Mathematical Sciences: Some Problems in Nonparametric Function Estimation

数学科学：非参数函数估计中的一些问题

• 批准号: 9024879
• 负责人: Randall Eubank
• 金额: $ 5.94万
• 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: 1991
• 资助国家: 美国
• 起止时间: 1991-06-01 至 1993-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9024879&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Some; Problems; Nonparametric

Nonparametric function estimation is the representation of "noisy" data by a satisfactory smooth function without having to make restrictive assumptions about the function beforehand. The solution lies between artistically connecting all the data points and inadvertently smoothing out salient features of the data. This research will investigate possible definitions of the appropriate balance point between these extremes. Since many functions which differ only slightly may all appear to be satisfactory, definitions of boundaries for "satisfactory function" will also be sought. In addition, corrective techniques will be devised for technical problems with estimation using data near the boundaries of the observable (observed) values.

非参数函数估计是通过令人满意的平滑函数表示“嘈杂”数据的表示，而不必事先对函数做出限制性假设。 该解决方案在于艺术连接所有数据点和无意间平滑数据的显着特征之间。 这项研究将研究这些极端之间适当平衡点的可能定义。 由于许多仅略有不同的功能似乎都令人满意，因此还将寻求“满意功能”边界的定义。 此外，将设计矫正技术，用于使用可观察到（观察到的）值附近的数据进行估计的技术问题。