Mathematical Sciences: Adaptive Sampling

数学科学：自适应采样

• 批准号: 8705812
• 负责人: Steven Thompson
• 金额: $ 1.65万
• 依托单位: University of Alaska Fairbanks Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-06-15 至 1988-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8705812&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Adaptive; Sampling

This research is to develop the theory and methodology of adaptive sampling designs. The proposed approach involves a combination of theoretical development to determine optimal adaptive designs and computer simulation to compare practical adaptive designs with non adaptive ones. Taking advantage of the conditional mean square error structure of the population, design-induced unbiasedness is proposed to provide robustness against possible departures from assumptions about populations. Simulated sampling of cluster point process realizations is proposed to examine one important class of adaptive designs. This research is in the subfield of experimental design, in the general area of statistics. The goal is to utilize the information in an experiment more efficiently by developing the theory of designing experiments so that experimental units may be sampled from a population according to rules that may depend sequentially on observations of previously selected units. Significant progress in this direction has the long term potential for revolutionizing the practice of scientific experimentation and providing for more efficient use of our national research and development funds.

本研究的目的是发展 自适应抽样设计 建议的方法涉及一个 结合理论发展确定最优 自适应设计和计算机模拟比较实际 自适应设计与非自适应设计。 利用了 总体的条件均方误差结构， 提出了设计诱导无偏性以提供鲁棒性 与人口假设的可能偏差进行对比。 群集点过程实现的模拟采样是 建议检查一类重要的自适应设计。 本研究属于实验设计领域， 一般统计领域。 目标是利用 实验中的信息更有效地通过开发 设计实验的理论，以便实验单元可以 根据可能取决于 按顺序对先前选择的单元进行观察。 在这方面取得重大进展具有长远意义 科学实践革命化的潜力 实验和提供更有效地利用我们的 国家研究和发展基金。