Mathematical Sciences: Optimality Properties of Inference Procedures

数学科学：推理过程的最优性

• 批准号: 8822622
• 负责人: Arthur Cohen
• 金额: $ 17.88万
• 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: 1989
• 资助国家: 美国
• 起止时间: 1989-05-01 至 1991-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8822622&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Optimality; Properties; Inference

Optimality of inference procedures as well as new methodology in statistics are to be studied. The problem areas include (1) unbiasedness and monotonicity of power functions of tests; (2) inference in curved exponential families; (3) analysis of incomplete block designs; (4) variable selection techniques; (5) extensions of James-Stein results to non-normal cases; (6) extension of James-Stein results to non-quadratic losses.

将研究推理程序的最佳性以及统计学中的新方法。问题领域包括：(1)检验的幂函数的无偏性和单调性；(2)曲线指数族的推断；(3)不完全区组设计的分析；(4)变量选择技巧；(5)James-Stein结果在非正态情况下的推广；(6)James-Stein结果在非二次损失下的推广。