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2011 Fiscal Year Final Research Report

Development of two-stage methods for non-normal populations

Research Project

  • PDF
Project/Area Number 21500278
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHiroshima University

Principal Investigator

WAKAKI Hirofumi  広島大学, 大学院・理学研究科, 教授 (90210856)

Project Period (FY) 2009 – 2011
Keywords2段階標本抽出 / 漸近展開 / 単調変換 / ブートストラップ
Research Abstract

Two new methods of two-stage procedure of constructing a confidence region of the mean vector for non-normal populations are suggested. The one is a method using asymptotic expansion of the distribution, and the other is a method using a bootstrap method. We clarified character of each methods including their drawback. We found another bootstrap method to overcome a problem of over estimating the sample size needed in the original Healy' s two-stage method

  • Research Products

    (8 results)

All 2011 2010 2009 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (5 results) Remarks (1 results)

  • [Journal Article] Asymptotic expansions for a class of tests for a general covariance structure undera local alternative2011

    • Author(s)
      Shimizu, H. and Wakaki, H.
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 102 Pages: 1080-1089

    • Peer Reviewed
  • [Journal Article] High{ dimensional Edgeworth expansion of a test statistic on independence and its error bound2010

    • Author(s)
      Akita, T., Jin, J., and Wakaki, H.
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 101 Pages: 1806-1813

    • Peer Reviewed
  • [Presentation] Box型大標本漸近展開近似の誤差限界2011

    • Author(s)
      若木宏文
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      アクロス福岡
    • Year and Date
      2011-09-05
  • [Presentation] 正準相関分析の追加情報の冗長性に関する検定統計量の分布の漸近展開近似の誤差評価2010

    • Author(s)
      若木宏文、藤越康祝
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      早稲田大学早稲田キャンパス
    • Year and Date
      2010-09-06
  • [Presentation] An asymptotic expansion of the local power of a general test for testing a general covariance structure2009

    • Author(s)
      A. Shimizu and H. Wakaki
    • Organizer
      Hirhoshima Research Group Seminor
    • Place of Presentation
      Hiroshima
    • Year and Date
      2009-10-30
  • [Presentation] Asymptotic expansions for a class of tests for a general covariance structure under a local alternative2009

    • Author(s)
      清水暁裕、秋田智之、若木宏文
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学京田辺キャンパス
    • Year and Date
      2009-09-08
  • [Presentation] 非正規母集団に対する二段階標本抽出法2009

    • Author(s)
      若木宏文、青嶋誠
    • Organizer
      広島統計グループ金曜セミナー
    • Place of Presentation
      広島大学理学部
    • Year and Date
      2009-07-24
  • [Remarks] 広島大学理学部数学科数理統計グループのホームページ(セミナー、テクニカルレポート等の情報)

    • URL

      http://www.math.sci.hiroshima-u.ac.jp/stat/

URL: 

Published: 2013-07-31  

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