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2012 Fiscal Year Final Research Report

Construction of a New Algebraic Statistical Theory for StatisticalCausal Inference

Research Project

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Project/Area Number 22500251
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionChiba University

Principal Investigator

JINFANG Wang  千葉大学, 大学院・理学研究科, 教授 (10270414)

Project Period (FY) 2010 – 2012
Keywords情報学 / 統計科学
Research Abstract

Conditional independence is of fundamental importance in statistical sciences. All statistical models, such as time series models or Bayesian models, are based on certain assumptions on conditional independence. Statistical conditional independence also characterizes the causal relations of a set of random variables. The main purpose of this research is to study the conditional independence using an axiomatic approach. We constructed a new statistical algebraic system called cain for studying statistical causal inference. This system is based on the basic properties of probability density functions which are essential for arguing for conditional independence. We further established an algebraic algorithm for deriving a set of relations concerning some conditional independence from other set of such conditions.

  • Research Products

    (17 results)

All 2013 2012 2011 2010 Other

All Journal Article (7 results) (of which Peer Reviewed: 5 results) Presentation (7 results) Book (2 results) Remarks (1 results)

  • [Journal Article] 複数の 評価者による対応のあるクラスターデータの2012

    • Author(s)
      佐伯浩之, 丹後俊郎, 汪金芳
    • Journal Title

      A New Perspective to Statistical

      Volume: 1804 Pages: 30-39

  • [Journal Article] Structome of Saccharomyces cerevisiae determined by freeze-substitution and serial ultrathin sectioning electron microscopy2011

    • Author(s)
      Yamaguchi,M., Namiki,Y., Okada,H., Mori, Y., Furukawa,H., Wang, J., Ohkusu, M. and Kawamoto, S
    • Journal Title

      Journal of Electron Microscopy

      Volume: 60(5) Pages: 337-351

    • Peer Reviewed
  • [Journal Article] Subclassification matching method for average treatment effect and a numerical comparison of related methods2011

    • Author(s)
      Jing,P., Zhang,L., Tang,Y. and Wang, J
    • Journal Title

      Journal of the Japanese Society of Computational Statistics

      Volume: 24 Pages: 67-84

    • Peer Reviewed
  • [Journal Article] Bootstrap information criterion for linear mixed models2011

    • Author(s)
      Ping, Y. and Wang, J
    • Journal Title

      Proceedings of the 58th World Statistics Congress of the International Statistical Institute

      Pages: 6

    • Peer Reviewed
  • [Journal Article] A universal algebraic approach for conditional independence2010

    • Author(s)
      Wang, J
    • Journal Title

      Annals of the Institute of Statistical Mathematics

      Volume: 62 Pages: 747-773

    • Peer Reviewed
  • [Journal Article] Computation of conditional independence using cain polynomials2010

    • Author(s)
      Wang, J
    • Journal Title

      Far East Journal of Theoretical Statistics

      Volume: 34 Pages: 41-72

    • Peer Reviewed
  • [Journal Article] Rubin's Model forCausal Inference: a review2010

    • Author(s)
      Wang, J
    • Journal Title

      数理解析研究所講究録

      Pages: 138-150

  • [Presentation] 英国王立統計学会と日本統計学会との共同認定による「国際資格」について2013

    • Author(s)
      汪金芳
    • Organizer
      下関市立大学
    • Place of Presentation
      ワークショップ「効果的な統計及び数学教材の開発と利用」
    • Year and Date
      2013-01-12
  • [Presentation] A test for the difference in correlated proportions of clustered data based on multiple raters, IBC20122012

    • Author(s)
      Saeki, H., Tango, T. and Wang, J2012
    • Organizer
      Kobe International Conference Center
    • Place of Presentation
      Kobe, Japan
    • Year and Date
      20120826-31
  • [Presentation] Statistical Disclosure Control Using the epsilon-uncertainty intervals and the grouped likelihood method2012

    • Author(s)
      Wang, J
    • Organizer
      2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting (ims-APRM2012)
    • Place of Presentation
      Tsukuba International Congress Center, Tsukuba, Japan
    • Year and Date
      20120701-04
  • [Presentation] Computation of probabilistic conditional independence2012

    • Author(s)
      Wang, J
    • Organizer
      The 2012 Taipei International StatisticsWorkshop
    • Place of Presentation
      Taipei, Taiwan
    • Year and Date
      20120501-03
  • [Presentation] 複数の評価者による対応のあるクラスターデータの割合の差の検定2012

    • Author(s)
      佐伯浩之,丹後俊郎,汪金芳
    • Organizer
      京都大学数理解析研究所,短期共同研究
    • Place of Presentation
      A New Perspective to Statistical Models and Related Topics
    • Year and Date
      20120305-07
  • [Presentation] Bootstrap information criterion for linerar mixed models2011

    • Author(s)
      Ping, Y. and Wang, J
    • Organizer
      58th World Statistics Congress of the International Statistical Institute
    • Place of Presentation
      Dublin, Ireland
    • Year and Date
      2011-08-25
  • [Presentation] Statistical disclosure control using the epsilon-uncertainty intervals and the grouped likelihood method2010

    • Author(s)
      Wang, J
    • Organizer
      19th International Conference on Computational Statistics
    • Place of Presentation
      Paris, France
    • Year and Date
      20100822-27
  • [Book] 「ジャックナイフ法」,丸善2011

    • Author(s)
      汪金芳
    • Total Pages
      700,114-115
    • Publisher
      統計応用の百科事典
  • [Book] ブートストラップ入門2011

    • Author(s)
      汪金芳・桜井裕仁
    • Total Pages
      236
    • Publisher
      共立
  • [Remarks]

    • URL

      http://www.math.s.chiba-u.ac.jp/~wang/

URL: 

Published: 2014-08-29  

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