• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Development of new multivariate prediction theory and dynamic dependency analysis in finance

Research Project

Project/Area Number 26400139
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionHiroshima University

Principal Investigator

Inoue Akihiko  広島大学, 理学研究科, 教授 (50168431)

Co-Investigator(Kenkyū-buntansha) 笠原 雪夫  北海道大学, 理学(系)研究科(研究院), 研究員 (10399793)
Project Period (FY) 2014-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords予測理論 / 非マルコフ / 確率解析 / ARMA 過程 / 偏相関関数 / 有限予測誤差 / ARMA過程 / 直交多項式 / Verblunsky 係数 / Baxterの不等式 / 短期金利モデル / 非マルコフ・モデル
Outline of Final Research Achievements

(1) In joint work with M. Pourahmadi, Inoue and Kasahara completed the work to extend the new method in prediction theory to multivariate processes.
(2) In joint work with Shingo Moriuchi and Yusuke Nakamura, A. Inoue introduced a new short rate model which has several good properties. This is an application of a framework introduced by A. Inoue and others, which admits the use of stochastic analysis in non-Markovian set up.
(3) The ARMA processes are one of the most important models in discrete-time stationary processes. In joint work, A. Inoue and Y. Kasahara derived closed-form Matrix expressions for partial autocorrelation functions and finite prediction errors of univariate ARMA processes.

Report

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

    (27 results)

All 2018 2017 2016 2015 2014 Other

All Int'l Joint Research (2 results) Journal Article (7 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 4 results,  Open Access: 1 results) Presentation (13 results) (of which Int'l Joint Research: 1 results,  Invited: 5 results) Book (1 results) Remarks (4 results)

  • [Int'l Joint Research] Texas A&M University(米国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Texas A&M University(米国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Baxter’s inequality for finite predictor coefficients of multivariate long-memory stationary processes2018

    • Author(s)
      Inoue Akihiko、Kasahara Yukio、Pourahmadi Mohsen
    • Journal Title

      Bernoulli

      Volume: 24 Issue: 2 Pages: 1202-1232

    • DOI

      10.3150/16-bej897

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 移動平均型定常増分過程に対する新生過程によるセミマルチンゲール表現2017

    • Author(s)
      井上 昭彦, 仲村 勇祐
    • Journal Title

      数理解析研究所講究録

      Volume: 2030 Pages: 32-38

    • Related Report
      2016 Research-status Report
  • [Journal Article] Rigidity for matrix-valued Hardy functions2016

    • Author(s)
      Yukio Kasahara, Akihiko Inoue, Mohsen Pourahmadi
    • Journal Title

      Integral Equations and Operator Theory

      Volume: 84 Issue: 2 Pages: 289-300

    • DOI

      10.1007/s00020-015-2265-y

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The intersection of past and future for multivariate stationary processes2016

    • Author(s)
      Akihiko Inoue, Yukio Kasahara, Mohsen Pourahmadi
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 144 Issue: 4 Pages: 1779-1786

    • DOI

      10.1090/proc/12869

    • NAID

      120005745379

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A Vasicek-type short rate model with memory effect2015

    • Author(s)
      Akihiko Inoue, Shingo Moriuchi, Yusuke Nakamura
    • Journal Title

      Stochastic Analysis and Applications

      Volume: 33 Issue: 6 Pages: 1068-1082

    • DOI

      10.1080/07362994.2015.1087864

    • Related Report
      2015 Research-status Report
    • Peer Reviewed
  • [Journal Article] Vasicekモデルのひとつの拡張2015

    • Author(s)
      井上 昭彦, 森内 慎吾, 仲村 勇祐
    • Journal Title

      数理解析研究所講究録

      Volume: 1952 Pages: 157-164

    • Related Report
      2015 Research-status Report
  • [Journal Article] 多次元の予測理論的手法の最近の進展について2014

    • Author(s)
      井上昭彦、笠原雪夫、Mohsen Pourahmadi
    • Journal Title

      数理解析研究所講究録

      Volume: 1903 Pages: 67-72

    • Related Report
      2014 Research-status Report
    • Open Access
  • [Presentation] 新生過程の明示公式とファイナンスへの応用2017

    • Author(s)
      井上 昭彦
    • Organizer
      ファイナンスの数理解析とその応用
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] 定常過程の移動平均近似について2016

    • Author(s)
      清水 亮, 井上 昭彦, 笠原 雪夫
    • Organizer
      日本数学会 中国・四国支部例会
    • Place of Presentation
      広島大学 (広島県東広島市)
    • Year and Date
      2016-01-24
    • Related Report
      2015 Research-status Report
  • [Presentation] 定常過程に対するBaxter 型不等式とブートストラップへの応用2016

    • Author(s)
      清水 亮, 井上 昭彦, 笠原 雪夫
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学千里山キャンパス (大阪府吹田市)
    • Related Report
      2016 Research-status Report
  • [Presentation] 移動平均型定常増分過程の新生過程によるセミマルチンゲール表現2016

    • Author(s)
      仲村 勇祐, 井上 昭彦
    • Organizer
      日本数学会2016年度秋季総合分科会
    • Place of Presentation
      関西大学千里山キャンパス (大阪府吹田市)
    • Related Report
      2016 Research-status Report
  • [Presentation] 定常増分過程のセミマルチンゲール表現と金利モデルへの応用2016

    • Author(s)
      井上 昭彦
    • Organizer
      ファイナンスの数理解析とその応用
    • Place of Presentation
      京都大学数理解析研究所 (京都市)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] 移動平均型定常増分過程に対する新生過程によるセミマルチンゲール表現2016

    • Author(s)
      井上 昭彦, 仲村 勇祐
    • Organizer
      確率論シンポジウム
    • Place of Presentation
      京都大学数理解析研究所 (京都市)
    • Related Report
      2016 Research-status Report
  • [Presentation] Vasicek-type short rate models with memory effect2015

    • Author(s)
      仲村 勇祐, 井上 昭彦
    • Organizer
      ファイナンスの数理解析とその応用
    • Place of Presentation
      京都大学数理解析研究所 (京都市)
    • Year and Date
      2015-11-17
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Rigidity for matrix-valued Hardy functions2015

    • Author(s)
      笠原 雪夫, 井上 昭彦, Mohsen Pourahmadi
    • Organizer
      実解析学シンポジウム2015
    • Place of Presentation
      東邦大学習志野キャンパス (千葉県船橋市)
    • Year and Date
      2015-10-24
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Rigidity for matrix-valued Hardy functions2015

    • Author(s)
      Yukio Kasahara, Akihiko Inoue, Mohsen Pourahmadi
    • Organizer
      日本数学会2015年度秋季総合分科会
    • Place of Presentation
      京都産業大学 (京都市)
    • Year and Date
      2015-09-14
    • Related Report
      2015 Research-status Report
  • [Presentation] Explicit representation of finite predictor coefficients for multivariate stationary processes2015

    • Author(s)
      Akihiko Inoue
    • Organizer
      38th Conference on Stochastic Processes and their Applications
    • Place of Presentation
      Oxford (UK)
    • Year and Date
      2015-07-14
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 記憶の効果を持つVasicekタイプの短期金利モデル2015

    • Author(s)
      仲村勇祐、井上昭彦、森内慎吾
    • Organizer
      日本数学会2015年度年会
    • Place of Presentation
      明治大学
    • Year and Date
      2015-03-21
    • Related Report
      2014 Research-status Report
  • [Presentation] 記憶の効果を持つ短期金利モデル2015

    • Author(s)
      仲村勇祐、井上昭彦、森内慎吾
    • Organizer
      平成26年度日本数学会中国・四国支部例会
    • Place of Presentation
      徳島大学
    • Year and Date
      2015-01-25
    • Related Report
      2014 Research-status Report
  • [Presentation] 多次元の予測理論的手法2014

    • Author(s)
      井上昭彦
    • Organizer
      九州確率論セミナー
    • Place of Presentation
      九州大学
    • Year and Date
      2014-04-25
    • Related Report
      2014 Research-status Report
    • Invited
  • [Book] ファイナンスと保険の数理2014

    • Author(s)
      井上昭彦、中野張、福田敬
    • Total Pages
      464
    • Publisher
      岩波書店
    • Related Report
      2014 Research-status Report
  • [Remarks]

    • URL

      http://home.hiroshima-u.ac.jp/inoue100/

    • Related Report
      2016 Research-status Report
  • [Remarks]

    • URL

      http://home.hiroshima-u.ac.jp/inoue100/index-e.html

    • Related Report
      2016 Research-status Report
  • [Remarks] 井上昭彦のホームページ

    • URL

      http://home.hiroshima-u.ac.jp/inoue100/

    • Related Report
      2015 Research-status Report
  • [Remarks] Akihiko Inoue's Homepage

    • URL

      http://home.hiroshima-u.ac.jp/inoue100/index-e.html

    • Related Report
      2015 Research-status Report

URL: 

Published: 2014-04-04   Modified: 2019-03-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi