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Nonparametric inference for discretely observed continuous-time and spatial processes

Research Project

Project/Area Number 19K20881
Project/Area Number (Other) 18H05679 (2018)
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund (2019)
Single-year Grants (2018)
Review Section 0107:Economics, business administration, and related fields
Research InstitutionTokyo Institute of Technology

Principal Investigator

Kurisu Daisuke  東京工業大学, 工学院, 助教 (70825835)

Project Period (FY) 2018-08-24 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsレヴィ過程 / レヴィ駆動型確率過程 / 空間過程 / 経験過程 / ブートストラップ法 / ノンパラメトリック推定 / 高頻度データ分析 / 定量的リスク管理 / レヴィ駆動型確率微分方程式 / 空間回帰モデル / ノンパラメトリックモデル
Outline of Research at the Start

本研究では連続時間・空間上で定義された確率過程を離散観測する状況において確率過程の持つ特徴量をノンパラメトリックに統計的に推測する方法を開発することを目的とする。特に金融・保険・計量経済学にとどまらず、工学や物理学の分野においても重要な統計モデルであるレヴィ過程やその一般化であるレヴィ駆動型オルンシュタイン・ウーレンベック過程、定常空間回帰モデルに注目する。これらの確率過程を高頻度または低頻度で離散観測する場合する状況を考え、それぞれの特徴量であるレヴィ密度(測度)、空間回帰モデルの平均・分散関数の推定量に対する極限定理の導出を目指す。

Outline of Final Research Achievements

In this project, the investigator worked on the following three studies.
①Nonparametric inference for Levy densities of Levy processes observed at high-frequency, ②Nonparametric inference for Levy measures of discretely observed Levy-driven stochastic processes, ③Nonparametric inference for mean and variance functions of nonparametric spatial regression models with irregularly spaced observations. Since the models studied in ①, ② are also important in engineering and physics as well as in finance and non-life insurance which are motivating examples in this project, the results can be applied to wide range of research fields. Moreover, I am planning to extend the results in ③ to more general framework such as spatio-temporal data so that we can consider spatial and temporal dependence simultaneously.

Academic Significance and Societal Importance of the Research Achievements

研究①、②の成果により、金融機関等における実務家は理論的な妥当性を持つ統計手法を用いて金融商品や保険商品の将来のリスクを定量的に評価することが可能になる。研究③の成果により地価や気温、降水量などの空間的な従属構造を持つデータに対して設定される統計モデルに対してより正確な推定可能になる。さらに時間・空間的な従属性をもつより複雑かつ現実的な構造をもつデータに対する統計手法の理論解析への発展が期待される。

Report

(3 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Annual Research Report
  • Research Products

    (30 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (9 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 7 results,  Open Access: 3 results) Presentation (15 results) (of which Int'l Joint Research: 9 results,  Invited: 6 results) Book (1 results) Remarks (1 results)

  • [Int'l Joint Research] Cornell University/University of Pennsylvania/Duke University(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] London School of Economics(英国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Seoul National University(韓国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Cornell Univerisy(米国)

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Bootstrap confidence bands for spectral estimation of Levy densities under high-frequency observations2020

    • Author(s)
      Kato, K. and Kurisu, D.
    • Journal Title

      Stochastic Processes and their Applications

      Volume: ー Issue: 3 Pages: 1159-1205

    • DOI

      10.1016/j.spa.2019.04.012

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Comparing estimation methods of non-stationary errors-in-variables models2020

    • Author(s)
      Naoto Kunitomo, Naoki Awaya and Daisuke Kurisu
    • Journal Title

      Japanese Journal of Statistics and Data Science

      Volume: ー Issue: 1 Pages: 73-101

    • DOI

      10.1007/s42081-019-00051-1

    • NAID

      210000164419

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Inference on distribution functions under measurement error2020

    • Author(s)
      Adusumilli Karun, Kurisu Daisuke, Otsu Taisuke, Whang Yoon-Jae
    • Journal Title

      Journal of Econometrics

      Volume: 215 Issue: 1 Pages: 131-164

    • DOI

      10.1016/j.jeconom.2019.09.002

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On nonparametric inference for spatial regression models under domain expanding and infill asymptotics2019

    • Author(s)
      Kurisu, D
    • Journal Title

      Statistics and Probability Letters

      Volume: 154 Pages: 108543-108543

    • DOI

      10.1016/j.spl.2019.06.019

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonparametric inference on Levy measures of compound Poisson-driven Ornstein-Uhlenbeck processes under macroscopic discrete observations2019

    • Author(s)
      Kurisu Daisuke
    • Journal Title

      Electronic Journal of Statistics

      Volume: 13 Issue: 2 Pages: 2521-2565

    • DOI

      10.1214/19-ejs1584

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Simultaneous multivariate Hawkes-type point processes and their application to financial markets2018

    • Author(s)
      Kunitomo Naoto、Kurisu Daisuke、Awaya Naoki
    • Journal Title

      Japanese Journal of Statistics and Data Science

      Volume: 1 Issue: 2 Pages: 297-332

    • DOI

      10.1007/s42081-018-0017-3

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] 高頻度観測の下でのLevy密度のノンパラメトリック推定とブートストラップ法によるconfidence bandの構成.2018

    • Author(s)
      栗栖大輔
    • Journal Title

      統計数理研究所共同研究リポート「無限分解可能過程に関連する諸問題」

      Volume: 402 Pages: 61-70

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Levy駆動型Ornstein-Uhlenbeck過程のLevy測度に対する信頼バンドの構成.2018

    • Author(s)
      栗栖大輔
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2091 Pages: 116-124

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Power Variations and Testing for Co-Jumps: The Small Noise Approach2017

    • Author(s)
      Kurisu Daisuke
    • Journal Title

      Scandinavian Journal of Statistics

      Volume: - Issue: 3 Pages: 482-512

    • DOI

      10.1111/sjos.12309

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Bootstrap confidence bands for spectral estimation of Levy densities under high-frequency observations.2019

    • Author(s)
      Kurisu Daisuke
    • Organizer
      EcoSta2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Detecting the number of factors of quadratic variation in the presence of microstructure noise.2019

    • Author(s)
      Kurisu Daisuke
    • Organizer
      SETA2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 確率過程・確率場に対する高次元正規近似.2019

    • Author(s)
      栗栖大輔
    • Organizer
      Hosoya Prize Lecture
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Detecting number of factors of quadratic variation in the presence of microstructure noise.2019

    • Author(s)
      Kurisu Daisuke
    • Organizer
      CMStatistics2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonparametric estimation of density functions from repeated measurements.2019

    • Author(s)
      栗栖大輔
    • Organizer
      データサイエンス・福島キャンプ2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] Detecting factors of quadratic variation in the presence of market microstructure noise.2019

    • Author(s)
      栗栖大輔
    • Organizer
      JAFEE大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 観測誤差が存在する場合の quadratic variation のファクター数の推定と検定.2019

    • Author(s)
      栗栖大輔
    • Organizer
      九州大学統計科学セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Nonparametric inference for Levy models.2019

    • Author(s)
      Kurisu, D.
    • Organizer
      ICMMA2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonparametric inference on Levy-driven Ornstein-Uhlenbeck processes under discrete observations.2018

    • Author(s)
      Kurisu, D.
    • Organizer
      IMS-APRM2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonparametric inference on Levy measures of Levy-driven Ornstein-Uhlenbeck processes.2018

    • Author(s)
      Kurisu, D.
    • Organizer
      JSM2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bootstrap confidence bands for spectral estimation of Levy densities under high-frequency observations.2018

    • Author(s)
      Kurisu, D.
    • Organizer
      ANU College of Business and Economics RSFAS Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bootstrap confidence bands for Levy densities under high-frequency observations and its applications to financial data.2018

    • Author(s)
      Kurisu, D.
    • Organizer
      LSE STICERD Econometrics Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonparametric inference on Levy-driven Ornstein-Uhlenbeck processes.2018

    • Author(s)
      Kurisu, D.
    • Organizer
      CMStatistics2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 不等間隔観測の下でのノンパラメトリック空間回帰モデルに対する統計的推測.2018

    • Author(s)
      栗栖大輔
    • Organizer
      データサイエンス・松本キャンプ2018
    • Related Report
      2018 Annual Research Report
  • [Presentation] Nonparametric inference on compound Poisson-driven Ornstein-Uhlenbeck processes.2018

    • Author(s)
      栗栖大輔
    • Organizer
      統計関連学会連合大会
    • Related Report
      2018 Annual Research Report
  • [Book] Separating Information Maximum Likelihood Method for High-Frequency Data.2018

    • Author(s)
      Kunitomo, N., Sato, S. and Kurisu, D.
    • Total Pages
      124
    • Publisher
      Springer
    • Related Report
      2018 Annual Research Report
  • [Remarks] 研究代表者ホームページ

    • URL

      https://sites.google.com/site/daisukekurisu/home

    • Related Report
      2019 Annual Research Report

URL: 

Published: 2018-08-27   Modified: 2024-03-26  

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