广义离散偏差在试验设计中的应用研究

项目名称： 广义离散偏差在试验设计中的应用研究

项目编号： No.11271147

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 覃红

作者单位： 华中师范大学

项目金额： 60万元

中文摘要： 偏差已成功地应用于试验设计中，其中均匀设计就是一种基于偏差的计算机试验和模型未知的稳健试验，它被广泛地用于国防、农业、工业、高技术创新等领域中的具体实验，已取得了显著的经济效益和社会效益。本项目里，我们将在已有的工作基础上，深入研究基于广义离散偏差的均匀设计、渐近贝叶斯设计的统计合理性，研究混水平均匀设计的构造方法，并将所构造出的均匀设计应用到计算机试验等实际问题中去。因此，本项目的研究不仅会进一步丰富均匀设计、渐近贝叶斯设计的理论和方法，而且还可以为偏差在试验设计中应用寻找到新的途径。

中文关键词： 均匀设计；联合设计；拓展设计；偏差；下界

英文摘要： Discrepancy has been successfully applied in the experimental design. Based on discrepancy, the uniform design has been proposed, which is one kind of computer experiments and a robust experiment under model uncertainty. Uniform designs have been used into practical experiments in defence, agriculture and industry, and have made significant economic and social benefits. In this project, on the basis of our existing work, we will further study some issue on generalized discrete discrepancy, such as the statistical justification for uniform designs and asymptotic Bayesian deigns in terms of generalized discrete discrepancy, methods to construct uniform designs with mixed levels, applications of constructed uniform designs in computer experiments, and so on. Our aim is to enrich the theory and method of uniform design and asymptotic Bayesian design, and to find some new applying ways of discrepancy in the experimental design.

英文关键词： Uniform Design；Combined design；Extended design；Discrepancy；Lower bound