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Separate inference induced from the structure of a statistical model

Research Project

Project/Area Number 08680340
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionThe Institute of Statistical Mathematics

Principal Investigator

YANAGIMOTO Takemi  The Institute of Statistical Mathematics, Department of Interdisciplinary Statistics, Professor, 領域統計研究系, 教授 (40000195)

Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥1,700,000 (Direct Cost: ¥1,700,000)
Fiscal Year 1997: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
KeywordsConditional MLE / GEE / Marginal Likelihood / Empirical Bays method / MLE / 直交性 / 推定関数の不変性 / 多次元母数 / スタイン推定量 / 対数線型モデル
Research Abstract

1) It becomes clear that a useful model in practical applications involves in more parameters (parameters of high-demensions) than it is previously believed. A low-dimensional parameter is unble to describe a practical situation. Here we should note that the crude MLE behaves unfavorably in estimating a high-dimensional parameter. My previous efforts went to modifying the MLE through the conditional MLE,the estimating equation.
2) The present research aimed at introducing a new family of distributions named the ruled exponential distributions. Then analytical properties of the family and their applications were discussed. A simple estimating function is investigated in relation with a family of distributions.
3) More explicitly, the MLE based on a separate likelihood, mainly in the ruled exponential family, was pursued. Further, the present research extended to an obvious application to the estimating function and also to a modification of the family.
4) A challenging topic is to unify the generalized regression model and the Stein type estimator. The present approach looks promising. We are making efforts to contributing this important problem, though a bulk of difficulties arise.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] Nishii, R., Yanagimoto, T.and Kusanobu, K.: "The use of univariate Bayes regression models for spatial smoothing." Computational Statistics & Data Analysis. vol.24,No.3. 321-336 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yanagimoto, T.and Hiejima, Y.: "Separate optimum estimating function for the ruled exponential family." Insititute of Mathematical Statistics Lecture Notes-Monograph Series.Selected Proceedings of the Symposum on Estimating Function. vol.32. 457-462 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] 柳本 正勝、柳本 武美: "1人当たり穀物生産量減少の時代-FAO農業生産年報傾向分析結果による-" 世界の農林水産. 2月号. 26-32 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Nishii, R., Yanagimoto, T.and Kusanobu, K.: "The use of univariate Bays regression models for spatial smoothing." Computational Statistics & Data Analysis. 24 (3). 321-336 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yanagimoto, T.and Hiejima, Y.: "Separate optimum estimating function for the ruled exponential family" Institute of Mathematical Statistics Lecture Notes-Monograph Series., Selected Proceedings of the Symposum on Estimating Function. 32. 457-462 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Yanagimoto, M.and Yanagimoto, T.: "Production amount of cereals per capita is decreasing in latest years." World Agricultrue, Forestry and fisheries. 26-32 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] Nishii,R., Yanagimoto,T. and Kusanobu,K.: "The use of univariate Bayes regression models for spatisl smoothing" Computational Statistics & Data Analysis. vol.24, No.3. 321-336 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] Yanagimoto,T. and Hiejima,Y.: "Separate optimum estimating function for the ruled exponential family." Insititute of Mathematical Statistics Lecture Notes-Monograph Series. Selected Proceedings of the Symposum on Estimating Function. vol.32. 457-462 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] 柳本 正勝、柳本 武美: "1人当たり穀物生産量減少の時代 -FAO農業生産年報傾向分析結果による-" 世界の農林水産. 2月号. 26-32 (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] Yanagimoto,T.: "Discrete first passage time distribution for describing inequality among individuals" Litetime Pata (eds. N.P,Jewell et al.). 377-383 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Nishi and Yanagimoto,T.: "The Use of unirariate Bayes regression model for spacial smoothing" Computational Statistics and Data Analysis. (印刷中).

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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