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Robust semiparametric model selection using the estimating functions

Research Project

Project/Area Number 15500179
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionChiba University (2004-2005)
Obihiro University of Agriculture and Veterinary Medicine (2003)

Principal Investigator

WANG Jinfang  Chiba University, Graduate School of Science and Technology, associate professor, 大学院・自然科学研究科, 助教授 (10270414)

Project Period (FY) 2003 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2005: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2004: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2003: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsartificial likelihood / Bayesian inference / bootstrap / conditional independence / estimating function / generalized linear model / graphical modeling / propensity score / semiparametric inference / Logistic regression / robust algorithm / confidence interval / likelihood inference / quasi-likelihood / cofidence intervals / normalizing transformation
Research Abstract

Main results achieved include
(1) Wang, J. (2006). Quadratic artificial likelihood functions using estimating functions. Scandinavian Journal of Statistics, 33(2), 16-35. [Summary : This paper studies an analogue of the likelihood inference in the framework of optimal estimating functions. It proposes a quadratic artificial likelihood function for an optimal estimating function. The artificial likelihood function is shown to resemble a genuine likelihood function in a number of respects.]
(2) Wang, J. and Taneichi, N. (2006). Normalizing unbiased estimating functions. Journal of Statistical Planning and Inference, 136(3), 689-704. [Summary : The paper considers a method for setting second-order accurate confidence intervals for a scalar parameter by applying normalizing transformations to unbiased estimating functions.]
(3) Jing, P. and Wang, J. (2006). Testing the equality of multivariate distributions using the bootstrap and integrated empirical processes. Communications in Statistics-Theory and Methods, 35(3), 661-670. [Summary : The paper introduces some projected integrated empirical processes for testing the equality of two multivariate distributions. The bootstrap is used for determining the approximate critical values. The bootstrap test is shown to be consistent.]
(4) Jinfang Wang (2006). The coin algebra for conditional independence. Kokyuroku of the Research Institute for Mathematical Sciences, Kyoto University, 「Statistical Conditional Inference and Its Related Topics」 (to appear). [Summary : A new universal algebra, the coin algebra, is introduced to statisticl causal inference. This papers focuses on the foudations of the coin algebra and properties on probabilistic conditional independence.]

Report

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

    (30 results)

All 2006 2005 2004 2003 Other

All Journal Article (22 results) Book (5 results) Publications (3 results)

  • [Journal Article] Normalizing unbiased estimating functions2006

    • Author(s)
      Wang, J, Taneichi N.
    • Journal Title

      Journal of Statistical Planning and Inference 136・3

      Pages: 689-704

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Quadratic artificial likelihood functions using estimating functions2006

    • Author(s)
      Wang, J.
    • Journal Title

      Scandinavian Journal of Statistics 33・2

      Pages: 16-35

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Testing the equality of multivariate distributions using the bootstrap and integrated empirical processes2006

    • Author(s)
      Jing, P., Wang, J.
    • Journal Title

      Communications in Statistics-Theory and Methods 35・3

      Pages: 661-670

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] 児童の英語力テストの結果に見る小学校英語の効果2006

    • Author(s)
      勝山ひとみ, 西垣知佳子, 汪金芳
    • Journal Title

      関東甲信越英語教育学会研究紀要 20

      Pages: 113-124

    • NAID

      110009590349

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Annual Research Report 2005 Final Research Report Summary
  • [Journal Article] Statistical Conditional Inference and Its Related Topics2006

    • Author(s)
      Wang, J.
    • Journal Title

      京都大学数理解析研究所講研究録 (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bayesian generalized linear models using marginal likelihoods2006

    • Author(s)
      Wang, J.
    • Journal Title

      Proceedings of the 17th COMPSTAT Symposium of the IASC (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 丸善2006

    • Author(s)
      汪金芳(分担執筆)
    • Journal Title

      数理科学事典 第2版,「部門V3.2 標本調査」 (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Normalizing unbiased estimating functions.2006

    • Author(s)
      Wang, J., Taneichi, N.
    • Journal Title

      Journal of Statistical Planning and Inference 136(3)

      Pages: 689-704

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Quadratic artificial likelihood functions using estimating functions.2006

    • Author(s)
      Wang, J.
    • Journal Title

      Scandinavian Journal of Statistics 33(2)(to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Testing the equality of multivariate distributions using the bootstrap and integrated empirical processes.2006

    • Author(s)
      Jing, P., Wang, J.
    • Journal Title

      Communications in Statistics-Theory and Methods 35(3)

      Pages: 661-670

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] A study on the effect of English Teaching in Public Elementary Schools (in Japanese)2006

    • Author(s)
      H.Katsuyama, C.Nishigaki, J.Wang
    • Journal Title

      KATE Bulletin 20

      Pages: 113-124

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The coin algebra for conditional independence.2006

    • Author(s)
      Jinfang Wang
    • Journal Title

      Kokyuroku of the Research Institute for Mathematical Sciences, Kyoto University, 「Statistical Conditional Inference and Its Related Topics」 (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Bayesian generalized linear models using marginal likelihoods2006

    • Author(s)
      Wang, J.
    • Journal Title

      Proceedings of the 17th COMPSTAT Symposium of the IASC, 28 August-1 September 2006, Rome, Italy (to appear)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Normalizing unbiased estimating functions.2006

    • Author(s)
      Wang, J., Taneichi, N.
    • Journal Title

      Journal of Statistical Planning and Inference 136・3

      Pages: 689-704

    • Related Report
      2005 Annual Research Report
  • [Journal Article] The coin algebra for conditional independence2006

    • Author(s)
      Jinfang Wang
    • Journal Title

      京都大学数理解析研究所講研究録"Statistical Conditional Inference and Its Related Topics"

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Marginal likelihood methods for generalized linear models2005

    • Author(s)
      Jinfang Wang
    • Journal Title

      The 55th Session of the International Statistical Institute, Abstract Book,5-12 April,2005,Sydney, Australia

      Pages: 50-50

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Robust iterative algorithms for estimating equations2004

    • Author(s)
      Wang, J.
    • Journal Title

      Book of Abstracts of 16th Symposium of IASC on Computational Statistics

      Pages: 341-341

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A Bayesian generalized linear model using the cross-validation2004

    • Author(s)
      Wang, J.
    • Journal Title

      Proceedings of the Eighth China-Japan Symposium on Statistics

      Pages: 295-299

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Accurate confidence intervals using unbiased estimating functions2004

    • Author(s)
      Wang, J.
    • Journal Title

      Proceedings of the Third International Conference on Information

      Pages: 47-50

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 正規化変換に基づく超幾何分布の近似2003

    • Author(s)
      大内田征二, 種市信裕, 汪金芳
    • Journal Title

      計算機統計学 16(2)

      Pages: 125-131

    • NAID

      110001238547

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Approximations of the hyper-geometric distributions using the normalizing transformations (in Japanese)2003

    • Author(s)
      S.Outida, N.Taneiti, J.Wang
    • Journal Title

      Journal of the Japanese Society of Computational Statistics 16(2)

      Pages: 125-131

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Normalizing unbiased estimating functions

    • Author(s)
      Wang, J., Taneichi, N.
    • Journal Title

      Journal of Statistical Planning and Inference (under press)

    • Related Report
      2004 Annual Research Report
  • [Book] 統計学とその応用(放送大学教材),第11章,生存時間解析2005

    • Publisher
      放送大学教育振興会
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 統計学とその応用(放送大学教材),第15章、計算統計学2005

    • Author(s)
      田栗正章, 汪金芳(分担執筆)
    • Publisher
      放送大学教育振興会
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 統計学とその応用(放送大学教材)2005

    • Author(s)
      田栗正章, 江金芳(分担執筆者)
    • Total Pages
      405
    • Publisher
      放送大学教育振興会
    • Related Report
      2004 Annual Research Report
  • [Book] Numerical Methods for Nonlinear Estimating Equations2003

    • Author(s)
      Christopher small, Jinfang Wang
    • Total Pages
      309
    • Publisher
      Clarendon Press : Oxford
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Book] 統計科学のフロンティア : 新しい計算手法と統計学,第11巻,計算統計I-確率計算の新しい手法 : ブートストラップ法の基礎2003

    • Author(s)
      汪金芳, 田栗正章
    • Publisher
      岩波書店
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Publications] Wang, J., Taneichi, N.: "Confidence intervals using normalized estimating functions"Bulletin of the International Statistical Institute 54th Session, Contributed Papers. Vol.LX. 607-608 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Christopher Small, Jinfang Wang: "Numerical Methods for Nonlinear Estimating Equations"Clarendon Press : Oxford. 309 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 汪 金芳, 田栗正章: "統計科学のフロンティア:新しい計算手法と統計学,第11巻,計算統計I-確率計算の新しい手法:ブートストラップ法の基礎"岩波書店. 196(64) (2003)

    • Related Report
      2003 Annual Research Report

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

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