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Fundamental study on identifiability in statistical models

Research Project

Project/Area Number 17500179
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionTokyo Institute of Technology

Principal Investigator

MIYAKAWA Masami  Tokyo Institute of Technology, Graduate School, Department of Decision Science and Technology, Professor, 大学院社会理工学研究科, 教授 (90157595)

Co-Investigator(Kenkyū-buntansha) TANAKA Kentaro  Tokyo Institute of Technology, Graduate School, Department of Decision Science and Technology, Assistant Professor, 大学院社会理工学研究科, 助手 (00376948)
Project Period (FY) 2005 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2006: ¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 2005: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsprobability theory / mathematical engineering / statistical science / quality control system / statistical modeling
Research Abstract

This research studies several identification problems in statistical models.
1)Intervention not to variables but arrows in the causal diagram is formulated through the conditional intervention, and the identifiability criterion is shown.
2)In the competing risks with covariates, a new identifiable assumption which can reduce high dimensional covariates is obtained.
3)Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions is proved in the case where the scale parameters of the component distributions are exponentially small.
4)The way to assign six-level factors to the L36 orthogonal array is given. Three six-1evel factors with eight two-level factors can be assigned orthogonally. Under the least confounding, six six-level factors are assigned and all main effects are estimable. The way of assignment is shown by nearly orthogonal arrays.
5)The error rate of a future observation from a normal group is investigated in the Mahalanobis-Taguchi system. It is shown that by setting a nominal error based on not chi-square distribution but F distribution, the expected error rate coincides with the nominal value and the conditional error rates tend to be stable.

Report

(3 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • Research Products

    (17 results)

All 2007 2006 2005

All Journal Article (16 results) Book (1 results)

  • [Journal Article] マハラノビス・タグチ・システムにおける実際の誤判別率2007

    • Author(s)
      宮川雅巳, 田中研太郎, 岩澤智之, 中西寛子
    • Journal Title

      日本品質管理学会「品質」 37・1

      Pages: 101-106

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The Error Rate in Mahalanobis-Taguchi System.2007

    • Author(s)
      Masami MIYAKAWA, Kentaro TANAKA, Tomoyuki IWASAWA, Hiroko NAKANISHI
    • Journal Title

      Journal of the Japanese Society for Quality Control 37-1

      Pages: 101-106

    • NAID

      110006163861

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] マハラノビス・タグチ・システムにおける実際の誤判別率2007

    • Author(s)
      宮川雅巳, 田中研太郎, 岩澤智之, 中西寛子
    • Journal Title

      品質(日本品質管理学会) 37・1

      Pages: 101-106

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 因果ダイアグラムにおける矢線への介入効果の定式化とその応用2006

    • Author(s)
      黒田健成, 宮川雅巳, 田中研太郎
    • Journal Title

      応用統計学 35・2

      Pages: 79-91

    • NAID

      10018690150

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] L36直交配列表に6水準因子を割り付ける方法2006

    • Author(s)
      北村尚久, 宮川雅巳
    • Journal Title

      日本品質管理学会「品質」 36・4

      Pages: 461-467

    • NAID

      110004849257

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions when the scale parameters are exponentially small2006

    • Author(s)
      Kentaro Tanaka, Akimichi Takemura
    • Journal Title

      Bernoulli 12・6

      Pages: 1003-1017

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Formulation of Intervention to Arrows in Causal Diagram and Its Applications.2006

    • Author(s)
      Kensei Kuroda, Masami Miyakawa, Kentaro Tanaka
    • Journal Title

      Japanese J.Appl.Statist 35-2

      Pages: 79-91

    • NAID

      10018690150

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Assignment of Six-Level Factors to L36 Orthogonal Array.2006

    • Author(s)
      Takahisa KITAMURA, Masami MIYAKAWA
    • Journal Title

      Journal of the Japanese Society for Quality Control 36-4

      Pages: 107-113

    • NAID

      110004849257

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Strong consistency of the maximum likelihood estimator for finite mixtures of location-scale distributions when the scale parameters are exponentially small.2006

    • Author(s)
      Kentaro Tanaka, Akimichi Takemura
    • Journal Title

      Bernoulli 12-6

      Pages: 1003-1017

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] L36直交配列表に6水準因子を割り付ける方法2006

    • Author(s)
      北村尚久, 宮川雅巳
    • Journal Title

      品質(日本品質管理学会) 36・4

      Pages: 461-467

    • NAID

      110004849257

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 従属な2×2分割表間での等オッズ比性仮説に対する尤度比検定と従属性の影響2005

    • Author(s)
      宮川雅巳, 田中瑛士
    • Journal Title

      日本品質管理学会「品質」 35・2

      Pages: 272-278

    • NAID

      110003161960

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Strong consistency of MLE for finite mixtures of location-scale distributions when the scale parameters are exponentially small2005

    • Author(s)
      Kentaro Tanaka, Akimichi Takemura
    • Journal Title

      Ann Inst. Statist. Math. 57・1

      Pages: 1-19

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Likelihood Ratio for Equality of Odds Ratios between Dependent Contingency Tables and Increased Precision with Dependent Samples.2005

    • Author(s)
      Masami Miyakawa, Eiji Tanaka
    • Journal Title

      Journal of the Japanese Society for Quality Control 35-2

      Pages: 114-120

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Strong Consistency of MLE for Finite Uniform Mixtures When the Scale Parameters are Exponentially Small.2005

    • Author(s)
      Kentaro Tanaka, Akimichi Takemura
    • Journal Title

      Ann.Inst.Statist.Math. 57-1

      Pages: 1-19

    • NAID

      40006712673

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 従属な2×2分割表間での等オッズ比性仮説に対する尤度比検定と従属性の影響2005

    • Author(s)
      宮川雅巳, 田中瑛士
    • Journal Title

      日本品質管理学会誌 35・2

      Pages: 272-278

    • NAID

      110003161960

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Strong consistency of MLE for finite uniform mixtures when the scale parameters are exponentially small2005

    • Author(s)
      Kentaro Tanaka, Akimichi Takemura
    • Journal Title

      Annals of the Institute of Statistical Mathematics 57

      Pages: 1-19

    • NAID

      40006712673

    • Related Report
      2005 Annual Research Report
  • [Book] 実験計画法特論2006

    • Author(s)
      宮川雅巳
    • Total Pages
      314
    • Publisher
      日科技連
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary

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Published: 2005-04-01   Modified: 2016-04-21  

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