Mathematical Sciences: Bounded Influence, High Efficiency, High Breakdown Estimation and Testing Procedures

数学科学：有限影响、高效率、高故障估计和测试程序

• 批准号: 9008846
• 负责人: Marianthi Markatou
• 金额: $ 1.5万
• 依托单位: University of Iowa
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1992-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9008846&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Bounded; Influence; Efficiency

Inferential procedures will be developed for the problem of subhypothesis testing in a linear model. The procedures will be characterized by (i) local stability, i.e. their influence function will be bounded, (ii) global stability, i.e. their breakdown point and breakdown slopes will be nonzero, and (iii) improved efficiency over existing robust procedures. Testing procedures based on estimators that are more efficient than the Krasker-Welsch will be developed and investigated. The test procedures will be characterized according to their geometrical properties and the possibility of constructing confidence intervals will be explored.

推理程序将被开发的问题， 线性模型中的子假设检验。 所有必要的手续 （一）局部稳定性，即其影响 函数将是有界的，（ii）全局稳定性，即它们的 崩溃点和崩溃斜率将为非零，以及（iii） 与现有的稳健程序相比，提高了效率。测试 基于估计器的程序比 将开发和研究Krasker-Welsch。测试 程序将根据其几何特征来描述 属性和构建置信度的可能性 间隔将被探索。