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Theory and applications to the circular data

Research Project

Project/Area Number 15K17593
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionNanzan 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
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords分布論 / 角度データ / 森林データ解析 / 円柱分布 / circular Markov過程 / 方向統計学 / 周期マルコフ過程 / 周期定常マルコフ過程 / シリンダー分布 / 時系列解析 / マルコフモデル / シリンダー上の分布 / 国際情報交換
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.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (30 results)

All 2017 2016 2015 Other

All Int'l Joint Research (6 results) Journal Article (6 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 6 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (18 results) (of which Int'l Joint Research: 10 results,  Invited: 15 results)

  • [Int'l Joint Research] Ghent university(Belgium)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Helsinki(Finland)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] University of Helsinki(Finland)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Ghent University(Belgium)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Ghent University(Belgium)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Helsinki(Finland)

    • Related Report
      2015 Research-status Report
  • [Journal Article] A tractable, parsimonious and flexible model for cylindrical data, with applications2017

    • Author(s)
      Abe, T. & Ley, C.
    • Journal Title

      Econometrics and Statistics

      Volume: 4 Pages: 91-104

    • DOI

      10.1016/j.ecosta.2016.04.001

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Circular autocorrelation of stationary circular Markov processes2017

    • Author(s)
      Abe, T., Ogata, H., Shiohama, T., and Taniai, H.
    • Journal Title

      Stochastic Process and Statistical Inference

      Volume: 印刷中 Issue: 3 Pages: 275-290

    • DOI

      10.1007/s11203-016-9154-0

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Crown asymmetry in high latitude forests: disentangling the directional effects of tree competition and solar radiation2016

    • Author(s)
      Aakala, T., Shimatani, K., Abe, T., Kubota, Y. & Kuuluvainen, T.
    • Journal Title

      Oikos

      Volume: 125 Issue: 7 Pages: 1035-1043

    • DOI

      10.1111/oik.02858

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] The sinh-arcsinhed logistic family of distributions: properties and inference.2015

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

      Annals of the Institute of Statistical Mathematics

      Volume: 67 Issue: 3 Pages: 573-594

    • DOI

      10.1007/s10463-014-0465-x

    • NAID

      40020457844

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [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
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Discussion : "On families of distributions with shape parameters"2015

    • Author(s)
      Toshihiro Abe
    • Journal Title

      International Statistical Review

      Volume: 83 Issue: 2 Pages: 193-197

    • DOI

      10.1111/insr.12076

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Presentation] Symmetric circular distributions and their sine-skewed extensions2017

    • Author(s)
      Toshihiro Abe
    • Organizer
      Statistical Analysis for High-Dimensional, Circular or Time Series Data
    • Place of Presentation
      Keio University
    • Year and Date
      2017-03-02
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] A flexible cylindrical model as a combination of the Weibull and SSVM distributions for cylindrical data2017

    • Author(s)
      Toshihiro Abe
    • Organizer
      Advances in Directional Statistics (ADISTA17)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotically optimal inference for two modal concentration of antipodally symmetric circular distribution2017

    • Author(s)
      Toshihiro Abe, Hiroaki Ogata, Takayuki Shiohama & Hiroyuki Taniai
    • Organizer
      The 1st International Conference on Econometrics and Statistics (EcoSta 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bayesian estimation for the inverse Batschelet distributions on the circle2017

    • Author(s)
      Takayuki Shiohama, Toshihiro Abe & Yoichi Miyata
    • Organizer
      The 1st International Conference on Econometrics and Statistics (EcoSta 2017)
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a mode preserving circular distribution and its Bayesian inference2017

    • Author(s)
      塩濱 敬之, 阿部俊弘, 宮田 庸一
    • Organizer
      2017年度統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] シリンダー上のPareto型分布2017

    • Author(s)
      清水 邦夫, 井本 智明, 阿部俊弘
    • Organizer
      2017年度統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] On transformation of scale distributions on the circle with mode and antimode preserving property2017

    • Author(s)
      Toshihiro Abe, Yoichi Miyata & Takayuki Shiohama
    • Organizer
      10th International Conference of the ERCIM Working Group on Computational and Methodological Statistics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Pareto type probability distribution for cylindrical data2017

    • Author(s)
      Tomoaki Imoto, Kunio Shimizu & Toshihiro Abe
    • Organizer
      10th International Conference of the ERCIM Working Group on Computational and Methodological Statistics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bayesian inference for mode preserving distributions on the circle2017

    • Author(s)
      Toshihiro Abe, Yoichi Miyata & Takayuki Shiohama
    • Organizer
      10th International Conference of the ERCIM Working Group on Computational and Methodological Statistics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On estimating finite mixtures of sine-skewed von Mises distributions2017

    • Author(s)
      Toshihiro Abe, Yoichi Miyata & Takayuki Shiohama
    • Organizer
      10th International Conference of the ERCIM Working Group on Computational and Methodological Statistics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 方向統計学における統計的分布とその推測2017

    • Author(s)
      阿部俊弘
    • Organizer
      OR中部支部 講演会
    • Place of Presentation
      南山大学
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] A simple cylindrical model as a combination of the Weibull and sine-skewed von Mises distributions2016

    • Author(s)
      Toshihiro Abe
    • Organizer
      9th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2016)
    • Place of Presentation
      University of Seville
    • Year and Date
      2016-12-09
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Weibull分布とsine-skewed von Mises分布を用いたシリンダー上の分布の生成2016

    • Author(s)
      阿部俊弘
    • Organizer
      複雑な生命現象を読み解くための大規模データ解析とモデリング
    • Place of Presentation
      久留米シティプラザ
    • Year and Date
      2016-11-07
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Length dependent models for cylindrical data through sine skewed wrapped Cauchy distribution2015

    • Author(s)
      Toshihiro Abe
    • Organizer
      8th International Conference of the ERCIM WG on Computational and Methodological Statistics (CMStatistics 2015)
    • Place of Presentation
      University of London, UK
    • Year and Date
      2015-12-12
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] シリンダー上のデータのための統計的モデリング2015

    • Author(s)
      阿部俊弘
    • Organizer
      南山学会理工学系列研究例会
    • Place of Presentation
      南山大学
    • Year and Date
      2015-11-25
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A cylindrical model for wind direction and velocity2015

    • Author(s)
      Toshihiro Abe
    • Organizer
      Adolphe Quetelet Seminar Series
    • Place of Presentation
      Ghent University, Belgium
    • Year and Date
      2015-11-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] シリンダー上の確率分布とその周辺2015

    • Author(s)
      阿部俊弘
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] ベータ型の分布を用いたシリンダー分布2015

    • Author(s)
      阿部俊弘
    • Organizer
      2015年度統計関連学会連合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-09-06
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2019-03-29  

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