Mathematical Sciences: Multi-Dimensional Statistical Analysis

数学科学：多维统计分析

• 批准号: 9002502
• 负责人: Ingram Olkin
• 金额: $ 28.63万
• 依托单位: Stanford University
• 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 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9002502&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Multi; Dimensional; Statistical

This research project concerns multi-dimensional statistical analysis. The project supports work in multivariate distributions and, in particular, theoretical considerations, dependency properties, orderings and approximations of multivariate distributions, extensions of univariate distributions to higher dimensions, nonparametric families and families with marginals as parameters This research is in the general area of statistics. Multi- dimensional statistical analysis has many applications including Urn models which are used to model the contagion process, and shock models used in the context of reliability theory.

本研究项目涉及多维统计分析。该项目支持多变量分布的工作，特别是理论考虑，依赖性质，多变量分布的排序和近似，单变量分布向高维的扩展，非参数族和以边际为参数的族本研究属于统计学的一般领域。多维统计分析有许多应用，包括用来模拟传染过程的Urn模型，以及在可靠性理论背景下使用的冲击模型。