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2009 Fiscal Year Final Research Report

Statistical Models for Time Series of Circular Data

Research Project

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Project/Area Number 20740065
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

KATO Shogo  The Institute of Statistical Mathematics, 数理・推論研究系, 助教 (60468535)

Project Period (FY) 2008 – 2009
Keywords統計数学
Research Abstract

Data which can be expressed as sets of observations on the circle arise in a number of areas of applications such as meteorology and biology. On occasions, circular observations appear in a time series context. For instance, a series of wind directions measured hourly at a weather station can be considered an example of time series of circular data. Another example is a time series of directions of movements of migratory birds observed in biology. For the modeling of such data, we have proposed some statistical models and investigated their properties. Applications of the models have been given. It has been shown that the presented models provide better fits to some data than the well-known existing processes.

  • Research Products

    (21 results)

All 2010 2009 2008 Other

All Journal Article (9 results) (of which Peer Reviewed: 7 results) Presentation (11 results) Remarks (1 results)

  • [Journal Article] A family of distributions on the circle with links to, and applications arising from, Mobius transformation2010

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

      Journal of the American Statistical Association Vol.105

      Pages: 249-262

    • Peer Reviewed
  • [Journal Article] Entropy and divergence associated with power function and the statistical application2010

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

      Entropy Vol.12

      Pages: 262-274

    • Peer Reviewed
  • [Journal Article] A distribution for a pair of unit vectors generated by Brownian motion2009

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

      Bernoulli Vol.15

      Pages: 898-921

    • Peer Reviewed
  • [Journal Article] A Markov process for circular data2009

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

      Research Memorandum(統計数理研究所) Vol.1086

      Pages: 1-23

  • [Journal Article] Effects of intra-plant competition on the ensuing spatial branching patterns of Straits Rhododenron2009

    • Author(s)
      Faravani, M. 、Baki, B.B. 、Kato, S. 、Shimizu, K. 、Sim, C.H.
    • Journal Title

      Research Journal of Environmental Sciences Vol.3

      Pages: 427-438

    • Peer Reviewed
  • [Journal Article] A family of distributions on the circle with links to, and applications arising from, Mobius transformation2008

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

      Technical Report (Department of Mathematics and Statistics, The Open University) Vol.08/07

      Pages: 1-34

    • URL

      http://stats-www.open.ac.uk/TechnicalReports/KJJASA

  • [Journal Article] A circular-circular regression model2008

    • Author(s)
      Kato, S. 、Shimizu, K. 、Shieh, G.S.
    • Journal Title

      Statistica Sinica Vol.18

      Pages: 633-645

    • Peer Reviewed
  • [Journal Article] Dependent models for observations which include angular ones2008

    • Author(s)
      Kato, S. 、Shimizu, K.
    • Journal Title

      Journal of Statistical Planning and Inference Vol.138

      Pages: 3538-3549

    • Peer Reviewed
  • [Journal Article] The generalized t-distribution on the circle2008

    • Author(s)
      Siew, H. -Y. 、Kato, S. 、Shimizu, K.
    • Journal Title

      応用統計学 Vol.37

      Pages: 1-16

    • Peer Reviewed
  • [Presentation] A family of distributions on the circle with links to, and applications arising from, Mobius transformation2010

    • Author(s)
      Kato, S.
    • Organizer
      Two-Day Conference on Statistics and Probability
    • Place of Presentation
      Indian Statistical Institute、コルカタ、インド
    • Year and Date
      2010-01-22
  • [Presentation] A family of distributions on the circle with links to Mobius transformation2009

    • Author(s)
      加藤昇吾、Jones, M.C.
    • Organizer
      科研費研究集会「非対称分布の統計学」
    • Place of Presentation
      慶應義塾大学、横浜、日本
    • Year and Date
      2009-11-25
  • [Presentation] A Markov process for circular time series2009

    • Author(s)
      Kato, S.
    • Organizer
      Directional, Asymptotic, Differential-Geometric Statistics and Related Area
    • Place of Presentation
      大阪府立大学、堺、日本
    • Year and Date
      2009-11-06
  • [Presentation] The generalized t-distribution on the circle2009

    • Author(s)
      Siew, H. -Y. 、加藤昇吾
    • Organizer
      2009年度統計関連学会連合大会
    • Place of Presentation
      同志社大学、京田辺、日本
    • Year and Date
      2009-09-08
  • [Presentation] A family of distributions on the circle arising from Brownian motion2009

    • Author(s)
      Kato, S. 、Jones, M.C.
    • Organizer
      The 1st Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      Seoul National University、ソウル、韓国
    • Year and Date
      2009-06-29
  • [Presentation] A family of asymmetric distributions on the circle arising from Brownian motion2009

    • Author(s)
      加藤昇吾、Jones, M.C.
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学、東京、日本
    • Year and Date
      2009-03-27
  • [Presentation] A family of asymmetric distributions on the circle with links to Mobius transformation2009

    • Author(s)
      加藤昇吾
    • Organizer
      統計数理研究所平成20年度研究報告会
    • Place of Presentation
      統計数理研究所、東京、日本
    • Year and Date
      2009-03-18
  • [Presentation] An asymmetric extension of the wrapped Cauchy distribution2008

    • Author(s)
      Kato, S. 、Jones, M.C.
    • Organizer
      Workshop on Directional Statistics 2008
    • Place of Presentation
      統計数理研究所、東京、日本
    • Year and Date
      2008-12-22
  • [Presentation] A family of asymmetric distributions on the circle with links to Mobius transformation2008

    • Author(s)
      加藤昇吾
    • Organizer
      統計サマーセミナー2008
    • Place of Presentation
      奥河口湖足和田ホテル、富士河口湖町、日本
    • Year and Date
      2008-08-03
  • [Presentation] A family of asymmetric distributions on the circle with links to Mobius transformation2008

    • Author(s)
      Kato, S. 、Jones, M.C.
    • Organizer
      The Seventh World Congress in Probability and Statistics
    • Place of Presentation
      National University of Singapore、シンガポール
    • Year and Date
      2008-07-15
  • [Presentation] A Markov process for time series of circular data2008

    • Author(s)
      Kato, S.
    • Organizer
      2008 Joint Meeting of Indian Statistical Institute, the Institute of Statistical Mathematics, and Institute of Statistical Science, Academia Sinica
    • Place of Presentation
      Academia Sinica、台北、台湾
    • Year and Date
      2008-06-19
  • [Remarks]

    • URL

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

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Published: 2011-06-18   Modified: 2016-04-21  

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