Mathematical Sciences: Probability Theory in Infinite Dimensional Spaces with Applications

数学科学：无限维空间中的概率论及其应用

• 批准号: 9000132
• 负责人: Joel Zinn
• 金额: $ 2.96万
• 依托单位: Texas A&M Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1991-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9000132&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Probability; Theory; Infinite

The principal investigator will continue his research in probability in infinite dimensional spaces, particularly on convergence of empirical processes indexed over general classes of functions and their applications in statistics. He will consider uniform and universal classes of functions for different limit theorems, the parametric and the non-parametric bootstrap, U-processes and differentiable functionals with the general aim of increasing the applicability of modern empirical process theory. He will also continue to study the characterization and limit theory of max infinitely divisible and max stable processes, and random sets.

首席研究员将继续他的研究 无限维空间中的概率，特别是 一般类上指标经验过程的收敛性 函数及其在统计中的应用。 他将 考虑函数的统一和通用类， 不同的极限定理，参数和非参数 bootstrap，U-过程和可微泛函， 增加现代经验的适用性的总目标 过程理论 他还将继续研究 极大无穷可分的刻画与极限理论 最大稳定过程和随机集。