Studies on Foundations of Statistics

统计学基础研究

基本信息

  • 批准号:
    9801401
  • 负责人:
  • 金额:
    $ 28.86万
  • 依托单位:
  • 依托单位国家:
    美国
  • 项目类别:
    Continuing Grant
  • 财政年份:
    1998
  • 资助国家:
    美国
  • 起止时间:
    1998-08-15 至 2002-01-31
  • 项目状态:
    已结题

项目摘要

9801401Joseph KadaneThe investigators work on three aspects of the foundations of Bayesianstatistics and decision theory: (i) They develop measures of incoherence which permit them to quantify the extent to which non-Bayesian procedures violate principles of subjective expected utility. (ii) They implement algorithms for assessing partially ordered preferences, according to their representation in terms of sets of agreeing probability/utility pairs. These are relevant for modeling Pareto consensus of a group of coherent (Bayesian) expert decision makers. (iii) They explore connections between merely finitely additive probability and valid computations with "improper" priors, in the context of so-called "Marginalization" paradoxes.Bayesian statistics aims to put statistics on a sound theoretical footing by modeling a rational statistical decision maker as if he or she were a bookie, announcing probabilities which act as prices at which risky bets can be bought or sold. An important general result is that a bookie either behaves as a Bayesian, or would accept a series of bets that would make the bookie a sure loser. The investigators explore extensions of this theory to account for non-Bayesian behavior, groups of bookies, and more general interpretations of probability.
9801401 Joseph Kadane研究人员致力于贝叶斯统计和决策理论基础的三个方面:(i) 他们开发的措施,使他们能够量化的程度,非贝叶斯程序违反主观预期效用的原则不一致。 (ii)他们实现算法评估偏序偏好,根据他们的代表性的同意概率/效用对的集合。 这些是相关的建模帕累托共识的一组连贯的(贝叶斯)专家决策者。 (iii)他们在所谓的“边缘化”悖论的背景下,探索了仅仅是可加性概率和具有“不适当”先验的有效计算之间的联系。贝叶斯统计学旨在通过建模一个理性的统计决策者,将他或她视为赌注经纪人,宣布作为风险赌注可以买卖的价格的概率,从而将统计学置于合理的理论基础之上。一个重要的一般结果是,一个赌注经纪人要么表现得像贝叶斯,要么会接受一系列的赌注,这将使赌注经纪人成为一个肯定的输家。 研究人员探索了这一理论的扩展,以解释非贝叶斯行为,赌博集团和更一般的概率解释。

项目成果

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Joseph Kadane其他文献

Joseph Kadane的其他文献

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{{ truncateString('Joseph Kadane', 18)}}的其他基金

Case Studies in Bayesian Statistics and Machine Learning Workshop Conference Travel; October 2009, Pittsburgh, PA
贝叶斯统计和机器学习研讨会会议旅行案例研究;
  • 批准号:
    0939609
  • 财政年份:
    2009
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant
Symposium on Case Studies in Bayesian Statistics
贝叶斯统计案例研究研讨会
  • 批准号:
    0711142
  • 财政年份:
    2007
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant
Mathematical Sciences: Bayesian Inference and Computing
数学科学:贝叶斯推理与计算
  • 批准号:
    9303557
  • 财政年份:
    1993
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Continuing Grant
Comparing Divergent Views: The Sacco-Vanzetti Case: Phase II
比较不同的观点:萨科-凡泽蒂案:第二阶段
  • 批准号:
    9123370
  • 财政年份:
    1992
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant
Mathematical Sciences: Bayesian Inference and Computing
数学科学:贝叶斯推理与计算
  • 批准号:
    9005858
  • 财政年份:
    1990
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Continuing Grant
Comparing Divergent Views: The Sacco-Vanzetti Case
比较不同的观点:萨科-凡泽蒂案
  • 批准号:
    8900025
  • 财政年份:
    1989
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Continuing Grant
Mathematical Sciences: Bayesian Statistical Theory and Methodology
数学科学:贝叶斯统计理论和方法
  • 批准号:
    8701770
  • 财政年份:
    1987
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Continuing Grant
Ethical Issues in the Design of Medical Trials
医学试验设计中的伦理问题
  • 批准号:
    8116810
  • 财政年份:
    1982
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant
Bayesian Prediction From Regression Models
回归模型的贝叶斯预测
  • 批准号:
    7727575
  • 财政年份:
    1978
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant
Bayesian Prediction From Regression Models
回归模型的贝叶斯预测
  • 批准号:
    7603824
  • 财政年份:
    1976
  • 资助金额:
    $ 28.86万
  • 项目类别:
    Standard Grant

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Conference: Theory and Foundations of Statistics in the Era of Big Data
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