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Statistical inferences by semiparametric empirical likelihood methods

Research Project

Project/Area Number 15330040
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

NISHIYAMA Yoshihiko  Kyoto University, Institute of economic research, professor, 経済研究所, 教授 (30283378)

Co-Investigator(Kenkyū-buntansha) MORIMUNE Kimio  Kyoto University, Graduate school of economics, professor, 経済研究所, 教授 (20109078)
TANIZAKI Hisashi  Kobe University, Graduate school of economics, professor, 経済学研究科, 教授 (60248101)
HITOMI Kohtaro  Kyoto institute of technology, department of engineering, associate professor, 工芸学部, 助教授 (00283680)
Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥6,800,000 (Direct Cost: ¥6,800,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2003: ¥3,300,000 (Direct Cost: ¥3,300,000)
KeywordsSemiparametric methods / EL estimation / Moment conditions / Bootstrap / Bootstrap / Empirical likelihood / First order asymptotics / GMM / Heterogeneity test / Higher order asymptotics / Semiparametric estimation / Semiparametric Paradox / 経験尤度関数 / 漸近理論 / シュミレーション / 時系列解析 / 因果性 / ジャンプ付拡散過程 / セミパラメトリック推定 / シミュレーション
Research Abstract

Hitomi studied the bias of the empirical likelihood estimators by a Monte Carlo simulation, where standard linear model setup is used as the DGP, also comparing with the ET and GMM estimators.
Hitomi and Nishiyama (2005) investigated how a puzzling situation in terms of asymptotic variance occurs in semiparametric settings. It is normally the case that if nuisance parameters are estimated and plugged in, the asymptotic variance of the parameters of interest tends to be large, but there are cases the opposite is true. They provided a necessary and sufficient condition when it happens.
Nishiyama and Robinson (2005) obtained a valid Edgeworth expansion of order two for the semiparametric averaged derivatives and checked the difference from the Bootstrap distribution.
Liu and Nishiyama studied the performance of empirical likelihood estimators of diffusion processes with jumps by simulation. It is shown that EL performs better than the GMM for some parameters.
Nishiyama, Liu and Sueishi (2005) compared EL, GMM estimators for semiparametric models which include nonparametric functionals in the moment condition.
Morimune and Hoshino proposed to use Bootstrap when data includes heterogeneous observations.
Tanizaki et.al. studied small sample power properties of Cressie-Read power divergence test.

Report

(4 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (35 results)

All 2005 2004 2003 Other

All Journal Article (31 results) Publications (4 results)

  • [Journal Article] Testing Homogeneity of A Large Data Set By Bootstrapping2005

    • Author(s)
      Morimune, K, Hoshino, Y
    • Journal Title

      Proceedings of MODSIMO5 (CD-ROM)

      Pages: 2005-2005

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Paradox of Semiparametric Estimators with Infinite Dimensional Nuisance Parameters.2005

    • Author(s)
      Kohtaro Hitomi, Yoshihiko Nishiyama
    • Journal Title

      Proceedings of MODSIMO5 (CD-ROM)

      Pages: 821-827

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Bootstrap and the Edgeworth Correction for Semiparametric Averaged Derivatives.2005

    • Author(s)
      Nishiyama, Y., P.M.Robinson
    • Journal Title

      Econometrica 73.3

      Pages: 903-948

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Semiparametric Estimators for Conditional Moment Restrictions Containing Nonparametric Functions : Comparison of GMM and Empirical Likelihood Procedures2005

    • Author(s)
      Nishiyama, Y., Q.F.Liu, N.Sueishi
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

      Pages: 926-932

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Empirical Likelihood Estimation of Continuous-Time Models with Conditional Moment Restrictions.2005

    • Author(s)
      Liu Q.F., Y.Nishiyama
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

      Pages: 886-892

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Estimation of Levy Processes in Mathematical Finance : A Comparative Study.2005

    • Author(s)
      Sueishi, N, Y.Nishiyama
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

      Pages: 953-959

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Testing Homogeneity of A Large Data Set By Bootstrapping2005

    • Author(s)
      Morimune, K, Hoshino, Y
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A Paradox of Semiparametric Estimators with Infinite Dimensional Nuisance Parameters.2005

    • Author(s)
      Kohtaro Hitomi, Yoshihiko Nishiyama
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

      Pages: 821-827

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Bootstrap and the Edgeworth Correction for Semiparametric Averaged Derivatives.2005

    • Author(s)
      Nishiyama, Y., P.M.Robinson
    • Journal Title

      Econometrica 73-3

      Pages: 903-948

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Estimation of Levy Processes in Mathematical Finance : A Comparative Study.2005

    • Author(s)
      Sueishi, N., Y.Nishiyama
    • Journal Title

      Proceedings of MODSIM 05 (CD-ROM)

      Pages: 953-959

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Bootstrap and the Edgeworth Correction for Semiparametric Averaged Derivatives2005

    • Author(s)
      Nishiyama Y., P.M.Robinson
    • Journal Title

      Econometrica 73.3

      Pages: 903-948

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Semiparametric Estimators for Conditional Moment Restrictions Containing Nonparametric Functions : Comparison of GMM and Empirical Likelihood Procedures2005

    • Author(s)
      Nishiyama, Y., Q.F.Liu, N.Sueishi
    • Journal Title

      Proceedings of MODSIM05.

      Pages: 926-932

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Empirical Likelihood Estimation of Continuous-Time Models with Conditional Moment Restrictions2005

    • Author(s)
      Liu Q.F., Y.Nishiyama
    • Journal Title

      Proceeding of MODSIM05

      Pages: 886-892

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Testing Homogeneity of A Large Data Set By Bootstrapping2005

    • Author(s)
      Morimune, K, Y.Hoshino
    • Journal Title

      Proceedings of MODSIM05

      Pages: 131-136

    • Related Report
      2005 Annual Research Report
  • [Journal Article] A Paradox of semiparametric Estimators with infinite Dimensional Nuisance Parameters2005

    • Author(s)
      Hitomi, K., Y.Nishiyama
    • Journal Title

      Proceedings of MODSIM05

      Pages: 821-827

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Consistent Nonparametric Test for Causality up to K-th Moment2005

    • Author(s)
      Y.Nishiyama
    • Journal Title

      Proceedings of Nonparametric and Semiparametric Statistics

      Pages: 95-118

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A paradox of Semiparametric Estimators with Infinite Dimentional Nuisance Parameters2005

    • Author(s)
      K.Hitomi
    • Journal Title

      Proceedings of Nonparametric and Semiparametric Statistics

      Pages: 3-22

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On Small Sample Properties of Permutation Tests : Independence Between Two Samples 1.2004

    • Author(s)
      Hisashi Tanizaki
    • Journal Title

      International Journal of Pure and Applied Mathematics 13,2

      Pages: 235-243

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Power Comparison of Empirical Likelihood Ratio Tests : Small Sample Properties Through Monte Carlo Studies.2004

    • Author(s)
      Hisashi Tanizaki
    • Journal Title

      Kobe University Economic Review 50

      Pages: 13-25

    • NAID

      110004304526

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nonparametric Statistical inference in the Production Function.2004

    • Author(s)
      Konishi Y., Y.Nishiyama, T.Ando, Y.Kawasaki
    • Journal Title

      Japanese Journal of Applied Statistics, 33.2

      Pages: 157-179

    • NAID

      10014067177

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Minimum Normal Approximation Error Bandwidth Selection for Semiparametric Averaged Derivatives2004

    • Author(s)
      Nishiyama Y
    • Journal Title

      Mathematics and Computers in Simulation 64

      Pages: 53-61

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] On Small Sample Properties of Permutation Tests : Independence Between Two Samples 1.2004

    • Author(s)
      Hisashi Tanizaki
    • Journal Title

      International Journal of Pure and Applied Mathematics 13-2

      Pages: 235-243

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Nonparametric Statistical inference in the Production Function.2004

    • Author(s)
      Konishi Y., Y.Nishiyama, T.Ando, Y.Kawasaki
    • Journal Title

      Japanese Journal of Applied Statistics 33-2

      Pages: 157-179

    • NAID

      10014067177

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Minimum Normal Approximation Error Bandwidth Selection for Semiparametric Averaged Derivatives2004

    • Author(s)
      Nishiyama Y.
    • Journal Title

      Mathematics and Computers in Simulation 64

      Pages: 53-61

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Empirical Likelihood, Exponential Tilting, and GMM Estimators with a number of Moment Conditions.2003

    • Author(s)
      K.Hitomi
    • Journal Title

      Proceedings of MODSIMO3 (CD-ROM)

      Pages: 2003-2003

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bootstrap bandwidth and kernel order selection for density weighted averages,2003

    • Author(s)
      Nishiyama Y.
    • Journal Title

      Proceedings of MODSIMO3 (CD-ROM)

      Pages: 1392-1397

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Empirical Likelihood, Exponential Tilting, and GMM Estimators with a number of Moment Conditions.2003

    • Author(s)
      K.Hitomi
    • Journal Title

      Proceedings of MODSIM 03 (CD-ROM)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bootstrap bandwidth and kernel order selection for density weighted averages.2003

    • Author(s)
      Nishiyama Y.
    • Journal Title

      Proceedings of MODSIM 03 (CD-ROM)

      Pages: 1392-1397

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Kernel order selection by minimum bootstrapped MSE for density weighted averages

    • Author(s)
      Y.Nishiyama
    • Journal Title

      Mathematics and Computers in Simulation (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Empirical Likelihood, exponential tilting and GMM estimators with a number of moment conditions

    • Author(s)
      K.Hitomi
    • Journal Title

      Mathematics and computers in simulation (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Journal Article] The Bootstrap and the Edgeworth Corrections for Semiparametric Averaged Derivative (with P.M.Robinson)

    • Author(s)
      Y.Nishiyama
    • Journal Title

      Econometrica (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Publications] K.Hitomi: "Empirical Likelihood, exponential tilting, and GMM estimators with a number of moment conditions"Proceedings of MODSIM 2003. 3. 1386-1391 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Nishiyama: "Bootstrap bandwidth and kernel order selection for density weighted averages"Proceedings of MODSIM 2003. 3. 1392-1397 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Nishiyama: "Statistical theory of rank size rule regression under Pareto distribution"Proceedings of iEMSs. (Forthcoming). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] K.Hitomi: "Empirical Likelihood, exponential tilting, and GMM estimators with a number of moment conditions"Mathematics and computers in simulation. (Forthcoming). (2004)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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