Mathematical Sciences: The Application of the Stepwise BayesTechnique to Some Statistical Questions

数学科学：逐步贝叶斯技术在一些统计问题中的应用

• 批准号: 8902580
• 负责人: Glen Meeden
• 金额: $ 1.71万
• 依托单位: University of Minnesota-Twin Cities
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-08-01 至 1991-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8902580&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Application; Stepwise; BayesTechnique

The close relationship between the admissibility of an estimator and its Bayesness with respect to some (possibly improper) prior distribution will be studied in the finite population sampling situation. A Bayesian interpretation of classical procedures such as the maximum likelihood estimator will be provided for samples from finite populations. The stepwise Bayes technique will be used to provide a noninformative Bayesian justification for procedures in finite population sampling which reflect the statistician's prior beliefs that members of the population which are close together are more alike than those which are far apart.

证据的可受理性与 估计量及其关于某些（可能） 不适当的）先验分布将在有限的 人口抽样情况。 贝叶斯理论对 最大似然估计等经典方法 将提供有限人群的样本。的 逐步贝叶斯技术将用于提供一个非信息 有限人群中手术的贝叶斯理由 反映统计学家先前信念的抽样， 人口中靠得近的成员更相似 而不是那些相距遥远的人。