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Bridge Filter: A New Filter Class

Research Project

Project/Area Number 15K13010
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeMulti-year Fund
Research Field Economic statistics
Research InstitutionHiroshima University

Principal Investigator

Yamada Hiroshi  広島大学, 社会科学研究科, 教授 (90292078)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsbridge filter / ブリッジ・フィルター / ブリッジ回帰 / HPフィルター / ESフィルター / トレンド / l1トレンドフィルター / l1トレンド・フィルター / 調整パラメーター
Outline of Final Research Achievements

This research project intends to introduce a new trend filtering method, which has the Hodrick-Prescott (HP) filtering method of Hodrick and Prescott (1997, Journal of Money, Credit and Banking, 29, 1, 1-16) and the l1 trend filtering method of Kim et al. (2009, SIAM Review, 51, 339-360) as special cases. The relation between the HP filtering method, the l1 trend filtering method, and the new filtering method corresponds to the relation between the ridge regression, the lasso (least absolute shrinkage and selection operator) regression, and the bridge regression. For this reason, we refer to the new filtering method as bridge filtering method. The bridge filtering method enables us to estimate the trend component of a time series with less-sudden structural changes. In this project, after introducing the new filtering method, we show some of its properties, a method for specifying its tuning parameter, and an empirical illustration of how it may be applied.

Report

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

    (15 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (2 results) Journal Article (8 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 8 results,  Acknowledgement Compliant: 4 results) Presentation (5 results) (of which Int'l Joint Research: 3 results,  Invited: 1 results)

  • [Int'l Joint Research] Kookmin University(韓国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Kookmin University(韓国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Why Does the Trend Extracted by the Hodrick-Prescott Filtering Seem to be More Plausible Than the Linear Trend?2018

    • Author(s)
      Yamada, H.
    • Journal Title

      Applied Economics Letters

      Volume: 25 Issue: 2 Pages: 102-105

    • DOI

      10.1080/13504851.2017.1299095

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Several Least Squares Problems Related to the Hodrick-Prescott Filtering2018

    • Author(s)
      Yamada, H.
    • Journal Title

      Communications in Statistics - Theory and Methods

      Volume: 47 Issue: 5 Pages: 1022-1027

    • DOI

      10.1080/03610926.2017.1285934

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Small But Practically Useful Modification to the Hodrick-Prescott Filtering: A Note2017

    • Author(s)
      Yamada, H.
    • Journal Title

      Communications in Statistics - Theory and Methods

      Volume: 46 Issue: 17 Pages: 8430-8434

    • DOI

      10.1080/03610926.2016.1179764

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The Frisch-Waugh-Lovell Theorem for the Lasso and the Ridge Regression2017

    • Author(s)
      Yamada, H.
    • Journal Title

      Communications in Statistics - Theory and Methods

      Volume: 46 Issue: 21 Pages: 10897-10902

    • DOI

      10.1080/03610926.2016.1252403

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Estimating the Trend in US Real GDP Using the l1 Trend Filtering2017

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Applied Economics Letters

      Volume: 24 Issue: 10 Pages: 713-716

    • DOI

      10.1080/13504851.2016.1223811

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Measuring the US NAIRU as a Step Function2016

    • Author(s)
      Hiroshi Yamada, Gawon Yoon
    • Journal Title

      Empirical Economics

      Volume: 51 Issue: 4 Pages: 1679-1688

    • DOI

      10.1007/s00181-015-1048-2

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Selecting the tuning parameter of the l1 trend filter2016

    • Author(s)
      Hiroshi Yamada, Gawon Yoon
    • Journal Title

      Studies in Nonlinear Dynamics & Econometrics

      Volume: 20 Issue: 1 Pages: 97-105

    • DOI

      10.1515/snde-2014-0089

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Ridge Regression Representations of the Generalized Hodrick-Prescott Filter2015

    • Author(s)
      Hiroshi Yamada
    • Journal Title

      Journal of the Japan Statistical Society

      Volume: 45 Pages: 121-128

    • NAID

      130005266626

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Bridge Filtering2018

    • Author(s)
      Yamada, H.
    • Organizer
      Shiga University
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Bridge Filtering2018

    • Author(s)
      Yamada, H.
    • Organizer
      The 2018 HU-HUE-SMU Tripartite Conference
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Bridge Filtering2017

    • Author(s)
      Yamada, H.
    • Organizer
      University of York
    • Related Report
      2017 Annual Research Report
  • [Presentation] Whittaker-Henderson Graduation Provides BLUP2016

    • Author(s)
      Hiroshi Yamada
    • Organizer
      2016 HU-HUE-SMU Tripartite Conference
    • Place of Presentation
      シンガポールマネジメント大学, シンガポール
    • Year and Date
      2016-03-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 1.A Small But Practically Useful Modification to the l1 Trend Filtering2016

    • Author(s)
      Hiroshi Yamada
    • Organizer
      12th International Symposium on Econometric Theory and Applications (SETA)
    • Place of Presentation
      ワイカト大学, ニュージーランド
    • Year and Date
      2016-02-17
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research

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Published: 2015-04-16   Modified: 2022-02-22  

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