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A study of estimation and inference of the density discontinuity

Research Project

Project/Area Number 17K13713
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Economic statistics
Research InstitutionUniversity of Tsukuba

Principal Investigator

YU Zhengfei  筑波大学, 人文社会系, 助教 (40774758)

Project Period (FY) 2017-04-01 – 2019-03-31
Project Status Completed (Fiscal Year 2018)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
KeywordsDensity discontinuity / Optimal bandwidth / Empirical likelihood / Manipulation test / Regression discontinuity / Minimum contrast problem / 経済統計学
Outline of Final Research Achievements

This research proposes optimal bandwidths for estimating and testing functions of density discontinuity, which can be used to check the validity of the regression discontinuity design, or to estimate agents’ response to the policy change that is related to certain functions of densities around a threshold. For the estimation problem, the proposed method allows different bandwidths on both sides of the threshold, and thus generates more precise estimate for the parameter of interest. For the testing problem, the optimal bandwidth minimizes the coverage error. When applied to the manipulation test for regression discontinuity designs, the proposed method yields the optimal bandwidth with an analytical form, which cannot be obtained by existing methods of density discontinuity inference. Monte Carlo simulations demonstrate advantageous finite sample size and power performances of the proposed methods.

Academic Significance and Societal Importance of the Research Achievements

The proposed optimal bandwidth selectors can be used to improve the performance of testing for the validity of regression discontinuity designs. They can also be used to improve the estimation of structural parameters in economic models related to discontinuous policy changes.

Report

(3 results)
  • 2018 Annual Research Report   Final Research Report ( PDF )
  • 2017 Research-status Report
  • Research Products

    (11 results)

All 2019 2018 2017 Other

All Int'l Joint Research (4 results) Journal Article (2 results) (of which Int'l Joint Research: 2 results,  Peer Reviewed: 2 results) Presentation (4 results) (of which Int'l Joint Research: 2 results,  Invited: 1 results) Remarks (1 results)

  • [Int'l Joint Research] Renmin University(中国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Syracuse University(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Renmin University(China)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Syracuse University(米国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Minimum Contrast Empirical Likelihood Inference of Discontinuity in Density2019

    • Author(s)
      Ma Jun、Jales Hugo、Yu Zhengfei
    • Journal Title

      Journal of Business & Economics Statistics

      Volume: Accepted

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Optimal bandwidth selection for local linear estimation of discontinuity in density2017

    • Author(s)
      Jales Hugo、Ma Jun、Yu Zhengfei
    • Journal Title

      Economics Letters

      Volume: 153 Pages: 23-27

    • DOI

      10.1016/j.econlet.2017.01.024

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Simple Semiparametric Estimation of Ordered Response Models2018

    • Author(s)
      Zhengfei Yu
    • Organizer
      Workshop on Advances in Econometrics
    • Related Report
      2018 Annual Research Report
  • [Presentation] Simple Semiparametric Estimation of Ordered Response Models2018

    • Author(s)
      Zhengfei Yu
    • Organizer
      Institute of Economics, Academia Sinica
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Minimum Contrast Empirical Likelihood Manipulation Testing for Regression Discontinuity Design2017

    • Author(s)
      Yu Zhengfei
    • Organizer
      Asian Meeting of the Econometric Society
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Minimum Contrast Empirical Likelihood Manipulation Testing for Regression Discontinuity Design2017

    • Author(s)
      Yu Zhengfei
    • Organizer
      International Association for Applied Econometrics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Remarks] Research paper in SSRN´s eLibrary

    • URL

      https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3219959

    • Related Report
      2018 Annual Research Report

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Published: 2017-04-28   Modified: 2022-02-21  

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