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多変量推定論と計算機統計学

Research Project

Project/Area Number 05640246
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Tsukuba

Principal Investigator

杉浦 成昭  筑波大学, 数学系, 教授 (20033805)

Co-Investigator(Kenkyū-buntansha) 南 就将  筑波大学, 数学系, 講師 (10183964)
神田 護  筑波大学, 数学系, 教授 (80023597)
北本 卓也  筑波大学, 数学系, 助手 (30241780)
佐々木 建昭  筑波大学, 数学系, 教授 (80087436)
赤平 昌文  筑波大学, 数学系, 教授 (70017424)
Project Period (FY) 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1993: ¥2,000,000 (Direct Cost: ¥2,000,000)
Keywords多変量解析 / Mardraの検定 / Sters推定量 / 縮小推定量
Research Abstract

正規分布の分散に対するStern推定量およびBrewster-zidek推定量の最良アフイン共変推定量に対するPrtman近接度を評価し平均の局外母数が1より多いときBrewster-zidek推定量の近接度が悪いことを示した。
多変量正規性の適合度検定について漸近分布の近似のよさについて検討しデータ解析を行った。シミュレーションが有効であることを示した。

Report

(1 results)
  • 1993 Annual Research Report
  • Research Products

    (5 results)

All Other

All Publications (5 results)

  • [Publications] N.Sugiura: "Pitman closeness of the equirariant ahrinkage estinators" Stat.Sci.& Datn Anal.301-311 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] N.Sugiura: "Asserinhy multinormlity and ordered covariance mutrices" Commun.in Statst.22. 643-654 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] M.Akahira: "The structure of the assumed model through the discretized likelihood estimator." J.Japan Statist.Soc.23. 19-31 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Sasaki: "A unified methed for multivariate polynomial factorizations" Japan J.Indus.Appl.Math.10. 21-39 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] T.Kitamoto: "Approximate Eigenvalues,Eigenvectors and Inverse of a Matrix with Polynomial Eutries" Japan J.of Indus.Appl.Math.

    • Related Report
      1993 Annual Research Report

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Published: 1993-04-01   Modified: 2016-04-21  

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