课题基金 / 基金详情

Research of mathematics for statistical inference and its applications

Research of mathematics for statistical inference and its applications
统计推断数学及其应用研究
批准号:
04302010
负责人:
YAMATO Hajime
金额:
$11.58万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Co-operative Research (A)
财政年份:
1992
资助国家:
日本
项目状态:
已结题
起止时间:
1992 至 1993

项目摘要

项目成果

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中文摘要
翻译
为了解决许多与统计推断及其应用有关的数学问题,我们在全国范围内召开了以下主题的会议。(1)带参数的统计模型和似然推断:我们用指数族和另一种统计模型得到了许多似然推断的结果。(2)实验设计理论及其应用:报道和讨论了实验设计和组合理论的许多结果。(3)非参数推理及其应用的最新进展:报道了非参数推理、时间序列分析及相关课题的新进展。(4)最优化理论及其应用:研究了数学规划及其相关领域的许多问题。(5)多元分析理论及其应用:讨论了多元增长曲线模型、似然比检验和其他多元统计推断。(6)现代时间序列分析理论及其应用:我们在时间序列分析、预测理论及其应用方面取得了许多成果。(7)生物统计学的数学及其应用:研究了医学和生物学的统计推断。(8)统计推断和序贯分析:讨论了非固定样本量的统计方法。(9)统计推断理论及其最优性:研究了非参数推断和时间序列分析中统计量的渐近性质。(10)非正态分布的统计推断及其应用:讨论了与非正态分布估计和检验有关的统计量的性质。(11)多元分析理论与计算机:介绍了利用计算机进行统计的方法。(12)统计实验理论及其应用:对统计实验中的信息损失、局部渐近正态及相关课题进行了研究。
英文摘要
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.
期刊论文(12)
专著(0)
科研奖励(0)
会议论文
Kensuke Tanaka: "An ε-equilibrium point in an n-person game with constraints" J.Infom.Opti.Scie.13. 427-436 (1992)
Kensuke Tanaka:“有约束的 n 人游戏中的 ε 平衡点”J.Infom.Opti.Scie.13 (1992)。
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Ritei Shibata: "Regularization information criterion" Proceedings of the first US/JAPAN Conference on the Frontiers of Statistical modeling. (1993)
Ritei Shibata:“正则化信息准则”第一届美国/日本统计建模前沿会议论文集。
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Zenaida F.Mateo: "Sensitivity analysis in factor analysis regression" J.Japanese Soc.Comp.Statist.6. 11-24 (1993)
Zenaida F.Mateo:“因子分析回归中的敏感性分析”J.Japan Soc.Comp.Statist.6。
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共 12 条
    Study on functional s of distributions and convex combinations of U-statistics
    • 批准号:
      15540130
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.79万
    • 财政年份:
      2003
    • 负责人:
      YAMATO Hajime
    • 依托单位:
    Study on statistics associated with estimable parameters
    • 批准号:
      13640124
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.11万
    • 财政年份:
      2001
    • 负责人:
      YAMATO Hajime
    • 依托单位:
    STUDY OF NONPARAMETRIC STATISTICAL INFERENCE
    • 批准号:
      11640128
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.24万
    • 财政年份:
      1999
    • 负责人:
      YAMATO Hajime
    • 依托单位:
    海外基金