Mathematical Sciences: Adaptive Sampling

数学科学：自适应采样

• 批准号: 9305877
• 负责人: Steven Thompson
• 金额: $ 6万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-05-15 至 1996-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9305877&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Adaptive; Sampling

Adaptive sampling designs are designs in which the procedure for selecting the units to include in the sample may depend on observed values of the variable of interest. In previous research supported by NSF grants DMS-8705812 and DMS-9016708, the methodology of adaptive sampling was advanced to the point where now there are a number of practical adaptive designs, giving remarkably high efficiencies for sampling rare, clumped, or aggregated populations compared to conventional designs of equivalent sample size. Theoretical results suggest, however, that greater potential still exists. It is proposed to further develop the basic theory of adaptive sampling and look for new classes of adaptive sampling designs. Adaptive sampling designs are designs in which the procedure for selecting the units or sites to include in the sample depends on observations made during the survey. For example, in a survey to estimate the abundance of a rare animal species, additional observations may be made in the vicinity of sites with high observed abundance. In a survey of an environmental pollutant, additional observations may be made in the vicinity of discovered ``hot spots.'' For such surveys, adaptive sampling designs can provide estimates of far greater precision than can be obtained with conventional designs of equivalent sampling effort. Research is proposed to develop the theory and methods of adaptive sampling. The proposed research has immediate, important applications to many fields, including environmental, ecological, and natural resource studies.

自适应抽样设计是这样的设计， 用于选择要包括在样本中的单元可以取决于 关注变量的观察值。 前几 由NSF资助的赠款DMS-8705812和DMS-9016708， 自适应采样方法已经发展到 现在有许多实用的自适应设计， 非常高的采样效率罕见，丛生，或 与传统设计相比， 等效样本量。 然而，理论结果表明， 还有更大的潜力。 拟进一步 发展自适应采样的基本理论，寻找新的 自适应抽样设计类。 自适应抽样设计是这样的设计， 选择样本中包含的单位或地点取决于 在调查过程中提出的意见。 例如，在一项调查中， 为了估计稀有动物物种的丰度， 可以在高海拔地区附近进行观测。 观察到的丰富。 在一项环境污染物调查中， 可以在发现的附近进行额外的观察。 热点。对于这样的调查，自适应抽样设计可以 提供的估计比我们能得到的精确得多 与传统的等效采样工作量的设计相比。 研究提出了发展的理论和方法， 自适应采样拟议的研究立即， 重要的应用到许多领域，包括环境， 生态和自然资源研究。