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KASAHARA Yukio  笠原 雪夫

ORCIDConnect your ORCID iD *help
Researcher Number 10399793
Affiliation (based on the past Project Information) *help 2018 – 2020: 北海道大学, 理学研究院, 研究院研究員
2017: 北海道大学, 理学(系)研究科(研究院), 研究員
2016: 北海道大学, 理学研究院, 研究員
2014 – 2015: 北海道大学, 理学(系)研究科(研究院), 非常勤講師
2007 – 2011: Hokkaido University, 大学院・理学研究院, 非常勤講師 … More
2008: Hokkaido University, 大学院・理学研究院, 学術研究員
2008: Hokkaido University, 大学院理学研究院, 学術研究員
2006: Hokkaido Univ., Fac.of Sci., Researcher, 大学院理学研究院, 学術研究員
2005: 北海道大学, 大学院・理学研究科, 学術研究員 Less
Review Section/Research Field
Principal Investigator
Basic analysis
Except Principal Investigator
Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
確率論 / 関数論 / 関数解析 / 単位円上の直交多項式 / 完全非決定性 / 偏相関係数 / 定常過程
Except Principal Investigator
予測理論 / 直交多項式 / 偏相関関数 … More / 確率解析 / フィルタリング / Verblunsky係数 / 有限予測係数 / 数理ファイナンス / 確率論 / 多次元ARMA過程 / ブートストラップ / テプリッツ系 / 多変量ARMA過程 / 線形時間アルゴリズム / 閉形式表示 / 自己回帰移動平均過程 / Duality in prediction theory / Partial autocorrelation function / Long term investment / Financial market model with memory / Long memory / Verblunsky coefficients / Orthogonal polynomials / Prediction theory / 非マルコフ型ノイズ / 最適投資問題 / 記憶を持つ確率過程 / 予測問題 / 記憶を持つ確立過程 / 効用等値価格 / 予測理論における双対性 / 長期間投資問題 / 記憶を持つ金融市場モデル / 長時間記憶 / 非マルコフ・モデル / 短期金利モデル / Baxterの不等式 / Verblunsky 係数 / ARMA過程 / 有限予測誤差 / ARMA 過程 / 非マルコフ / 双対問題 / 均衡価格 / 時間に関する一貫性 / 動的リスク測度 / 保険料計算原理 / 指数効用 / 最適異時点間リスク配分 / 保険 / ファイナンス / 非マルコフ型市場モデル / 漸近挙動 / 多次元化 / 多次元定常過程 / 相係数 / 予測理論的手法 / リスク / 記憶 / 確率過程 Less
  • Research Projects

    (5 results)
  • Research Products

    (36 results)
  • Co-Researchers

    (4 People)
  •  Dynamic stochastic dependency analysis by new prediction theoretic method and its applications to finance

    • Principal Investigator
      Inoue Akihiko
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Development of new multivariate prediction theory and dynamic dependency analysis in finance

    • Principal Investigator
      Inoue Akihiko
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Hiroshima University
  •  Optimal intertemporal risk allocation with applications to finance and insurance

    • Principal Investigator
      INOUE Akihiko
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hiroshima University
      Hokkaido University
  •  Study on the time-dependence structure of completely nondeterministic stationary processesPrincipal Investigator

    • Principal Investigator
      KASAHARA Yukio
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Basic analysis
    • Research Institution
      Hokkaido University
  •  Progress in new methods for prediction theory and Tauberian theorems with applications to stochastic analysis of processes with memory

    • Principal Investigator
      INOUE Akihiko
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      HOKKAIDO UNIVERSITY

All 2018 2016 2015 2014 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] Matricial Baxter's theorem with a Nehari sequence2018

    • Author(s)
      Kasahara Yukio、Bingham Nicholas H.
    • Journal Title

      Mathematische Nachrichten

      Volume: 291 Issue: 17-18 Pages: 2590-2598

    • DOI

      10.1002/mana.201700147

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05302
  • [Journal Article] Simple matrix representations of the orthogonal polynomials for a rational spectral density on the unit circle2018

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

      Journal of Mathematical Analysis and Applications

      Volume: 464 Issue: 2 Pages: 1366-1374

    • DOI

      10.1016/j.jmaa.2018.04.062

    • NAID

      120006878348

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05302
  • [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

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05302, KAKENHI-PROJECT-26400139
  • [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

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400139
  • [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

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400139
  • [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

    • Open Access
    • Data Source
      KAKENHI-PROJECT-26400139
  • [Journal Article] An explicit representation of Verblunsky coefficients2012

    • Author(s)
      N. H. Bingham, A. Inoue and Y. Kasahara
    • Journal Title

      Statistics & Probability Letters

      Volume: vol.82 Pages: 403-410

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] An Explicit Representation of Verblunsky Coefficients2012

    • Author(s)
      Bingham N. H., Inoue, A. and Kasahara, Y.
    • Journal Title

      Statistics & Probability Letters

      Volume: 82 Issue: 2 Pages: 403-410

    • DOI

      10.1016/j.spl.2011.11.004

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20241037, KAKENHI-PROJECT-20340015, KAKENHI-PROJECT-23654037
  • [Journal Article] Duals of Random Vectors and Processes with Applications to Prediction Problems with Missing Values2009

    • Author(s)
      Kasahara, Y., Pourahmadi, M., Inoue, A.
    • Journal Title

      Statistics & Probability Letters 79

      Pages: 1637-1646

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Duals of random vectors and processes with applications to prediction problems with missing values2009

    • Author(s)
      Y. Kasahara, M. Pourahmadi and A. Inoue
    • Journal Title

      Statistics & Probability Letters

      Volume: vol.79 Pages: 1637-1646

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Duals of random vectors and processes with applications to prediction problems with missing values2009

    • Author(s)
      Y. Kasahara, M. Pourahmadi, A. Inoue
    • Journal Title

      Statistics & Probability Letters vol.79

      Pages: 1637-1646

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Baxter's inequality for fractional Brownian motion-type processes with Hurst index less than 1/22008

    • Author(s)
      Akihiko Inoue, Yukio Kasahara, Punam Phartyal
    • Journal Title

      Statistics & Probability Letters 78

      Pages: 2889-2894

    • NAID

      120006459591

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Journal Article] Baxter's inequality for fractional Brownian motion-type processes with Hurst index less than 1/22008

    • Author(s)
      A. Inoue, Y. Kasahara, P. Phartyal
    • Journal Title

      Statistics & Probability Letters vol.78

      Pages: 2889-2894

    • NAID

      120006459591

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Baxter' s Inequality for Fractional Brownian Motion-type Processes with Hurst Index less than 1 / 22008

    • Author(s)
      Inoue, A., Kasahara, Y. and Phartval, P.
    • Journal Title

      Statistics & Probability Letters 78

      Pages: 2889-2894

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Baxter' s inequality for fractional Brownian motion-type processes with Hurstindex less than 1/ 22008

    • Author(s)
      A. Inoue, Y. Kasahara and P. Phartyal
    • Journal Title

      Statistics & Probability Letters

      Volume: vol.78 Pages: 2889-2894

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Journal Article] Baxter's inequality for fractional Brownian motion-type processes with Hurst index less than 1/22008

    • Author(s)
      Akihiko Inoue, Yukio Kasahara and Punam Phartyal
    • Journal Title

      Statistics & Probability Letters 78

      Pages: 2889-2894

    • NAID

      120006459591

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Journal Article] Duals of random vectors and processes with applications to prediction problems with missing values

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

      Statistics & Probability Letters

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740065
  • [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)
    • Data Source
      KAKENHI-PROJECT-26400139
  • [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
    • Data Source
      KAKENHI-PROJECT-26400139
  • [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
    • Data Source
      KAKENHI-PROJECT-26400139
  • [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
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400139
  • [Presentation] 予測理論における表現定理の多次元への拡張の応用2012

    • Author(s)
      井上昭彦・M. Pourahmadi・笠原雪夫
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-03-26
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] 予測理論における表現定理の多次元への拡張2011

    • Author(s)
      井上昭彦・M. Pourahmadi・笠原雪夫
    • Organizer
      日本数学会2011年度秋季総合分科会
    • Place of Presentation
      信州大学
    • Year and Date
      2011-09-28
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] Verblunsky係数とNehariの問題2010

    • Author(s)
      笠原雪夫
    • Organizer
      日本数学会年会
    • Place of Presentation
      横浜
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] Verblunsky 係数と Nehari の問題2010

    • Author(s)
      笠原雪夫
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] OPUC associated with a rigid function(3)2009

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2009
    • Place of Presentation
      埼玉県坂戸市
    • Year and Date
      2009-10-25
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] OPUC associated with a rigid function (3)2009

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2009
    • Place of Presentation
      埼玉県坂戸市
    • Year and Date
      2009-10-25
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] OPUC associated with a rigid function (3)2009

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2009
    • Place of Presentation
      城西大学
    • Year and Date
      2009-10-25
    • Data Source
      KAKENHI-PROJECT-20340015
  • [Presentation] OPUC under the Levinson-McKean condition, Verblunsky coefficients and phase coefficients2008

    • Author(s)
      笠原雪夫
    • Organizer
      日本数学会秋季総合分科会統計数学分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] Orthogonal polynomials on the unit circle associated with a rigid function2008

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2008
    • Place of Presentation
      山口大学
    • Year and Date
      2008-11-09
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] OPUC under the Levinson-Mckean condition, Verblunsky coefficients and phase coefficients2008

    • Author(s)
      笠原雪夫
    • Organizer
      日本数学会, 秋季総合分科会, 統計数学分科会,
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] Orthogonal polynomials on the unit circle associated with a rigid function (2)2008

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2008
    • Place of Presentation
      山口大学
    • Year and Date
      2008-11-09
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] 定常過程の予測問題と直交多項式2007

    • Author(s)
      笠原 雪夫
    • Organizer
      第46回実関数論・函数解析学合同シンポジウム
    • Place of Presentation
      九州大学西新プラザ
    • Year and Date
      2007-08-08
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] A duality relation in some prediction problems2007

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2007
    • Place of Presentation
      大阪教育大学
    • Year and Date
      2007-10-20
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] 定常過程の予測問題と直交多項式2007

    • Author(s)
      笠原雪夫
    • Organizer
      第46回実関数論・函数解析学 合同シンポジウム
    • Place of Presentation
      九州大学
    • Year and Date
      2007-08-08
    • Data Source
      KAKENHI-PROJECT-18740065
  • [Presentation] Orthogonal polynomials on the unit circle associated with a rigid function2006

    • Author(s)
      笠原雪夫
    • Organizer
      実解析学シンポジウム2006
    • Place of Presentation
      弘前大学
    • Year and Date
      2006-10-28
    • Data Source
      KAKENHI-PROJECT-18740065
  • 1.  INOUE Akihiko (50168431)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 19 results
  • 2.  IWATA Koichiro (20241292)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  NAKAZI Takahiko (30002174)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  三上 敏夫 (70229657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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