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Comparison of shrinkage estimators under alternative criteria

Research Project

Project/Area Number 22530208
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Economic statistics
Research InstitutionKobe University

Principal Investigator

OHTANI Kazuhiro  神戸大学, 大学院・経済学研究科, 教授 (00106626)

Project Period (FY) 2010 – 2012
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords統計学 / 計量経済学 / 予備検定推定量 / 平均自乗誤差 / Stein 型推定量 / 平均自乗誤差推定量 / 多変量 t 分布 / リッジ回帰推定量 / 不等式制約 / 混合型予備検定推定量 / 決定係数 / Pitmanの近さ規準 / LINEX損失関数 / 自由度修正決定係数 / 加重平均推定量
Research Abstract

In this research, assuming the quadratic and non-quadratic loss functions, we formulate the alternative risk functions, and examine the risk performances of the shrinkage and pre-test shrinkage estimators. We derive the exact formulas of the risk functions, and show various properties of the risk functions of shrinkage and pre-test shrinkage estimators under alternative loss functions.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (17 results)

All 2013 2012 2011 2010 Other

All Journal Article (14 results) (of which Peer Reviewed: 5 results) Remarks (3 results)

  • [Journal Article] 誤差項が多変量 t 分布に従うときの MMSE 推定量の属で構成された同質予備検定推定量の MSE パフォーマンス2013

    • Author(s)
      大谷一博
    • Journal Title

      国民経済雑誌

      Volume: 第207巻、第2号(2月) Pages: 1-10

    • Related Report
      2012 Final Research Report
  • [Journal Article] 誤差項が多変量 t 分布に従うときの MMSE 推定量の族で構成された同質予備検定推定量の MSE パフォーマンス2013

    • Author(s)
      大谷 一博
    • Journal Title

      国民経済雑誌

      Volume: 207 Pages: 1-10

    • NAID

      110009552739

    • Related Report
      2012 Annual Research Report
  • [Journal Article] MSE performance of a heterogeneous pre-test ridge regression estimator2012

    • Author(s)
      Namba, A. and K. Ohtani
    • Journal Title

      Communications in Statistics-Theory and Methods

      Volume: Vol. 41 Pages: 1692-1700

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Small sample properties of a pre-test Stein-rule estimator for each individual regression coefficient under an alternative null hypothesis in the pre-test2012

    • Author(s)
      Namba, A. and K. Ohtani
    • Journal Title

      Kobe University Economic Review

      Volume: Vol.58 Pages: 1-9

    • NAID

      110009552543

    • Related Report
      2012 Final Research Report
  • [Journal Article] Small sample properties of a pre-test Stein-rule estimator for each individual regression coefficient under an alternative null hypothesis in the pre-test2012

    • Author(s)
      Namba, Akio
    • Journal Title

      Kobe University Economic Review

      Volume: 58 Pages: 1-9

    • Related Report
      2012 Annual Research Report
  • [Journal Article] MSE performance of a heterogeneous pre-test ridge regression estimator2012

    • Author(s)
      Namba, Akio
    • Journal Title

      Communications in Statistics-Theory and Methods

      Volume: 41 Issue: 9 Pages: 1692-1700

    • DOI

      10.1080/03610926.2010.549990

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 省略された説明変数があるときの Pitman の近さ規準のもとでの決定係数と自由度修正決定係数の比較2011

    • Author(s)
      大谷一博
    • Journal Title

      国民経済雑誌

      Volume: 第203巻、第2号(2月) Pages: 1-7

    • NAID

      110008092046

    • Related Report
      2012 Final Research Report
  • [Journal Article] MSE performance of a homogeneous pre-test estimator consisting of a family of MMSE estimators2011

    • Author(s)
      Ohtani, K.
    • Journal Title

      Kobe University Economic Review

      Volume: Vol.57

    • NAID

      110009004167

    • Related Report
      2012 Final Research Report 2011 Annual Research Report
  • [Journal Article] MSE performance of a heterogeneous pre-test ridge regression estimator2011

    • Author(s)
      Namba, A., K.Ohtani
    • Journal Title

      Communications in Statistics-Theory and Methods

      Volume: 41(近刊)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 省略された説明変数があるときのPitmanの近さ規準のもとでの決定係数と自由度修正決定係数の比較2011

    • Author(s)
      大谷一博
    • Journal Title

      国民経済雑誌

      Volume: 203 Pages: 1-7

    • NAID

      110008092046

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
  • [Journal Article] Risk performance of a pre-test ridge regression estimator under the LINEX loss function when each individual regression coefficient is estimated2010

    • Author(s)
      Namba, A. and K. Ohtani
    • Journal Title

      Journal of Statistical Computation and Simulation

      Volume: Vol.80, No.3 Pages: 255-262

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Risk performance of a weighted average estimator consisting of the ridge regression and OLS estimators under Linex loss2010

    • Author(s)
      Ohtani, K.
    • Journal Title

      Kobe University Economic Review

      Volume: Vol.56 Pages: 1-11

    • NAID

      120002923549

    • Related Report
      2012 Final Research Report
  • [Journal Article] Risk Performance of a Pre-Test Ridge Regression Estimator under the LINEX Loss Function when Each Individual Regression Coefficient is estimated2010

    • Author(s)
      Namba, A., K.Ohtani
    • Journal Title

      Journal of Statistical Computation and Simulation

      Volume: 80 Pages: 255-262

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Risk performance of a weighted average estimator consisting of the ridge regression estimator and OLS estimators under Linex loss2010

    • Author(s)
      K.Ohtani
    • Journal Title

      Kobe University Economic Review

      Volume: 56 Pages: 1-11

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.econ.kobe-u.ac.jp/~ohtani/person.html

    • Related Report
      2012 Final Research Report
  • [Remarks] http://kuid.ofc.kobe-u.ac.jp/InfoSearch/

    • Related Report
      2012 Annual Research Report
  • [Remarks]

    • URL

      http://kuid.ofc.kobe-u.ac.jp/InfoSearch/

    • Related Report
      2011 Annual Research Report

URL: 

Published: 2010-08-23   Modified: 2019-07-29  

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