Mathematical Sciences: Resampling and Other Inference in Statistics

这项研究旨在进一步了解，并 改进现有方法， 统计估计和假设检验问题。 这些 问题包括非参数估计和检验， 回归分析，以及调查和空间数据的分析。 要使用的主要工具属于数据类别 愤怒 主要技术包括渐近展开， 组合分析、概率论和数值计算 计算的 统计学领域的这项研究应用了新的 数学和计算工具来扩展现有的理论。 评估结果应能使联合国系统更有效地利用资源。 今后规划和分析统计数据 实验和抽样调查。

This research aims to further the understanding of, and to improve upon, the existing methodology for some important problems of statistical estimation and hypothesis testing. These problems encompass nonparametric estimation and testing, regression analysis, and the analysis of survey and spatial data. The main tools to be used fall under the category of data resampling. The chief techniques involve asymptotic expansion, combinatoric analysis, probability theory, and numerical computing. This research in the field of statistics applies new mathematical and computational tools to expand existing theory. The results should allow more efficient use of resources in the future planning of and analysis of data from statistical experiments and sample surveys.