课题基金 / 基金详情

Mathematical Sciences: Semiparametric Models and Empirical Processes

Mathematical Sciences: Semiparametric Models and Empirical Processes
数学科学:半参数模型和经验过程
批准号:
8723011
负责人:
Jon Wellner
金额:
$13.21万
依托单位:
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1988
资助国家:
美国
项目状态:
已结题
起止时间:
1988-07-01 至 1991-12-31

项目摘要

项目成果

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中文摘要
翻译
本项目包含两个主要研究主题:半参数模型和经验过程。具体内容包括:(1)半参数模型的信息边界;(2)交替投影法(ACE和MAP)估算问题的效率计算;(3)半参数模型(包括变换模型、包含无穷多约束的约束模型和半参数回归模型)有效估计的构造;(4)经验过程收敛性在P中的一致性;(5)经验测度的渐近最优性;(6) L2子空间上投影下函数集合F的Donsker类性质的保持;(7)基于经验测度的对称统计和二次统计。在这个项目下进行的研究是在统计领域。
英文摘要
This project contains two major research themes: semiparametric models and empirical processes. Specific topics include: (1) information bounds for semiparametric models; (2) efficiency calculations for estimation problems involving althernating projection (ACE and MAP) methods; (3) construction of efficient estimates in semiparametric models including transformation models, constrained models involving infinitely many constraints, and semiparametric regression models; (4) uniformity in P of the convergence of empirical processes; (5) asympotic optimality of empirical measures; (6) preservation of the Donsker class property of a collection of functions F under projection onto a subspace in L2; (7) symmetric and quadratic statistics based on empirical measures. Research to be performed under this project is in the area of statistics.
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Shape Restrictions, Empirical Processes, and Semiparametric Models
  • 批准号:
    1566514
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $40.0万
  • 财政年份:
    2016
  • 负责人:
    Jon Wellner
  • 依托单位:
Shape Restrictions, Empirical Processes, and Semiparametric Models
  • 批准号:
    1104832
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $36.61万
  • 财政年份:
    2011
  • 负责人:
    Jon Wellner
  • 依托单位:
Shape Restrictions, Semiparametric Models, and Empirical Processes
  • 批准号:
    0804587
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $26.0万
  • 财政年份:
    2008
  • 负责人:
    Jon Wellner
  • 依托单位:
Statistical Inverse Problems, Semiparametric Models, and Empirical Processes
  • 批准号:
    0503822
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $0.0万
  • 财政年份:
    2005
  • 负责人:
    Jon Wellner
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences