Mathematical Sciences: Dual Geometries and Their Applicationto Generalized Linear Models

数学科学：对偶几何及其在广义线性模型中的应用

• 批准号: 8803584
• 负责人: Paul Vos
• 金额: $ 2.91万
• 依托单位: University of Oregon Eugene
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-06-01 至 1990-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8803584&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dual; Geometries; Their

This research will develop a geometric structure for generalized linear models by extending the Euclidean geometry used to study the normal linear model. This geometric approach will be used to study estimation algorithms, influence, and the local properties of generalized linear models. A geometric alternative to strings will be sought. This research uses geometry to study the statistics of linear models in which the common assumption of normality has been generalized. Geometric techniques promise to be helpful in synthesizing the properties and behavior of estimates under these generalized assumptions.

本研究将扩展欧几里得几何用于研究正态线性模型，以发展广义线性模型的几何结构。这种几何方法将用于研究估计算法、影响和广义线性模型的局部性质。将寻求一种几何替代弦。本研究使用几何方法来研究线性模型的统计，其中一般的正态性假设已经普遍化。几何技术有望有助于综合这些广义假设下估计的性质和行为。