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Statistical methods for multivariate data which include angular observations

Research Project

Project/Area Number 25400218
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

Kato Shogo  統計数理研究所, 数理・推論研究系, 准教授 (60468535)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords統計数学 / 方向統計学 / 多変量解析 / 混合効果モデル / ベイジアンネットワーク / トーラス上の分布 / 角度のデータ / 国際研究者交流 / アメリカ:イギリス:スペイン
Outline of Final Research Achievements

In various academic fields, it is often required to handle measurements which can be expressed as angles. Examples of such measurements include wind directions in meteorology and torsional angles in molecular biology. In practice, it is common that angular measurements are recorded with other linear and/or circular measurements. In our study, we have studied statistical methods for multivariate data which include angular observations. Specifically, we have proposed the following three models, among others, and obtained their statistical properties: families of distributions on the general-dimensional torus, a random effect model for circular data, and a Bayesian network model for linear-circular data.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (50 results)

All 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (7 results) Journal Article (11 results) (of which Int'l Joint Research: 4 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 4 results,  Open Access: 1 results) Presentation (25 results) (of which Int'l Joint Research: 7 results,  Invited: 14 results) Remarks (7 results)

  • [Int'l Joint Research] The Open University(英国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Universite Laval(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Universidad de Extremadura/Universidad Politecnica de Madrid(スペイン)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] The University of Chicago(米国)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] The Open University(英国)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] Universite Laval(カナダ)

    • Related Report
      2015 Research-status Report
  • [Int'l Joint Research] University of Extremadura(スペイン)

    • Related Report
      2015 Research-status Report
  • [Journal Article] 円周上のコーシー分布と関連した統計モデル2016

    • Author(s)
      加藤 昇吾
    • Journal Title

      日本統計学会誌

      Volume: 46(1) Pages: 85-111

    • NAID

      130006026483

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Parametric bootstrap goodness-of-fit testing for Wehrly-Johnson bivariate circular distributions2016

    • Author(s)
      Pewsey, A. and Kato, S.
    • Journal Title

      Statistics and Computing

      Volume: 26(6) Issue: 6 Pages: 1307-1317

    • DOI

      10.1007/s11222-015-9605-2

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Conformal mapping for multivariate Cauchy families2016

    • Author(s)
      Kato, S. and McCullagh, P.
    • Journal Title

      arXiv

      Volume: arXiv:1510.07679 Pages: 1-21

    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A Mobius transformation-induced distribution on the torus2015

    • Author(s)
      Kato, S. and Pewsey, A
    • Journal Title

      Biometrika

      Volume: 102 Issue: 2 Pages: 359-370

    • DOI

      10.1093/biomet/asv003

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] On a class of circulas: copulas for circular distributions2015

    • Author(s)
      Jones, M.C., Pewsey, A. and Kato, S.
    • Journal Title

      Annals of the Institute of Statistical Mathematics

      Volume: 67 Issue: 5 Pages: 843-862

    • DOI

      10.1007/s10463-014-0493-6

    • NAID

      40020592245

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mapping of genetic factors that elicit intermale aggressive behavior on Mouse Chromosome 15: intruder effects and the complex genetic basis2015

    • Author(s)
      Takahashi, A., Sugimoto, H., Kato, S., Shiroishi, T. and Koide, T.
    • Journal Title

      PLOS ONE

      Volume: 10(9): e0137764 Issue: 9 Pages: 1-20

    • DOI

      10.1371/journal.pone.0137764

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Robust estimation of location and concentration parameters for the von Mises-Fisher distribution2015

    • Author(s)
      S. Kato, S. Eguchi
    • Journal Title

      Statistical Papers

      Volume: In press Issue: 1 Pages: 205-234

    • DOI

      10.1007/s00362-014-0648-9

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] A tractable and interpretable four-parameter family of unimodal distributions on the circle2015

    • Author(s)
      Kato, S. and Jones, M.C.
    • Journal Title

      Biometrika

      Volume: 102 Issue: 1 Pages: 181-190

    • DOI

      10.1093/biomet/asu059

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Journal Article] A characterization of a Cauchy family on the complex space2014

    • Author(s)
      Kato, S. and McCullagh, P.
    • Journal Title

      arXiv

      Volume: arXiv:1402.1905 Pages: 1-5

    • Related Report
      2013 Research-status Report
  • [Journal Article] Segregation of a QTL cluster for home-cage activity using a new mapping method based on regression analysis of congenic mouse strains2014

    • Author(s)
      Kato, S., Ishii, A., Nishi, A., Kuriki, S. and Koide, T.
    • Journal Title

      Heredity

      Volume: 印刷中

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] On a class of circulas2013

    • Author(s)
      Jones, M.C., Pewsey, A. and Kato, S.
    • Journal Title

      Technical Report, The Open University, Department of Mathematics and Statistics

      Volume: 13/06 Pages: 1-23

    • Related Report
      2013 Research-status Report
  • [Presentation] 角度データのためのコピュラ2017

    • Author(s)
      加藤 昇吾
    • Organizer
      統計数理セミナー
    • Place of Presentation
      統計数理研究所、立川、日本
    • Year and Date
      2017-03-08
    • Related Report
      2016 Annual Research Report
  • [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension2017

    • Author(s)
      Kato, S.
    • Organizer
      Keio International Symposium "Statistical Analysis for High-Dimensional, Circular or Time Series Data"
    • Place of Presentation
      Keio University, Yokohama, Japan
    • Year and Date
      2017-03-03
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Some properties of a family of distributions on the sphere related to the Moebius transformation2017

    • Author(s)
      Kato, S.
    • Organizer
      ISI-ISM-ISSAS Joint Meeting 2017
    • Place of Presentation
      Indian Statistical Institute, Delhi, India
    • Year and Date
      2017-02-20
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 角度データのための統計モデル2017

    • Author(s)
      加藤 昇吾
    • Organizer
      科研費基盤研究(A)「大規模複雑データの理論と方法論の総合 的研究」(課題番号:15H01678, 研究代表者:青嶋誠)による シンポジウム 「統計科学の現代的課題」
    • Place of Presentation
      金沢大学、金沢、日本
    • Year and Date
      2017-01-27
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle2016

    • Author(s)
      加藤 昇吾、Jones, M.C.
    • Organizer
      2016年度 統計関連学会連合大会
    • Place of Presentation
      金沢大学、金沢、日本
    • Year and Date
      2016-09-05
    • Related Report
      2016 Annual Research Report
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle2016

    • Author(s)
      Kato, S. and Jones, M.C.
    • Organizer
      ISI-ISM-ISSAS Joint Conference 2016
    • Place of Presentation
      Academia Sinica, Taipei, Taiwan
    • Year and Date
      2016-02-02
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] A family of distributions for bivariate circular data2016

    • Author(s)
      Kato, S.
    • Organizer
      ISM Symposium on Environmental Statistics 2016
    • Place of Presentation
      The Institute of Statistical Mathematics, Tokyo, Japan
    • Year and Date
      2016-01-15
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 角度データの統計解析法2015

    • Author(s)
      加藤 昇吾
    • Organizer
      データサイエンス特別講義
    • Place of Presentation
      慶應義塾大学、横浜、日本
    • Year and Date
      2015-12-16
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] 角度データのための統計的手法2015

    • Author(s)
      加藤 昇吾
    • Organizer
      データ科学特論special lecture
    • Place of Presentation
      大阪大学、大阪、日本
    • Year and Date
      2015-11-27
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle2015

    • Author(s)
      Kato, S.
    • Organizer
      Waseda International Symposium "High Dimensional Statistical Analysis for Spatio-Temporal Processes & Quantile Analysis for Time Series"
    • Place of Presentation
      Waseda University, Tokyo, Japan
    • Year and Date
      2015-11-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension2015

    • Author(s)
      Kato, S.
    • Organizer
      Statistics Seminar
    • Place of Presentation
      The Open University, Milton Keynes, UK
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 円周上のコーシー分布と関連した統計モデル2015

    • Author(s)
      加藤 昇吾
    • Organizer
      2015年度 統計関連学会連合大会 企画セッション:日本統計学会各賞受賞者記念講演
    • Place of Presentation
      岡山大学、岡山、日本
    • Year and Date
      2015-09-08
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A family of copulas for circular data and its extension2015

    • Author(s)
      Kato, S.
    • Organizer
      International Symposium on Dependence and Copulas 2015
    • Place of Presentation
      The Institute of Statistical Mathematics, Tokyo, Japan
    • Year and Date
      2015-06-23
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 多変量コーシー分布と等角写像2015

    • Author(s)
      加藤 昇吾
    • Organizer
      統計数理セミナー
    • Place of Presentation
      統計数理研究所、立川、日本
    • Year and Date
      2015-04-08
    • Related Report
      2015 Research-status Report
  • [Presentation] 角度データのための回帰モデル2015

    • Author(s)
      加藤 昇吾
    • Organizer
      統計数理研究所 共同利用研究集会 「生物に見られる時空間パターンと統計数理:同調・認知・行動」
    • Place of Presentation
      統計数理研究所、立川、日本
    • Year and Date
      2015-01-05
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Some properties of a family of distributions on the sphere related to the Mobius transformation2014

    • Author(s)
      Kato, S. and McCullagh, P.
    • Organizer
      The 7th International Conference of the ERCIM WG on Computational and Methodological Statistics (ERCIM 2014)
    • Place of Presentation
      Palazzo dei Congressi di Pisa, Pisa, Italy
    • Year and Date
      2014-12-07
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension2014

    • Author(s)
      加藤 昇吾
    • Organizer
      応用統計ワークショッ プ
    • Place of Presentation
      東京大学、東京、日本
    • Year and Date
      2014-10-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle2014

    • Author(s)
      Kato, S.
    • Organizer
      Seminar at the University of Valladolid
    • Place of Presentation
      University of Valladolid, Valladolid, Spain
    • Year and Date
      2014-09-19
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 複素空間上のコーシー分布2014

    • Author(s)
      加藤 昇吾
    • Organizer
      統計数理セミナー
    • Place of Presentation
      統計数理研究所、立川、日本
    • Year and Date
      2014-06-04
    • Related Report
      2014 Research-status Report
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle2014

    • Author(s)
      Kato, S. and Jones, M.C.
    • Organizer
      Advances in Directional Statistics International Workshop (ADISTA14)
    • Place of Presentation
      The Atomium, Brussels, Belgium
    • Year and Date
      2014-05-21
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 回帰分析を用いたマウス活動量データの遺伝解析

    • Author(s)
      加藤 昇吾
    • Organizer
      統計数理セミナー
    • Place of Presentation
      統計数理研究所、立川、日本
    • Related Report
      2013 Research-status Report
  • [Presentation] 回帰分析を用いたマウス活動量データの遺伝解析

    • Author(s)
      加藤 昇吾
    • Organizer
      新領域融合センタープロジェクト「生命 システム融合研究」プロジェクト会議
    • Place of Presentation
      国立情報学研究所、東京、日本
    • Related Report
      2013 Research-status Report
  • [Presentation] A family of circular distributions related to wrapped Cauchy distributions via Brownian motion

    • Author(s)
      Kato, S. and Jones, M.C.
    • Organizer
      2013 Joint Statistical Meetings
    • Place of Presentation
      Palais de congres de Montreal, Montreal, Canada
    • Related Report
      2013 Research-status Report
  • [Presentation] A Mobius transformation-induced distribution on the torus

    • Author(s)
      Kato, S. and Pewsey, A.
    • Organizer
      Advances and Applications in Distribution Theory
    • Place of Presentation
      The Institute of Statistical Mathematics, Tokyo, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle

    • Author(s)
      Kato, S. and Jones, M.C.
    • Organizer
      Advances in Directional Statistics
    • Place of Presentation
      Free University, Brussels, Belgium
    • Related Report
      2013 Research-status Report
    • Invited
  • [Remarks] 加藤昇吾 Personal HP

    • URL

      http://www.ism.ac.jp/~skato/

    • Related Report
      2016 Annual Research Report 2015 Research-status Report 2014 Research-status Report
  • [Remarks] researchmap(加藤昇吾、日本語)

    • URL

      http://researchmap.jp/read0138993/?lang=japanese

    • Related Report
      2016 Annual Research Report
  • [Remarks] researchmap(加藤昇吾、英語)

    • URL

      http://researchmap.jp/read0138993/?lang=english

    • Related Report
      2016 Annual Research Report
  • [Remarks] researchmap (加藤昇吾、日本語)

    • URL

      http://researchmap.jp/read0138993/?lang=japanese

    • Related Report
      2015 Research-status Report
  • [Remarks] researchmap (加藤昇吾、英語)

    • URL

      http://researchmap.jp/read0138993/?lang=english

    • Related Report
      2015 Research-status Report
  • [Remarks] 加藤昇吾 Official HP

    • URL

      http://www.ism.ac.jp/souran/kenkyusya/kato_shogo.html

    • Related Report
      2013 Research-status Report
  • [Remarks] 加藤昇吾 Personal HP

    • URL

      http://www.ism.ac.jp/~skato/

    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2022-02-16  

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