Mathematical Sciences: A Study of Nonparametric Curve Estimators

数学科学：非参数曲线估计器的研究

• 批准号: 9121555
• 负责人: Joan Staniswalis
• 金额: $ 4.65万
• 依托单位: University of Texas at El Paso
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-09-01 至 1993-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9121555&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Study; Nonparametric; Curve

The overall thrust of the research is to provide a nonparmetric alternative to current parametric approaches used in response surface methodology. The nonparametric methodology is based on kernel estimators. A test will be developed for the validity of the general additive model against a nonparametric alternative. In the case of a semiparametric model which models which models the deterministic part of the relationship between a response variable and several covariates, some covariates will be included in a parametric portion and the remaining covariates in a nonparametric portion. Then a test will be developed for the validity of the postulated semiparametric model against a nonparametric alternative. In choosing bandwidths for kernel estimates of a regression function, an analysis and method for choosing the optimal number of points to leave out of a cross validation type procedure will be developed assuming a pilot estimate of the unknown regression function is given.

这项研究的主要目的是提供一个 非参数替代目前使用的参数方法， 响应面法 非参数方法是 基于核估计器。 将制定一项测试， 一般加性模型对非参数模型的有效性 替代. 在半参数模型中， 它模拟了 响应变量和几个协变量，一些协变量将 包括在参数部分中，其余协变量 非参数部分。 然后，将开发一个测试， 假设的半参数模型对 非参数替代 在为内核选择带宽时， 回归函数的估计、分析和方法 选择最佳的交叉点数目 将制定验证型程序，假设有一个试点 给出了未知回归函数的估计。