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2012 Fiscal Year Final Research Report

Construction of statistical sequential estimation procedures in nonregular case

Research Project

  • PDF
Project/Area Number 21540107
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionUniversity of Tsukuba

Principal Investigator

KOIKE Ken-ichi  筑波大学, 数理物質系, 准教授 (90260471)

Co-Investigator(Kenkyū-buntansha) AKAHIRA Masafumi  筑波大学, 副学長 (70017424)
Project Period (FY) 2009 – 2012
Keywords統計数学 / 逐次推定
Research Abstract

We constructed sequential interval and point estimation procedures of the endpoints of the support of the probability distribution with a bounded support. The estimation procedures are based on the extreme values. The sample sizes for these estimation procedures asymptotically coincide with minimum sample sizes when the width of the support is known.

  • Research Products

    (9 results)

All 2013 2012 2010

All Journal Article (4 results) (of which Peer Reviewed: 2 results) Presentation (5 results)

  • [Journal Article] 台が有界な分布に対する台の幅の逐次区間推定2012

    • Author(s)
      平山令士,小池健一
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1804 Pages: 178-187

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1804-14.pdf.

  • [Journal Article] ベイズ推測における事前分布の持つ情報の評価.2012

    • Author(s)
      神谷内裕,小池健一
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1804 Pages: 1-10

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/1804-01.pdf.

  • [Journal Article] Sequential estimation procedures for end points of support in a non-regular distribution.2010

    • Author(s)
      Koike, K.
    • Journal Title

      Communications in Statistics-Theory and Methods

      Volume: 39(8) Pages: 1585-1596

    • DOI

      DOI:10.1080/03610920802422605.

    • Peer Reviewed
  • [Journal Article] The professional career and contributions of Professor Masafumi Akahira.2010

    • Author(s)
      Aoshima, M. and Koike, K.
    • Journal Title

      Communications in Statistics-Theory and Methods

      Volume: 39(8) Pages: 1324-1342

    • DOI

      DOI:10.1080/03610921003644443.

    • Peer Reviewed
  • [Presentation] Bayes リスクに対する情報不等式について2013

    • Author(s)
      橋本真太郎,小池健一
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Year and Date
      2013-03-22
  • [Presentation] ベイズリスクに対する情報不等式2013

    • Author(s)
      橋本真太郎,小池健一
    • Organizer
      RIMS共同による研究会「Asymptotic Expansions for Various Models and Their Related Topics」
    • Place of Presentation
      京都大学数理解析研究所.
    • Year and Date
      2013-03-04
  • [Presentation] Bayesリスクに対するBhattacharyya型情報不等式について2012

    • Author(s)
      橋本真太郎,小池健一
    • Organizer
      科研費シンポジウム「統計科学の基礎的理論とその応用」
    • Place of Presentation
      国際奈良学セミナーハウス.
    • Year and Date
      2012-11-21
  • [Presentation] ベイズ推測における事前分布の持つ情報の評価2012

    • Author(s)
      神谷内裕,小池健一
    • Organizer
      RIMS共同による研究会「A New Perspective to Statistical Models and Its Related Topics」
    • Year and Date
      2012-03-05
  • [Presentation] 台が有界な分布における台の端点の逐次推測2010

    • Author(s)
      小池健一
    • Organizer
      科研費シンポジウム「統計的推測方法の理論的展開とその応用」
    • Place of Presentation
      熊本大学
    • Year and Date
      2010-11-19

URL: 

Published: 2014-08-29  

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