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Research of mathematics for statistical inference and its applications

Research Project

Project/Area Number 04302010
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKagoshima University

Principal Investigator

YAMATO Hajime  Kagoshima Univ., Dept.of Math., Professor, 理学部, 教授 (90041227)

Co-Investigator(Kenkyū-buntansha) YANAGAWA Takashi  Kyusyu Univ., Dept.of Math., Professor, 理学部, 教授 (80029488)
TANAKA Yutaka  Okayama Univ., Dept.of Statist., Professor, 教養部, 教授 (20127567)
TANAKA Kensuke  Niigata Univ., Dept.of Math., Professor, 理学部, 教授 (70018258)
KAGEYAMA Sanpei  Hiroshima Univ., Dept.of Math., Professor, 学校教育学部, 教授 (70033892)
INAGAKI Nobuo  Osaka Univ., Dept.of Math., Professor, 基礎工学部, 教授 (10000184)
鈴木 武  早稲田大学, 理工学部, 教授 (60047347)
西井 龍映  広島大学, 総合科学部, 助教授 (40127684)
磯貝 英一  新潟大学, 理学部, 助教授 (40108014)
柴田 里程  慶応義塾大学, 理工学部, 助教授 (60089828)
竹村 彰通  東京大学, 経済学部, 助教授 (10171670)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥18,100,000 (Direct Cost: ¥18,100,000)
Fiscal Year 1993: ¥9,300,000 (Direct Cost: ¥9,300,000)
Fiscal Year 1992: ¥8,800,000 (Direct Cost: ¥8,800,000)
KeywordsLikelihood / Experimental design / Nonparametric inference / Multivariate analysis / Time series analysis / Bio-statistics / Sequential analysis / Non-normal distribution / バイオ統計学 / 漸近展開 / 統計的実験 / 尤度解析 / 最適化理論 / 時条列解析
Research Abstract

In order to solve many mathematical problems concerning the statistical inference and its applications, we have nationwide meetings for the follwing themes. (1) Statistical models with parameters and inference by likelihood : We had many results for inference by likelihood with exponential families and another statistical models. (2) Theory of experimental design and its applications : Many results for experimental designs and combinatorial theory were reported and discussed. (3) Recent development of nonparametric inference and its applications : New developments of nonparametric inference, time series analysis and related topics were reported. (4) Theory of optimization and its applications : Many problems of mathematical programming and the related fields were studied. (5) Theory of multivariate analysis and its applications : Multivariate growth curve model, likelihood ratio test and other multivariate statistical inference were discussed. (6) Theory of recent time series analysis and its application : We had many results for time series analysis, prediction theory and their applications. (7) Mathematics for bio-statistics and its applications : Statistical inference for medicine and biology were studied. (8) Statistical inference and sequential analysis : Statistical methods for unfixed sample size were discussed. (9) Theory of statistical inference and its optimality : Asymptotic properties of statistics for nonparametric inference and time series analysis were reported. (10) Statistical inference for non-normal distributions and its applications : Properties of statistics associated with estimations and tests were discussed for non-normal distributions. (11) Theory of multivariate analysis and computer : Statistical methods using computer were reported. (12) Theory of statistical experiment and its applications : For statistical experiments, information losses, locally asymptotic normalities and the related topics and studied.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (38 results)

All Other

All Publications (38 results)

  • [Publications] Hajime Yamato: "A Polya urn model with a continuum of colors" Ann.Inst.Statist.Math.45. 453-458 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Yoshiji Takagi: "Estimating function with asymptotic bias and its estimator" Ann.Inst.Statist.Math.45. 499-510 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Sanpei Kageyama: "Robustness of some balanced block designs" Discrete Math.116. 159-181 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kensuke Tanaka: "An ε-equilibrium point in an n-person game with constraints" J.Infom.Opti.Scie.13. 427-436 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Zenaida F.Mateo: "Sensitivity analysis in factor analysis regression" J.Japanese Soc.Comp.Statist.6. 11-24 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takashi Yanagawa: "Projection method Mantel-Haenszel procedures for K 2×J tables" J.Amer.Statist.Assoc.(発表予定).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Hajime Yamamoto: "A Polya urn model with a continuum of colors" Ann.Inst.Statist.Math.45. 453-458 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Yoshiji Takagi: "Estimating function with asymptotic bias and its estimator" Ann.Inst.Statist.Math.45. 499-510 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Sanpei Kageyama: "Robustness of some balanced block designs" Discrete Mathe.116. 159-181 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kensuke Tanaka: "An epsilon-equilibrium point in an n-person game with constraints" J.Inform.Opti.Scie.13. 427-436 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Zenaida F.Mateo: "Sensitivity analysis in factor analysis regression" J.Japan.Soc.Comp.Statist.6. 11-24 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takashi Yanagawa: "Projection method Mantel-Haenszel procedures for K 2xJ tables" J.Amer.Statist.Assoc.(to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Hajime Yamato: "A Polya urn model with a continuum of colors" Ann,Inst.Statist.Math. 45. 453-458 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Eiichi Isogai: "Anote on minimum risk point estimation of the vaviance of a normal population" Comman.in Statist.Theory Meth.22. 2309-2319 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Eiichi Isogai: "A Berry-Esseen-type bound for recursive estimators of a density and its clerivatives" J.Statist. Plann.Inf.(発表予定).

    • Related Report
      1993 Annual Research Report
  • [Publications] Eiichi Isogai: "Seauential estimation of a parameter of an exponential distribution" Ann.Inst.Statist.Math.(発表予定).

    • Related Report
      1993 Annual Research Report
  • [Publications] Ryuei Nishii: "Optimality of experimental designs" Discrete Math.116. 209-225 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Ryuei Nishii: "Normal approximation to the distribution of the sample mean in the exponential family" Stat.Sci.& Data Anal.313-324 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Ryuei Nishii: "Converqence of the Gram-Charier expansion after the normalijing Box-Cox tnsruformation" Ann.Inst.Statist.Math.45. 173-186 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Singo Watadani: "Sensitivity analysis in covariance structuve anaiysis:a numerical investigation in the case of confirmatory factor analysis" Stat.Sci.& Data Anal.197-209 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Zenaida F.Mateo: "Sensitivity analysis in factor analysis vegression" J.Japanese Soc.Comp Statist.6. 11-24 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Takashi Yanagawa: "Incorporating geographic distribution into the expected number of deaths in a comparative stady" Stat.Sci.& Data Anal.25-32 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Takashi Yanagawa: "Mantel-Haenszel type tests for testing equivalence,or move than equivalence in comparative clinical trials" Biometrics. (発表予定).

    • Related Report
      1993 Annual Research Report
  • [Publications] Takashi Yanagawa: "Projetion method Mantel-Haenszel Procedures for K 2×J tables" J.Amer.Statist.Assoc.(発表予定).

    • Related Report
      1993 Annual Research Report
  • [Publications] Hajime Yamaato: "Uniformly minimum variance unbiased estimators ot variauces and covariances of multivaritae normal distributions with cyclic covariance matrices" Bull.Inform.Cybernet.25. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Hajime Yamaato: "A P'olya urn model with a continuum of colors" Ann.Inst.Stat.Math. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Sanpei Kageyama: "Efficiency of connected binary block designs when a single observation is unavailable" Ann.Inst.Stat.Math.44. 593-603 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Sanpei Kageyama: "Robustness of BIB and evtended BIB designs against the unavailability of any number of observation in a block" Computational Statistic&Data Analysis. 14. 343-358 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Sanpei Kageyama: "On some series of efficiency-balanced block and row-column designs" Sankhya(Series B). (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Sanpei Kageyama: "Type S clesigns in unegual blocks" J.Combin.Infor.Sys.Sci. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kensuke Tanaka: "On a stochastic games with constraints" Proceedings of the Second Conference of the Association of APORS. 332-341 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Kensuke Tanaka: "An ε-eguilibriun point in an n-person game with constraints" J.Inform.&Optim.Sci.(1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Akimichi Takemura: "Maximally orthogonally invariant higher order moments and their application to testing elliplically-contouredness" Statistical Science and Data Analysis. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Yo Sheena: "Inaclmissibility of non-order-preserving orthogonally invariant estimators of the covariance matrix in the case of Steim's loss" J.Multivariate Anal.41. 117-131 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] Toshiharu Hayashi: "Estimation of levels of intensity in a simple self-correcting point process" Statistical Science and Data Analysis. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] Ritei Shibata: "Regularization information criterion" Proceedings of the first US/JAPAN Conference on the Frontiers of Statistical modeling. (1993)

    • Related Report
      1992 Annual Research Report
  • [Publications] 渋谷 政昭: "Sによるデータ解析" 共立出版, 228 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] 稲垣 宣生: "統計学入門" 裳華房, 185 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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