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Studies on Noncausal Problems in Mathematical Sciences

Research Project

Project/Area Number 19540153
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionRitsumeikan University

Principal Investigator

OGAWA Shigeyoshi  Ritsumeikan University, 理工学部, 教授 (80101137)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords確率論 / 非因果的確率解析 / 非因果的システムの解析 / 確率数値解析 / 確率システムの同定問題 / ファイナンスへの応用 / ヴォラティリティー推定 / 実時間推定法 / 確率解析 / 非因果的問題 / 数理ファイナンス / 係数推定問題 / finance / volatility / estimators / real-time scheme / numerical analysis / system identification
Research Abstract

In various fields of mathematical sciences, including theory of finance, there arise many problems of noncausal nature that can be treated not in theusual theory of Ito Calculus but in the framework of noncausal calculus originated by the author in 1893. In this research program we have aimed to investigate the theoretical back ground of the theory as well as some numerical problems concerned with the finance. In both directions, we have obtained many fundamental theoretical results and numerical schemes, those were published in journals and presented at many international conferences.

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (35 results)

All 2010 2009 2008 2007

All Journal Article (10 results) (of which Peer Reviewed: 4 results) Presentation (18 results) Book (5 results) Patent(Industrial Property Rights) (2 results)

  • [Journal Article] On a real-time estimation of parameters of jump-diffusion processes2010

    • Author(s)
      S. Ogawa, H-L. Ngo
    • Journal Title

      Math. And Computers in Simmulation, Elsevier, Neetherland

    • Related Report
      2009 Final Research Report
  • [Journal Article] On a real-time estimation of parameters of jump-diffusion processes2010

    • Author(s)
      S.Ogawa, H-L.Ngo
    • Journal Title

      Math and Computation, Elesevier, Neetherland (掲載確定)

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A central limit theorem for the functional estimation of the spot volatility2009

    • Author(s)
      S. Ogawa, H-L Ngo
    • Journal Title

      Monte Carlo Methods and Applications vol15,No.4

    • Related Report
      2009 Final Research Report
  • [Journal Article] A central limit theorem for the functional estimation of the spot volatility2009

    • Author(s)
      S.Ogawa, H-L.Ngo
    • Journal Title

      Monte Carlo Methods and Appl., de Gruyter, Berlin 15

      Pages: 353-380

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Real time scheme for the volatility estimation in the presence of microstructure noise2008

    • Author(s)
      S. Ogawa
    • Journal Title

      Monte Carlo Methods and Applications vol.14,No.4

      Pages: 331-342

    • Related Report
      2009 Final Research Report
  • [Journal Article] Real-time scheme for the volatility estimation in the presence of microstructure noise2008

    • Author(s)
      Shigeyoshi Ogawa
    • Journal Title

      Monte Carlo Methods Appl. 14-2

      Pages: 331-342

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On a real-time scheme for the estimation of volatility2007

    • Author(s)
      S. Ogawa, K. Wakayama
    • Journal Title

      Monte Carlo Method and Appl. Vol.13No.1

      Pages: 99-116

    • Related Report
      2009 Final Research Report
  • [Journal Article] "Noncausal Stochastic Calculus Revisitted", In“Advances in Deterministic and Stochastic Analysis"(Monograph)2007

    • Author(s)
      S. Ogawa
    • Journal Title

      World Scientific

      Pages: 297-320

    • Related Report
      2009 Final Research Report
  • [Journal Article] "Noncaual Integral Equations of Fredholm Type", In“Harmonic, Wavelet and p-Adic Analysis"(Monograph)2007

    • Author(s)
      S. Ogawa
    • Journal Title

      World Scientific

      Pages: 331-342

    • Related Report
      2009 Final Research Report
  • [Journal Article] Real time estimator for the volatilities2007

    • Author(s)
      S.Ogawa & K.Wakavama
    • Journal Title

      Monte Carlo Methods and Applications 10

      Pages: 99-116

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] Noncausal Problems and Calculus in Mathematical Physics2010

    • Author(s)
      S. Ogawa
    • Organizer
      Series of 3 Lectures at Spring School of Stochastic Theory
    • Place of Presentation
      Taiwan University by Math Inst, of Academia Sinica Taiwan
    • Related Report
      2009 Final Research Report
  • [Presentation] Parameter estimnation of jump-diffusion processes2010

    • Author(s)
      S. Ogawa, H-L. Ngo
    • Organizer
      Joint Seminar of Firenze and Ritsumeikan universities on Stochastic Processes and Finances
    • Place of Presentation
      Ritsumeikan Univ.
    • Related Report
      2009 Final Research Report
  • [Presentation] Parameter estimnation of jump-diffusion processes2010

    • Author(s)
      S.Ogawa, H-L.Ngo
    • Organizer
      Joint Seminar of Firenze and Ritsumeikan universities on Stochastic Processes and Finances
    • Place of Presentation
      立命館大学(滋賀県)
    • Related Report
      2009 Annual Research Report
  • [Presentation] Noncausal Problems and Calculus in Mathematical Physics2010

    • Author(s)
      S.Ogawa
    • Organizer
      Series of Lectures at Spring School of Stochastic Theory
    • Place of Presentation
      Taiwan University, Taiwan
    • Related Report
      2009 Annual Research Report
  • [Presentation] On a real-time estimation of parameters of jump-diffusion processes2009

    • Author(s)
      Shigeyoshi Ogawa, Hoan-Long Ngo
    • Organizer
      Joint Workshop of Ritsumeikan univ and Firenze university on Finance and Risk Theory
    • Place of Presentation
      Firenze Univesristy (Italy)
    • Year and Date
      2009-11-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] Recent Progress in The Problem of Volatility Estimation2009

    • Author(s)
      S. Ogawa
    • Organizer
      日本応用数理学会数理ファイナンス分科会特別講演
    • Place of Presentation
      於大阪大学
    • Year and Date
      2009-09-28
    • Related Report
      2009 Final Research Report
  • [Presentation] Recent Progress in The Problem of Volatility Estimation2009

    • Author(s)
      小川重義
    • Organizer
      応用数理学会特別講演(ファイナンス分科会)
    • Place of Presentation
      大阪大学(大阪府)
    • Year and Date
      2009-09-28
    • Related Report
      2009 Annual Research Report
  • [Presentation] On the real-time estimation scheme for the spot volatilities2009

    • Author(s)
      S. Ogawa with H-L. NGO
    • Organizer
      SPA2009 Congress
    • Place of Presentation
      Berlin
    • Year and Date
      2009-07-30
    • Related Report
      2009 Final Research Report
  • [Presentation] On the real-time estimation scheme for the spot volatilities2009

    • Author(s)
      S.Ogawa, with H-L.NGO
    • Organizer
      SPA2009 Congress
    • Place of Presentation
      Berlin, Germany
    • Year and Date
      2009-07-30
    • Related Report
      2009 Annual Research Report
  • [Presentation] Real-time scheme for the volatility estimation in the presence of microstructure noise2009

    • Author(s)
      Shigeyoshi Ogawa
    • Organizer
      Joint Workshop of Ritsumeikan univ and Firenze university on Finance and Risk Theory
    • Place of Presentation
      Firenze Univesristy (Italy)
    • Year and Date
      2009-03-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] An improved two-step regularization scheme for spot volatility estimation2009

    • Author(s)
      Shigeyoshi Ogawa, Simona Sanfelici
    • Organizer
      Joint Workshop of Ritsumeikan univ and Firenze university on Finance and Risk Theory
    • Place of Presentation
      Firenze Univesristy (Italy)
    • Year and Date
      2009-03-11
    • Related Report
      2008 Annual Research Report
  • [Presentation] Real-time scheme for the volatility estimation in the presence of microstructure noise2009

    • Author(s)
      S. Ogawa
    • Organizer
      Invited Lecture at RITS-Firenze Workshop on Security and Math Finance
    • Place of Presentation
      Firenze Univ.
    • Related Report
      2009 Final Research Report
  • [Presentation] An improvement of the real-time estimator of the spot volatility2009

    • Author(s)
      S. Ogawa, S, Sanfelici
    • Organizer
      Invited Lecture at RITS-Firenze Workshop on Security and Math Finance
    • Place of Presentation
      Firenze Univ.
    • Related Report
      2009 Final Research Report
  • [Presentation] Real-time estimation scheme for the spot cross volatility of jump-diffusion processes2009

    • Author(s)
      S. Ogawa, H-L. Ngo
    • Organizer
      Invited Lecture at RITS-Firenze Workshop on Security and Math Finance
    • Place of Presentation
      Firenze Univ.
    • Related Report
      2009 Final Research Report
  • [Presentation] Real time scheme for volatility estimation2008

    • Author(s)
      Shigeyoshi OGAWA
    • Organizer
      The 8th Ritsumeikan Symposium on Stochastic Processes and Mathematical Finance
    • Place of Presentation
      Kyoto Campus Plaza
    • Year and Date
      2008-03-21
    • Related Report
      2007 Annual Research Report
  • [Presentation] Some attempts to the real-time estimation of the volatility2008

    • Author(s)
      S. Ogawa
    • Organizer
      Invited Lecture at Intern. Conference CAPS2008
    • Place of Presentation
      Press Center in Hanoi
    • Related Report
      2009 Final Research Report
  • [Presentation] On a real-time scheme for the volatility estimation2008

    • Author(s)
      S. Ogawa
    • Organizer
      Pleinary Lecture at Ritsumeikan Symposium on Stochastic Processes and Finance
    • Place of Presentation
      Ritsumeikan Univ.
    • Related Report
      2009 Final Research Report
  • [Presentation] Un essaie pour l'estimation de volatilite en temps-reel2007

    • Author(s)
      S. Ogawa
    • Organizer
      Invited talk at Bachelier Seminar in Paris
    • Place of Presentation
      L'I.H.P.
    • Related Report
      2009 Final Research Report
  • [Book] 「確率数値解析に於ける諸問題-8」(数理科学講究録)2009

    • Author(s)
      小川重義
    • Total Pages
      170
    • Publisher
      京都大学数理解析研究所
    • Related Report
      2009 Annual Research Report
  • [Book] 数理科学講究録「第8回研究会確率数値解析に於ける諸問題」2009

    • Author(s)
      S. Ogawa edt
    • Total Pages
      210
    • Publisher
      京都大学数理解析研究所
    • Related Report
      2008 Annual Research Report
  • [Book] 数理科学講究録「確率数値解析に於ける諸問題-8」2008

    • Author(s)
      小川重義(編著)
    • Publisher
      京都大学数理解析研究所
    • Related Report
      2009 Final Research Report
  • [Book] 数学セミナー確率・統計2007

    • Author(s)
      小川重義, 森真
    • Total Pages
      243
    • Publisher
      秀和出版
    • Related Report
      2009 Final Research Report
  • [Book] 確率統計2007

    • Author(s)
      小川 重義・森真
    • Total Pages
      230
    • Publisher
      秀和システム
    • Related Report
      2007 Annual Research Report
  • [Patent(Industrial Property Rights)] ヴォラティリティの推定装置及びそのコンピュータプログラム、並びにヴォラティリティ推定方法2008

    • Inventor(s)
      小川重義
    • Industrial Property Rights Holder
      小川重義・立命館大学
    • Industrial Property Number
      2008-162810
    • Filing Date
      2008-06-23
    • Related Report
      2009 Final Research Report
  • [Patent(Industrial Property Rights)] 多段階法による実時間ヴォラティリティー推定法2008

    • Inventor(s)
      小川重義
    • Industrial Property Rights Holder
      小川重義
    • Industrial Property Number
      2008-162810
    • Filing Date
      2008
    • Related Report
      2008 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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