Mathematical Sciences: Improved Inference Procedures

数学科学：改进的推理过程

• 批准号: 9023172
• 负责人: Arthur Cohen
• 金额: $ 17.2万
• 依托单位: Rutgers University New Brunswick
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1995-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9023172&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Improved; Inference; Procedures

The construction of appropriate estimators is complicated when data are sampled according to complex rules, or when multiple measurements with different inherent biases are available. This research will develop estimation procedures for certain of these cases. Then their statistical properties will be investigated when sampling is multistage, or when estimates are obtained by combining biased and unbiased estimators. Constructions of admissible estimators for spherically symmetric families will also be sought using extensions of James-Stein procedures.

当根据复杂的规则对数据进行采样时，或者当具有不同固有偏差的多个测量值可用时，适当估计器的构造是复杂的。这项研究将为其中某些情况制定评估程序。然后，当抽样是多阶段抽样时，或者当有偏估计和无偏估计组合得到估计时，将研究它们的统计性质。还将使用James-Stein过程的扩展来寻求球对称族的可容许估计的构造。