research Project

Project/Area Number 24740077
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionTokyo University of Science

Principal Investigator

ABE Toshihiro  東京理科大学, 工学部, 助教 (70580570)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords方向統計学 / 分布論 / 森林生態学 / 国際研究者交流 / 角度データ / 非対称分布族 / 国際研究者交流(ベルギー) / 国際研究者交流(フィンランド) / 国際研究者交流(スペイン) / 国際情報交換(スペイン) / 国際情報交換(フィンランド)
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 fallen tree directions and the directions of wind. Such a study is called Directional Statistics.
For a statistical modeling of the directional data, we have developed some statistical models for circular data and investigated their properties. In addition, we have given an index for the prosperity of the forest focusing on the fallen trees directions.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (38 results)

All 2015 2014 2013 2012 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (33 results) (of which Invited: 15 results) Remarks (1 results)

  • [Journal Article] A family of skew distributions with mode-invariance through transformation of scale2015

    • Author(s)
      Fujisawa and Abe
    • Journal Title

      Statistical Methodology

      Volume: 25 Pages: 89-98

    • DOI

      10.1016/j.stamet.2015.02.003

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Extending circular distributions through transformation of argument2013

    • Author(s)
      Toshihiro Abe, Arthur Pewsey and Kunio Shimizu
    • Journal Title

      Annals of the Institute of Statistical Mathematics

      Volume: 65 Issue: 5 Pages: 833-858

    • DOI

      10.1007/s10463-012-0394-5

    • NAID

      40019817768

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Circular distributions of fallen logs as an indicator of forest disturbance regimes2012

    • Author(s)
      Toshihiro Abe, Yasuhiro Kubota, Kenichiro Shimatani, Tuomas Aakala and Timo Kuuluvainen
    • Journal Title

      Ecological Indicators

      Volume: 18 Pages: 559-566

    • DOI

      10.1016/j.ecolind.2012.01.010

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Sine-skewed axial distributions with an application for fallen tree data2012

    • Author(s)
      Toshihiro Abe, Kunio Shimizu, Timo Kuuluvainen and Tuomas Aakala
    • Journal Title

      Environmental and Ecological Statistics

      Volume: 19 Issue: 3 Pages: 295-307

    • DOI

      10.1007/s10651-012-0187-2

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] モード不変性を持つ逆Batschelet分布2015

    • Author(s)
      阿部俊弘
    • Organizer
      応用統計学会
    • Place of Presentation
      京都大学医学部・芝蘭会館稲盛ホール
    • Year and Date
      2015-03-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] A tractable, parsimonious and highly flexible model for cylindrical data2015

    • Author(s)
      Toshihiro Abe
    • Organizer
      ISM Symposium on Environmental Statistics 2015
    • Place of Presentation
      The Institute of Statistical Mathematics, Tokyo, Japan
    • Year and Date
      2015-02-24
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Symmetric circular models generated by stereographic projection2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      Mathematische Kolloquien 2014
    • Place of Presentation
      University of Rostock, Rostock, Germany
    • Year and Date
      2014-12-11
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Linear-circular models and their properties2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      7th International Conference of the ERCIM WG on Computational and Methodological Statistics (ERCIM 2014)
    • Place of Presentation
      University of Pisa, Pisa, Italy
    • Year and Date
      2014-12-06 – 2014-12-08
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 長さと角度を変量に持つ分布族2014

    • Author(s)
      阿部俊弘
    • Organizer
      多様な分野における統計科学の教育・理論・応用の新展開
    • Place of Presentation
      新潟大学
    • Year and Date
      2014-10-24 – 2014-10-26
    • Related Report
      2014 Annual Research Report
  • [Presentation] 既知の方向周りでの対蹠対称性に関する漸近最適推測論2014

    • Author(s)
      阿部俊弘, 小方浩明, 塩濱敬之, 谷合弘行
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京大学
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Annual Research Report
  • [Presentation] 最頻値の位置を変えない非対称分布族の生成2014

    • Author(s)
      阿部俊弘
    • Organizer
      不偏性をはずした時系列推定と因果性の観光統計学への応用
    • Place of Presentation
      奈良教育大学
    • Year and Date
      2014-09-01 – 2014-09-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] 円柱上の確率分布とその森林樹木の樹冠形状データへの応用2014

    • Author(s)
      阿部俊弘, 島谷健一郎
    • Organizer
      方向データの統計モデリングと応用事例
    • Place of Presentation
      東京理科大学
    • Year and Date
      2014-08-25 – 2014-08-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 軸対称確率分布について2014

    • Author(s)
      阿部俊弘
    • Organizer
      方向データの統計モデリングと応用事例
    • Place of Presentation
      東京理科大学
    • Year and Date
      2014-08-25 – 2014-08-26
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] A multivariate extension of the skew-unimodal distributions with mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      2014 Joint Statistical Meetings (JSM 2014)
    • Place of Presentation
      Boston Convention and Exhibition Center, Boston, MA 02210, America
    • Year and Date
      2014-08-02 – 2014-08-07
    • Related Report
      2014 Annual Research Report
  • [Presentation] Skew-symmetric circular distributions generated by sine perturbation2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      Institute of Mathematical Statistics Asia Pacific Rim Meeting (IMS-APRM 2014)
    • Place of Presentation
      Howard International House, Taipei, Taiwan
    • Year and Date
      2014-06-30 – 2014-07-03
    • Related Report
      2014 Annual Research Report
  • [Presentation] Univariate skew-unimodal distributions with mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      3rd Stochastic Modeling Techniques and Data Analysis International Conference (SMTDA2014)
    • Place of Presentation
      Hotel-Zurique-Vip-Executive, Lisbon, Portugal
    • Year and Date
      2014-06-11 – 2014-06-14
    • Related Report
      2014 Annual Research Report
  • [Presentation] Skewed circular distributions with unimodality and mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      Advances in Directional Statistics
    • Place of Presentation
      Universite Libre de Bruxelles, Brussels, Belgium
    • Year and Date
      2014-05-20 – 2014-05-22
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] Skew-symmetric distributions on the circle with unimodality and mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      Advances and Applications in Distribution Theory
    • Place of Presentation
      The Institute of Statistical Mathematics, Tokyo, Japan
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Skewed circular distributions with unimodality and mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      Advances in Directional Statistics
    • Place of Presentation
      Brussels' Free University, Belgium
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Univariate skew-unimodal distributions with mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      3rd SMTDA 2014
    • Place of Presentation
      Lisbon Portugal
    • Related Report
      2013 Research-status Report
  • [Presentation] Skew-symmetric circular distributions generated by sine perturbation2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      IMS-APRM 2014
    • Place of Presentation
      Taipei, Taiwan
    • Related Report
      2013 Research-status Report
  • [Presentation] A multivariate extension of the skew-unimodal distributions with mode-preserving property2014

    • Author(s)
      Toshihiro Abe
    • Organizer
      2014 Joint Statistical Meetings
    • Place of Presentation
      Boston Convention and Exhibition Center, Boston
    • Related Report
      2013 Research-status Report
  • [Presentation] Skew circular models through sine perturbation2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      Seminar on Time Series and Financial Engineering
    • Place of Presentation
      Tokyo, Japan
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] A family of unimodal skew-symmetric distributions on the circle2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      15th IMS New Researchers Conference
    • Place of Presentation
      Centre de recherches mathematiques, Montreal, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] A new family of unimodal skew-symmetric distributions with mode-invariance2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      2013 Joint Statistical Meetings
    • Place of Presentation
      Palais des congres de Montreal, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] モード不変性をもつ円周上の非対称分布族2013

    • Author(s)
      阿部俊弘
    • Organizer
      2013年度統計関連学会連合大会
    • Place of Presentation
      大阪大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Skew distributions with unimodality and mode-preserving property2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      seminar at the Universite Libre de Bruxelles
    • Place of Presentation
      Universite Libre de Bruxelles
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Symmetric circular distributions and their sine perturbations2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      Workshop on Stein's method and related topics
    • Place of Presentation
      Vandoeuvre-les-Nancy, France
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Circular and axial distributions with an application for fallen tree data2013

    • Author(s)
      Toshihiro Abe
    • Organizer
      ISM Symposium on Environmental Statistics 2013
    • Place of Presentation
      The Institute of Statistical Mathematics, Japan
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] A Family of Skew-unimodal Distributions with Mode Invariance2013

    • Author(s)
      Fujisawa and Toshihiro Abe
    • Organizer
      ISI-ISM-ISSAS Joint Conference, 2013
    • Place of Presentation
      Institute of Statistical Science Academia Sinica, Academia Sinica
    • Related Report
      2012 Research-status Report
  • [Presentation] NMRにおけるデータ抽出のためのデータ分類手法の一提案2013

    • Author(s)
      田谷悠, 阿部俊弘, 河合剛太, 古川利博, 久保田一
    • Organizer
      信号処理研究会 (SIP)
    • Place of Presentation
      ビューポートくれ(呉)
    • Related Report
      2012 Research-status Report
  • [Presentation] モード不変性をもつ歪単峰分布2013

    • Author(s)
      藤澤洋徳, 阿部俊弘
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学吉田キャンパス吉田南構内, 京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Bimodal circular distributions by cosine perturbation2012

    • Author(s)
      Toshihiro Abe
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      Tsukuba, Japan
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On a generalization of flat-topped and sharply peaked distribution2012

    • Author(s)
      Toshihiro Abe
    • Organizer
      Workshop on Directional Statistics
    • Place of Presentation
      Satellite Office of the Institute of Statistical Mathematics, Japan
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] On generalization of Batschelet distributions2012

    • Author(s)
      Toshihiro Abe
    • Organizer
      20th International Conference on Computational Statistics
    • Place of Presentation
      Amathus Beach Hotel, Limassol, Cyprus
    • Related Report
      2012 Research-status Report
  • [Presentation] 単峰性とモード不変性をもつ歪対称分布族2012

    • Author(s)
      藤澤洋徳, 阿部俊弘
    • Organizer
      2012年度統計関連学会連合大会, 企画セッション「非対称分布の統計学の理論と実際」
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Research-status Report
    • Invited
  • [Presentation] An asymmetric family of unimodal distributions with mode-invariance2012

    • Author(s)
      Toshihiro Abe and Hironori Fujisawa
    • Organizer
      5th International Conference of the ERCIM Working Group on COMPUTING & STATISTICS
    • Place of Presentation
      Conference Centre, Oviedo, Spain
    • Related Report
      2012 Research-status Report
  • [Remarks] 阿部俊弘 教員プロフィール

    • URL

      http://www.tus.ac.jp/fac_grad/p/index.php?3e53

    • Related Report
      2012 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

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