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Discriminant analysis of multivariate survival data based on copulas

Research Project

Project/Area Number 25330031
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionHokkaido University

Principal Investigator

Suzukawa Akio  北海道大学, 公共政策学連携研究部, 教授 (00277287)

Project Period (FY) 2013-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords生存時間データ / 判別分析 / コピュラ / 打切りデータ / 生存時間 / フレイルティモデル / 打切り / 生存時間分布
Outline of Final Research Achievements

Multivariate survival time distribution was modeled using copula (a function that connects multidimensional probability distribution and its marginal distributions). Based on this model, we developed a discriminant analysis method of multivariate survival time data.In particular, focusing on the application range to medical data, we developed discriminant analysis methods applicable to actual multivariate survival time data in medical research In data analysis of multivariate survival time, censoring of data and non-multivariate normality are important problems. We proposed a parametric model for censoring patterns. Based on copula modeling of multivariate survival distributions, we developed flexible discriminant analysis methods.

Report

(6 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (22 results)

All 2018 2016 2015 2014 Other

All Journal Article (2 results) (of which Open Access: 1 results) Presentation (20 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results)

  • [Journal Article] Product of inverse Wishart and normal distributions2018

    • Author(s)
      Koshiro Yonenaga and Akio Suzukawa
    • Journal Title

      Proceedings of Korea and Hokkaido University 5th Workshop in Statistics

      Volume: 1 Pages: 5-10

    • Related Report
      2017 Annual Research Report
  • [Journal Article] SUPPORT VECTOR MACHINE BASED ON DATA DEPTH2015

    • Author(s)
      Zhaojun Jian and Akio Suzukawa
    • Journal Title

      Economic Journal of Hokkaido University, Discussion Paper Series A

      Volume: 282 Pages: 1-15

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Presentation] 2変量アルキメデスコピュラに基づく判別分析2016

    • Author(s)
      安田佑喜,鈴川晶夫
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学,石川県金沢市
    • Year and Date
      2016-09-04
    • Related Report
      2016 Research-status Report
  • [Presentation] 一般化共有フレイルティモデル2016

    • Author(s)
      鈴川晶夫
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学,石川県金沢市
    • Year and Date
      2016-09-04
    • Related Report
      2016 Research-status Report
  • [Presentation] クラスターサポートベクトルマシンの性質2016

    • Author(s)
      方宏強,鈴川晶夫
    • Organizer
      2016年度統計関連学会連合大会
    • Place of Presentation
      金沢大学,石川県金沢市
    • Year and Date
      2016-09-04
    • Related Report
      2016 Research-status Report
  • [Presentation] Semiparametric models for lifetime distribution2016

    • Author(s)
      Akio Suzukawa
    • Organizer
      Hokkaido University and Korea University 4th Workshop in Statistics
    • Place of Presentation
      Korea University,ソウル(韓国)
    • Year and Date
      2016-06-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Bivariate discriminant analysis based on Gumbel copula2016

    • Author(s)
      Yuki Yasuda, Akio Suzukawa
    • Organizer
      Hokkaido University and Korea University 4th Workshop in Statistics
    • Place of Presentation
      Korea University,ソウル(韓国)
    • Year and Date
      2016-06-21
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Multivariate survival analysis based on shared frailty models2016

    • Author(s)
      鈴川晶夫
    • Organizer
      2016年日本数学会年会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-18
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Generalized Archimedean copulas2015

    • Author(s)
      Akio Suzukawa
    • Organizer
      The 9th Conference of the Asian Regional Section of the IASC
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2015-12-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Discriminant analysis based on vine copulas2015

    • Author(s)
      Yuki Yasuda, Akio Suzukawa
    • Organizer
      he 9th Conference of the Asian Regional Section of the IASC
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2015-12-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 生存時間分布に対する共有フレイルティモデルの一般化2015

    • Author(s)
      鈴川晶夫
    • Organizer
      2015年度統計関連連合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-09-09
    • Related Report
      2015 Research-status Report
  • [Presentation] ヴァインコピュラに基づく判別分析2015

    • Author(s)
      安田佑喜, 鈴川晶夫
    • Organizer
      2015年度統計関連連合大会
    • Place of Presentation
      岡山大学
    • Year and Date
      2015-09-08
    • Related Report
      2015 Research-status Report
  • [Presentation] On the nonlinear projection trick in the kernel methods2015

    • Author(s)
      Shogo Omote, Akio Suzukawa
    • Organizer
      Korea University and Hokkaido University 3rd Workshop in Statistics
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-02-03
    • Related Report
      2014 Research-status Report
  • [Presentation] A generalization of the shared frailty models for multivariate lifetime distributions2015

    • Author(s)
      Akio Suzukawa
    • Organizer
      Korea University and Hokkaido University 3rd Workshop in Statistics
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-02-02
    • Related Report
      2014 Research-status Report
  • [Presentation] Reversible Jump Markov Chain Monte Carlo Method2015

    • Author(s)
      Ryo Yawata, Akio Suzukawa
    • Organizer
      Korea University and Hokkaido University 3rd Workshop in Statistics
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-02-02
    • Related Report
      2014 Research-status Report
  • [Presentation] Data Depth and Support Vector Machine2015

    • Author(s)
      Zhaojun Jian, Akio Suzukawa
    • Organizer
      Korea University and Hokkaido University 3rd Workshop in Statistics
    • Place of Presentation
      北海道大学
    • Year and Date
      2015-02-02
    • Related Report
      2014 Research-status Report
  • [Presentation] Depth-SVM: Support Vector Machine Based on Data Depth2014

    • Author(s)
      簡肇均, 鈴川晶夫
    • Organizer
      日本計算機統計学会第28回シンポジウム
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2014-11-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 多変量打切りデータに基づく混合正規分布のベイズ推定2014

    • Author(s)
      八幡涼,鈴川晶夫
    • Organizer
      日本計算機統計学会第28回シンポジウム
    • Place of Presentation
      沖縄科学技術大学院大学
    • Year and Date
      2014-11-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 短期的流行効果をもつ一般化比例オッズ比モデル2014

    • Author(s)
      鈴川晶夫
    • Organizer
      統計関連学会連合大会2014
    • Place of Presentation
      東京大学
    • Year and Date
      2014-09-15
    • Related Report
      2014 Research-status Report
  • [Presentation] 生存時間分布に対する流行性モデルについて

    • Author(s)
      鈴川晶夫
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      大阪大学(大阪府吹田市)
    • Related Report
      2013 Research-status Report
  • [Presentation] A survival model with epidemic effects

    • Author(s)
      Akio Suzukawa
    • Organizer
      HOKKAIDO UNIVERSITY-KOREA UNIVERSITY SECOND JOINT WORKSHOP IN STATISTICS
    • Place of Presentation
      Korea University(韓国,ソウル)
    • Related Report
      2013 Research-status Report
  • [Presentation] 模倣効果をもつ生存時間分布モデル

    • Author(s)
      鈴川晶夫
    • Organizer
      科研費シンポジウム「時間事象データ解析に関する理論と方法論およびその応用」
    • Place of Presentation
      弘前大学(青森県,弘前市)
    • Related Report
      2013 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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