Some Problems in Nonparametric Statistics

非参数统计中的一些问题

• 批准号: 0604698
• 负责人: Peter Hall
• 金额: $ 34.5万
• 依托单位: University of California-Davis
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-07-01 至 2010-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0604698&HistoricalAwards=false
• 关键词: Some; Problems; Nonparametric; Statistics

ABSTRACTMotivated by today's extraordinary opportunities for computer-intensive statistical analysis, and by the myriad new problems that new data types pose, new statistical techniques are being introduced at an extraordinary pace. Many of them lead directly to novel, nonparametric approaches to data analysis, where the conception and appreciation, and even the applications, often demand sophisticated and complex theoretical methods. The new, nonparametric techniques involve minimal structural assumptions and use the data in highly adaptive ways.In this context, the research supported by this grant will address six projects, motivated by potential applications to astronomy, economics, engineering, defence, health science and image analysis. This diversity illustrates the substantial importance and potential, and strategic significance, of nonparametric statistics. The research program will draw together new theoretical methods, a wide range of ideas for developing solutions to diverse practical problems, and the intellectual perception and insight that these attributes will bring.

摘要 在当今计算机密集型统计分析的非凡机遇以及新数据类型带来的无数新问题的推动下，新的统计技术正在以惊人的速度被引入。 其中许多直接导致了新颖的、非参数的数据分析方法，其中的概念和理解，甚至应用，往往需要复杂的理论方法。 新的非参数技术涉及最小的结构假设，并以高度适应性的方式使用数据。在这种背景下，这笔赠款支持的研究将涉及六个项目，其动机是天文学、经济学、工程、国防、健康科学和图像分析的潜在应用。 这种多样性说明了非参数统计的巨大重要性和潜力以及战略意义。 该研究计划将汇集新的理论方法、为各种实际问题制定解决方案的广泛想法，以及这些属性将带来的智力感知和洞察力。