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Inference for many moment inequalities models

Research Project

Project/Area Number 15K03392
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Economic statistics
Research InstitutionThe University of Tokyo

Principal Investigator

KATO Kengo  東京大学, 大学院経済学研究科(経済学部), 准教授 (50549780)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords計量経済学 / モーメント不等式 / モーメント不等式モデル / 部分識別 / 高次元中心極限定理
Outline of Final Research Achievements

A moment inequality model is a model where the parameter of interest is defined by moment inequality restrictions, and has attracted much interest in the recent econometrics literature. In this research project, I have worked on developing inference methods for parameters defined by moment inequalities the number of which may exceed the sample size. Specifically, I first developed probabilistic techniques required for the theoretical analysis, and then building upon such probabilistic results, I proposed inference methods based on max type statistics and proved their theoretical validity. Finally, I also conducted numerical studies to verify the practical performance of the proposed inference methods.

Report

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

    (37 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (1 results) Journal Article (9 results) (of which Int'l Joint Research: 7 results,  Peer Reviewed: 9 results,  Open Access: 2 results,  Acknowledgement Compliant: 3 results) Presentation (25 results) (of which Int'l Joint Research: 11 results,  Invited: 22 results) Remarks (2 results)

  • [Int'l Joint Research] MIT/University of California Los Angels(米国)

    • Related Report
      2017 Annual Research Report
  • [Journal Article] PCA-based estimation for functional linear regression with functional responses2018

    • Author(s)
      Imaizumi Masaaki、Kato Kengo
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 163 Pages: 15-36

    • DOI

      10.1016/j.jmva.2017.10.001

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Valid post-selection inference in high-dimensional approximately sparse quantile regression models2018

    • Author(s)
      Alexandre Belloni, Victor Chernozhukov, and Kengo Kato
    • Journal Title

      Journal of American Statistical Association

      Volume: 印刷中 Issue: 526 Pages: 749-758

    • DOI

      10.1080/01621459.2018.1442339

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A simple method to construct confidence bands in functional linear regression2018

    • Author(s)
      Masaaki Imaizumi and Kengo Kato
    • Journal Title

      Statistica Sinica

      Volume: 印刷中

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] High-dimensional quantile regression2017

    • Author(s)
      Belloni, A., Chernozhukov, V., and Kato, K.
    • Journal Title

      Handbook of Quantile Regression

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Quantile regression methods for longitudinal data2017

    • Author(s)
      Galvao, A. and Kato, K.
    • Journal Title

      Handbook of Quantile Regression

      Volume: 印刷中

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Empirical and multiplier bootstraps for suprema of empirical processes of increasing complexity2016

    • Author(s)
      Chernozhukov, V., Chetverikov, D., and Kato, K.
    • Journal Title

      Stochastic Processes and Their Applications

      Volume: 印刷中

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Smoothed quantile regression for panel data2016

    • Author(s)
      Galvao, A.F. and Kato, K.
    • Journal Title

      Journal of Econometrics

      Volume: 印刷中 Issue: 1 Pages: 92-112

    • DOI

      10.1016/j.jeconom.2016.01.008

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Central limit theorems and bootstrap in high dimensions2016

    • Author(s)
      Chernozhukov, V., Chetverikov, D., and Kato, K.
    • Journal Title

      Annals of Probability

      Volume: 印刷中

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Some new asymptotic theory for least squares series: Pointwise and uniform results2015

    • Author(s)
      Belloni, A., Chernozhukov, V., Chetverikov, D., and Kato, K.
    • Journal Title

      Journal of Econometrics

      Volume: 186 Issue: 2 Pages: 345-346

    • DOI

      10.1016/j.jeconom.2015.02.014

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Presentation] CLT and bootstrap for sample averages and incomplete U-statistics in high dimensions2018

    • Author(s)
      Kengo Kato
    • Organizer
      Cornell University Department of Statistical Science Seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Inference for measurement error models2018

    • Author(s)
      Kengo Kato
    • Organizer
      University of Illinios Urbana-Champaign Department of Economics Seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] CLT and bootstrap in high dimensions, with extensions to empirical and U-processes2018

    • Author(s)
      Kengo Kato
    • Organizer
      University of Illinios Urbana-Champaign Department of Statistics Seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Uniform confidence bands for nonparametric errors-in-variables regression2017

    • Author(s)
      Kengo Kato
    • Organizer
      University of California San Diego Econometrics Seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Uniform confidence bands for nonparametric errors-in-variables regression2017

    • Author(s)
      Kengo Kato
    • Organizer
      University of California Los Angels Econometrics Seminar
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Uniform confidence bands for nonparametric errors-in-variables regression2017

    • Author(s)
      Kengo Kato
    • Organizer
      Statistical Foundations of Uncertainty Quantification for Inverse Problems
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Bootstrap confidence bands for spectral estimation of Levy densities under high-frequency observations2017

    • Author(s)
      Kengo Kato
    • Organizer
      Workshop on Advances in Econometrics
    • Related Report
      2017 Annual Research Report
  • [Presentation] Uniform confidence bands in deconvolution with unknown error distribution2017

    • Author(s)
      Kengo Kato
    • Organizer
      Econometric Society European Meeting
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ノンパラメトリック変数誤差回帰に対する信頼バンド2017

    • Author(s)
      加藤賢悟
    • Organizer
      統計関連学会連合大会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Jackknife multiplier bootstrap: finite sample approximations to the U-process supremum with applications2017

    • Author(s)
      Kengo Kato
    • Organizer
      SNU-Tokyo Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A simple method to construct confidence bands in functional linear regression2017

    • Author(s)
      Kengo Kato
    • Organizer
      CMStatistics
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] CLT and bootstrap in high dimensions2016

    • Author(s)
      Kato, K.
    • Organizer
      University of Macau
    • Place of Presentation
      マカオ(中国)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] CLT and bootstrap in high dimensions2016

    • Author(s)
      Kato, K.
    • Organizer
      University of Illinois, Urbana-Champaign
    • Place of Presentation
      アーバナシャンペーン(アメリカ)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Gaussian approximation to the supremum of a general empirical process2016

    • Author(s)
      Kato, K.
    • Organizer
      University of Illinois, Urbana-Champaign
    • Place of Presentation
      アーバナシャンペーン(アメリカ)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Uniform confidence bands in deconvolution with unknown error distribution2016

    • Author(s)
      Kato, K.
    • Organizer
      University of Illinois, Urbana-Champaign
    • Place of Presentation
      アーバナシャンペーン(アメリカ)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Uniform confidence bands in deconvolution with unknown error distribution2016

    • Author(s)
      加藤賢悟
    • Organizer
      大規模統計モデリングと計算統計III
    • Place of Presentation
      東京大学(東京都・目黒区)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] Uniform confidence bands in deconvolution with unknown error distribution2016

    • Author(s)
      Kato, K.
    • Organizer
      韓国統計学会
    • Place of Presentation
      大田(韓国)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Testing many moment inequalities2016

    • Author(s)
      Kato, K.
    • Organizer
      CMStatistics
    • Place of Presentation
      セビリア(スペイン)
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Uniform confidence bands in deconvolution with unknown error distribution2016

    • Author(s)
      Kato, K.
    • Organizer
      London School of Economics
    • Place of Presentation
      ロンドン(イギリス)
    • Related Report
      2016 Research-status Report
    • Invited
  • [Presentation] High-dimensional quantile regression2015

    • Author(s)
      Kato, K.
    • Organizer
      New Directions in Quantile Regression
    • Place of Presentation
      ケンブリッジ(イギリス)
    • Year and Date
      2015-12-11
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Smoothed quantile regression for panel data2015

    • Author(s)
      Kato, K.
    • Organizer
      Waseda International Symposium
    • Place of Presentation
      早稲田大学(東京都新宿区)
    • Year and Date
      2015-11-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Testing many moment inequalities2015

    • Author(s)
      Kato, K.
    • Organizer
      厦門大学経済学部セミナー
    • Place of Presentation
      厦門(中国)
    • Year and Date
      2015-10-27
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Gaussian approximation of suprema of empirical processes2015

    • Author(s)
      Kato, K.
    • Organizer
      Workshop on New Directions in Stein's Method
    • Place of Presentation
      シンガポール(シンガポール)
    • Year and Date
      2015-05-26
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Gaussian approximation of suprema of empirical processes2015

    • Author(s)
      Kato, K.
    • Organizer
      Oberwolfach workshop: Probabilistic Techniques in Modern Statistics
    • Place of Presentation
      オーバーヴォルファッハ(ドイツ)
    • Year and Date
      2015-05-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Central limit theorem and bootstrap in high dimensions2015

    • Author(s)
      Kato, K.
    • Organizer
      Cemmap workshop: Advances in Microeconometrics
    • Place of Presentation
      ソウル(韓国)
    • Year and Date
      2015-05-07
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Remarks] 研究代表者のホームページ

    • URL

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

    • Related Report
      2017 Annual Research Report
  • [Remarks] Home page of Kengo Kato

    • URL

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

    • Related Report
      2015 Research-status Report

URL: 

Published: 2015-04-16   Modified: 2022-06-06  

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