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2012 Fiscal Year Final Research Report

Global accurate or optimal computation for MCMC method over Discrete random space

Research Project

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Project/Area Number 21500271
Research Category

Grant-in-Aid for Scientific Research (C)

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

Principal Investigator

HASHIGUCHI Hiroki  埼玉大学, 理工学研究科, 准教授 (50266920)

Co-Investigator(Kenkyū-buntansha) NAKAGAWA Shigekazu  倉敷芸術科学大学, 産業科学技術学部, 教授 (90248203)
Co-Investigator(Renkei-kenkyūsha) KURODA Masahiro  岡山理科大学, 総合情報学部, 准教授 (90279042)
YAMADA Shu  筑波大学, ビジネス科学研究科, 教授 (60260965)
Project Period (FY) 2009 – 2012
Keywordsマルコフ連鎖モンテカルロ法 / 過飽和実験計画 / 分割表解析 / 固有値分布
Research Abstract

We discussed the global accurate or optimal computation for the Markov chain Monte Carlo method and applied two practical problems. One is for calculating approximate probability in the analysis of contingency table, the other for constructing supersaturated designs. We confirmed that our global computation method worked well for the above two problems through the numerical experiments.

  • Research Products

    (18 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (8 results) (of which Peer Reviewed: 7 results) Presentation (9 results) Remarks (1 results)

  • [Journal Article] MCMC using Markov bases for computing p-values indecomposable log-linear models2013

    • Author(s)
      Kuroda, M., Hashiguchi, H., Nakagawa, S. and Geng, Z.
    • Journal Title

      Computational Statistics

      Volume: Volume 28, Issue 2 Pages: 831-850

    • Peer Reviewed
  • [Journal Article] The holonomic gradient method for the distribution function of the largest root of a Wishart matrix2013

    • Author(s)
      Hiroki Hashiguchi, Yasuhide Numata, Nobuki Takayama, Akimichi Takemura
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 117 Pages: 296-312

    • Peer Reviewed
  • [Journal Article] Improved omnibus test statistic for normality2012

    • Author(s)
      Shigekazu Nakagawa, Hiroki Hashiguchi, Naoto Niki
    • Journal Title

      Computational Statistics, Comput Stat

      Volume: 27 Pages: 299-317

    • Peer Reviewed
  • [Journal Article] 二段階最適化法による混合水準過飽和計画の構成2011

    • Author(s)
      大野貴慎,橋口博樹,山田秀
    • Journal Title

      日本計算機統計学会,計算機統計学

      Volume: 24(1) Pages: 23-35

    • Peer Reviewed
  • [Journal Article] Optimal selection and ordering of columns in supersaturated designs2011

    • Author(s)
      N. Niki, M. Iwata, H. Hashiguchi, S.Yamada
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: Volume 141, Issue 7 Pages: 2449-2462

    • Peer Reviewed
  • [Journal Article] Computing p-values in conditional independence models for a contingency table2010

    • Author(s)
      Masahiro Kuroda, Hiroki Hashiguchi, Shigakazu Nakagawa
    • Journal Title

      Computational Statistics

      Volume: Volume25 Pages: 57-70

    • Peer Reviewed
  • [Journal Article] Algorithm for computing Kronecker basis2009

    • Author(s)
      Y. Kakinuma, K. Hiraoka, H. Hashiguchi, Y. Kuwajima, T. Shigehara
    • Journal Title

      JSIAM Letters 1

      Pages: 60-63

    • Peer Reviewed
  • [Journal Article] ゾーナル多項式の数式処理と最小固有値分布の計算2009

    • Author(s)
      橋口博樹
    • Journal Title

      数式処理

      Volume: Volume 16, Number 2 Pages: 23-31

  • [Presentation] On a bivariate density function for the distribution of the skewness and kurtosis statistics, ims-APRM 20122012

    • Author(s)
      Shigekazu Nakagawa, Hiroki Hashiguchi,Naoto Niki
    • Organizer
      ims-APRM 2012, Abstract
    • Place of Presentation
      Tsukuba
    • Year and Date
      20120702-04
  • [Presentation] Approximate $¥chi^2$ distributions for the distribution of the smallest latent root of a Wishart matrix, ims-APRM 20122012

    • Author(s)
      Hiroki Hashiguchi, Takakazu Sugiyama
    • Organizer
      ims-APRM 2012, Abstract
    • Place of Presentation
      Tsukuba
    • Year and Date
      20120702-04
  • [Presentation] Approximation for eigenvalue distributions of a real or complex Wishart matrix, ims-APRM 2012, Tsukuba2012

    • Author(s)
      Hasegawa, M., Kato, H. and Hashiguchi, H
    • Organizer
      ims-APRM2012, Abstract
    • Place of Presentation
      Poster Presentation
    • Year and Date
      20120702-04
  • [Presentation] 複素ウィシャー ト行列における最小固有値分布のガンマ分布近似2011

    • Author(s)
      長谷川将義,橋口博樹
    • Organizer
      計算機統計学会
    • Place of Presentation
      函館福祉センター
    • Year and Date
      20110000
  • [Presentation] 特異ウィシャート 行列の最小固有値分布の近似について2011

    • Author(s)
      加藤仁志,橋口博樹
    • Organizer
      計算機統計学会 (5/8 発表), 計算機統計学会第25回大会講演論文集
    • Place of Presentation
      函館福祉センター
    • Year and Date
      20110000
  • [Presentation] 有限体に基づく過飽和計画の構成について2010

    • Author(s)
      角昌竜,橋口博樹,山田秀
    • Organizer
      日本計算機統計学会第24回シンポジウム
    • Place of Presentation
      箕面市立メイプルホール
    • Year and Date
      20101111-12
  • [Presentation] 最適計画の結合による混合水準過飽和計画の構成について2010

    • Author(s)
      藤島徹,橋口博樹,山田秀
    • Organizer
      計算機統計学会第25回大会講演論文集
    • Place of Presentation
      箕面市立メイプルホール
    • Year and Date
      20101111-12
  • [Presentation] Random generation for constructing supersaturated designs2010

    • Author(s)
      Hiroki Hashiguchi
    • Organizer
      ISBIS-2010
    • Place of Presentation
      Portoroz, Slovenia
    • Year and Date
      20100705-09
  • [Presentation] 固有値分布論における対称式の数式処理2010

    • Author(s)
      橋口博樹
    • Organizer
      応用統計学会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      20100000
  • [Remarks]

    • URL

      http://www.tus.ac.jp/ridai/doc/ji/RIJIA01User.php?act=nam&kin=pap&diu=1f6e

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Published: 2014-08-29  

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