Statistical methods for multivariate data which include angular observations

• Project/Area Number: 25400218
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: The 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: ¥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.

Research Products

• [Int'l Joint Research] The Open University(英国)
• [Int'l Joint Research] Universite Laval(カナダ)
• [Int'l Joint Research] Universidad de Extremadura/Universidad Politecnica de Madrid(スペイン)
• [Int'l Joint Research] The University of Chicago(米国)
• [Int'l Joint Research] The Open University(英国)
• [Int'l Joint Research] Universite Laval(カナダ)
• [Int'l Joint Research] University of Extremadura(スペイン)
• [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
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Parametric bootstrap goodness-of-fit testing for Wehrly-Johnson bivariate circular distributions (2016)
  • 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
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Conformal mapping for multivariate Cauchy families (2016)
  • Author(s): Kato, S. and McCullagh, P.
  • Journal Title: arXiv Volume: arXiv:1510.07679 Pages: 1-21
  • Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] A Mobius transformation-induced distribution on the torus (2015)
  • Author(s): Kato, S. and Pewsey, A
  • Journal Title: Biometrika Volume: 102 Issue: 2 Pages: 359-370
  • DOI: 10.1093/biomet/asv003
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] On a class of circulas: copulas for circular distributions (2015)
  • 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
  • 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 basis (2015)
  • 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
  • Peer Reviewed / Open Access
• [Journal Article] Robust estimation of location and concentration parameters for the von Mises-Fisher distribution (2015)
  • 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
  • Peer Reviewed
• [Journal Article] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2015)
  • Author(s): Kato, S. and Jones, M.C.
  • Journal Title: Biometrika Volume: 102 Issue: 1 Pages: 181-190
  • DOI: 10.1093/biomet/asu059
  • Peer Reviewed
• [Journal Article] A characterization of a Cauchy family on the complex space (2014)
  • Author(s): Kato, S. and McCullagh, P.
  • Journal Title: arXiv Volume: arXiv:1402.1905 Pages: 1-5
• [Journal Article] Segregation of a QTL cluster for home-cage activity using a new mapping method based on regression analysis of congenic mouse strains (2014)
  • Author(s): Kato, S., Ishii, A., Nishi, A., Kuriki, S. and Koide, T.
  • Journal Title: Heredity Volume: 印刷中
  • Peer Reviewed
• [Journal Article] On a class of circulas (2013)
  • 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
• [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
• [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension (2017)
  • 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
  • Int'l Joint Research / Invited
• [Presentation] Some properties of a family of distributions on the sphere related to the Moebius transformation (2017)
  • 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
  • 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
  • Invited
• [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2016)
  • 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
• [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2016)
  • 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
  • Int'l Joint Research
• [Presentation] A family of distributions for bivariate circular data (2016)
  • 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
  • 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
  • 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
  • Invited
• [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2015)
  • 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
  • Int'l Joint Research / Invited
• [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension (2015)
  • Author(s): Kato, S.
  • Organizer: Statistics Seminar
  • Place of Presentation: The Open University, Milton Keynes, UK
  • Year and Date: 2015-09-16
  • 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
  • Invited
• [Presentation] A family of copulas for circular data and its extension (2015)
  • 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
  • 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
• [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
  • Invited
• [Presentation] Some properties of a family of distributions on the sphere related to the Mobius transformation (2014)
  • 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
  • Invited
• [Presentation] The wrapped Cauchy distribution on the circle and its bivariate extension (2014)
  • 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
  • Invited
• [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2014)
  • 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
  • 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
• [Presentation] A tractable and interpretable four-parameter family of unimodal distributions on the circle (2014)
  • 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
  • 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
• [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
• [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
• [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
• [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
  • Invited
• [Remarks] 加藤昇吾 Personal HP
  • URL: http://www.ism.ac.jp/~skato/
• [Remarks] researchmap（加藤昇吾、日本語）
  • URL: http://researchmap.jp/read0138993/?lang=japanese
• [Remarks] researchmap（加藤昇吾、英語）
  • URL: http://researchmap.jp/read0138993/?lang=english
• [Remarks] researchmap （加藤昇吾、日本語）
  • URL: http://researchmap.jp/read0138993/?lang=japanese
• [Remarks] researchmap （加藤昇吾、英語）
  • URL: http://researchmap.jp/read0138993/?lang=english
• [Remarks] 加藤昇吾 Official HP
  • URL: http://www.ism.ac.jp/souran/kenkyusya/kato_shogo.html
• [Remarks] 加藤昇吾 Personal HP
  • URL: http://www.ism.ac.jp/~skato/