Some Problems in Nonparametric Statistics

由于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，新的统计技术正以非凡的速度被引入。 他们中的许多人直接导致新的，非参数的方法来进行数据分析，在那里的概念和欣赏，甚至应用，往往需要复杂和复杂的理论方法。 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。在这种情况下，这笔赠款支持的研究将涉及六个项目，这些项目的潜在应用包括天文学，经济学，工程学，国防，健康科学和图像分析。 这种多样性说明了非参数统计的重要性、潜力和战略意义。 该研究计划将汇集新的理论方法，为开发解决方案，以不同的实际问题的广泛的想法，以及这些属性将带来的智力感知和洞察力。

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.