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

Research Project

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
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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 / マルコフチェインモンテカルロ法 / 実験計画の構成 / 統計学 / 統計計算 / コンピュータ支援統計
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.

Report

(5 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (54 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (17 results) (of which Peer Reviewed: 14 results) Presentation (36 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

    • Related Report
      2012 Final Research Report
    • 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

    • Related Report
      2012 Annual Research Report 2012 Final Research Report
    • 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

    • Related Report
      2012 Final Research Report
    • 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

    • NAID

      110008762269

    • Related Report
      2012 Final Research Report
    • 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

    • NAID

      120007130898

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Improved omnibus test statistic for normality2011

    • Author(s)
      S.Nakagawa, H.Hashiguchi, N.Niki
    • Journal Title

      Computational Statistics

      Volume: 27 Issue: 2 Pages: 299-317

    • DOI

      10.1007/s00180-011-0258-0

    • Related Report
      2011 Annual Research Report 2010 Annual Research Report
    • 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

      計算機統計学

      Volume: 24(1) Pages: 23-35

    • NAID

      110008762269

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimal selection and ordering of columna in supersaturated designs2011

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

      Journal of Statistical Planning and Inference

      Volume: 141(7) Pages: 2449-2462

    • Related Report
      2010 Annual Research Report
    • 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和文紙

      Volume: 印刷中

    • NAID

      110008762269

    • Related Report
      2010 Annual Research Report
    • 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

    • Related Report
      2012 Final Research Report
    • Peer Reviewed
  • [Journal Article] Computing p-values in conditional independence models for a contingency table2010

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

      Computational Statistics 25

      Pages: 57-70

    • Related Report
      2009 Annual Research Report
    • 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

    • NAID

      130000133094

    • Related Report
      2012 Final Research Report
    • 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

    • NAID

      10026791843

    • Related Report
      2012 Final Research Report
  • [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

    • NAID

      130000133094

    • Related Report
      2009 Annual Research Report
    • 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 16

      Pages: 23-31

    • NAID

      10026791843

    • Related Report
      2009 Annual Research Report
  • [Journal Article] Jarque-Bera型統計量のモーメント導出と数式処理2009

    • Author(s)
      中川重和
    • Journal Title

      数式処理 16

      Pages: 55-64

    • NAID

      10026791892

    • Related Report
      2009 Annual Research Report
  • [Journal Article] MCMC using Markov bases for computing p-values in decomposable log-linear models

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

      Computational Statistics

      Volume: (in acceptance)

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Presentation] ウィシャート分布に現れる行列変数の超幾何関数に対するホロノミック勾配法2012

    • Author(s)
      竹村彰通, 高山信毅, 沼田泰英, 橋口博樹
    • Organizer
      科研費研究集会「数理統計学と代数統計の新たな展開」
    • Place of Presentation
      つくば国際会議場エポカルつくば
    • Year and Date
      2012-01-20
    • Related Report
      2011 Annual Research Report
  • [Presentation] ウィシャート分布に現れる行列変数の超幾何関数に対するホロノミック勾配法2012

    • Author(s)
      竹村彰通, 高山信毅, 沼田泰英, 橋口博樹
    • Organizer
      研究集会「超幾何方程式研究会」
    • Place of Presentation
      神戸大学瀧川記念学術交流会館
    • Year and Date
      2012-01-06
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [Presentation] On a bivariate density function for the distribution of the skewness and kurtosis statistics2012

    • Author(s)
      Shigekazu Nakagawa, Hiroki Hashiguchi, Naoto Niki
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting,
    • Place of Presentation
      Tsukuba
    • Related Report
      2012 Annual Research Report
  • [Presentation] Approximating the distribution of latent roots for high dimensional principal component analysis in genome association studies.2012

    • Author(s)
      Takakazu Sugiyama, Takahiro Nakamura, Hiroki Hashiguchi
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      Tsukuba
    • Related Report
      2012 Annual Research Report
  • [Presentation] Approximate $\chi^2$ distributions for the distribution of the smallest latent root of a Wishart matrix2012

    • Author(s)
      Hiroki Hashiguchi, Takakazu Sugiyama
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      Tsukuba
    • Related Report
      2012 Annual Research Report
  • [Presentation] Approximation for eigenvalue distributions of a real or complex Wishart matrix2012

    • Author(s)
      Hasegawa, M., Kato, H. and Hashiguchi, H.
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacific Rim Meeting
    • Place of Presentation
      Tsukuba
    • Related Report
      2012 Annual Research Report
  • [Presentation] 標本歪度と標本尖度分布の同時密度関数2012

    • Author(s)
      中川重和,橋口博樹,仁木直人
    • Organizer
      日本計算機統計学会第26回大会
    • Place of Presentation
      高松市
    • Related Report
      2012 Annual Research Report
  • [Presentation] 固有値分布のカイ二乗積による近似について2012

    • Author(s)
      加藤仁志,長谷川将義,橋口博樹
    • Organizer
      日本計算機統計学会 第26 回シンポジウム
    • Place of Presentation
      東京大学山上会館
    • Related Report
      2012 Annual Research Report
  • [Presentation] 分位関数を満たす常微分方程式とその応用2012

    • Author(s)
      宮武拓登,橋口博樹
    • Organizer
      日本計算機統計学会 第26 回シンポジウム
    • Place of Presentation
      東京大学山上会館
    • Related Report
      2012 Annual Research Report
  • [Presentation] 有限体から得られる過飽和計画の結合とその最適性について2012

    • Author(s)
      石川大樹,角昌竜,橋口博樹,山田秀
    • Organizer
      日本計算機統計学会 第26 回シンポジウム
    • Place of Presentation
      東京大学山上会館
    • Related Report
      2012 Annual Research Report
  • [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
      函館市函館福祉センター
    • Year and Date
      2011-05-08
    • Related Report
      2011 Annual Research Report
  • [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
    • Place of Presentation
      函館市函館福祉センター
    • Year and Date
      2011-05-08
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [Presentation] 固有値分布のカイ2乗近似について2010

    • Author(s)
      橋口博樹, 杉山高一
    • Organizer
      科学研究費「計算代数手法に基づく数理統計学の展開」基盤研究(A)22240029
    • Place of Presentation
      大宮ソニックシティー
    • Year and Date
      2010-11-15
    • Related Report
      2010 Annual Research Report
  • [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
    • Place of Presentation
      箕面市立メイプルホール
    • Year and Date
      2010-11-11
    • Related Report
      2010 Annual Research Report
  • [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
      日本計算機統計学会
    • Place of Presentation
      箕面市立メイプルホール
    • Year and Date
      2010-11-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] 正規性検定統計量sample Pearson measure of skewnessとその正規化変換2010

    • Author(s)
      中川重和, 橋口博樹, 仁木直人
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      箕面市立メイプルホール
    • Year and Date
      2010-11-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] A Power Comparison for Testing Normality2010

    • Author(s)
      S.Nakagawa, H.Hashiguchi, N.Niki
    • Organizer
      Compstat 2010
    • Place of Presentation
      Conservatoire Nationaldes Arts et des Metiers
    • Year and Date
      2010-08-26
    • Related Report
      2010 Annual Research Report
  • [Presentation] 正規性の総括的検定における検出力比較2010

    • Author(s)
      中川重和, 谷川将, 橋口博樹, 仁木直人
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2010-05-14
    • Related Report
      2010 Annual Research Report
  • [Presentation] Random generation for constructing supersaturated designs2010

    • Author(s)
      Hiroki Hashiguchi
    • Organizer
      ISBIS-2010
    • Place of Presentation
      Portoroz, Slovenia
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report 2010 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [Presentation] 固有値分布論の動向2009

    • Author(s)
      橋口博樹, 宮崎瑛子, 杉山高一
    • Organizer
      高次元データの推測理論の開発と応用 科学研究費B研究集会
    • Place of Presentation
      中央大学
    • Year and Date
      2009-12-05
    • Related Report
      2009 Annual Research Report
  • [Presentation] ゾーナル多項式生成の計算量について2009

    • Author(s)
      橋口博樹
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      札幌学院大学
    • Year and Date
      2009-11-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] ブロック化を考慮した混合水準過飽和計画の構成2009

    • Author(s)
      大野貴慎, 橋口博樹, 山田秀
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      札幌学院大学
    • Year and Date
      2009-11-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Jarque-Beraタイプの総括的検定統計量の分布2009

    • Author(s)
      中川重和, 橋口博樹, 仁木直人
    • Organizer
      科研費基盤研究(B)"統計的因果推論の総合的研究"「統計科学の方法論と応用の新展開」研究集会
    • Place of Presentation
      松江テルサ
    • Year and Date
      2009-10-22
    • Related Report
      2009 Annual Research Report
  • [Presentation] 正規性検定の総括的統計量の分布2009

    • Author(s)
      中川重和, 橋口博樹, 仁木直人
    • Organizer
      科研費基盤研究(A)計算代数統計学の展開「統計科学の数理と応用」研究集会
    • Place of Presentation
      岡山国際交流センター
    • Year and Date
      2009-10-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] ゾーナル多項式計算と固有値分布2009

    • Author(s)
      橋口博樹
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 正規性検定統計量sample Pearson measure of skewnessとその正規化変換2009

    • Author(s)
      中川重和, 橋口博樹, 黒田正博, 仁木直人
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] 過飽和計画のEs2下界性について2009

    • Author(s)
      藤島徹, 藤山健太, 大野貴慎, 橋口博樹, 山田秀
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      福岡女子大学
    • Year and Date
      2009-05-16
    • Related Report
      2009 Annual Research Report
  • [Presentation] 過飽和実験計画構成のためのクラス設計2009

    • Author(s)
      大野貴慎, 橋口博樹, 山田秀
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      福岡女子大学
    • Year and Date
      2009-05-16
    • Related Report
      2009 Annual Research Report
  • [Remarks]

    • URL

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

    • Related Report
      2012 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2019-07-29  

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