International Postdoctoral Fellows: Optimal Design for Nonlinear Regression

9403367 O‘Brien该奖项是根据国际初级研究员和博士后研究员计划颁发的，该计划使美国科学家和工程师能够在国外公认的卓越研究中心进行为期3至12个月的研究。该项目的奖项提供了联合研究的机会，并提供了使用国外独特或互补的设施、专业知识和实验条件的机会。该奖项将资助华盛顿州立大学的Timothy E.O‘Brien博士进行为期七个月的博士后研究访问，与奥格斯堡毛皮数学大学的Friedrich Pukelsheim教授合作，研究非线性回归模型的最佳设计。本研究将围绕几个具体问题展开。首先，理论框架的发展将帮助研究人员在可用于非线性模型的设计程序中进行选择。第二，扩展现有的二阶和贝叶斯设计方法，以适应许多研究人员面临的多响应和/或分区非线性模型。第三，提高了非线性模型的复合设计程序，使研究人员即使在不确定应该使用哪种模型的情况下也能获得最佳设计。除了加强对统计学的理论理解外，这项工作的结果还将为其他领域的科学家提供完成研究的有效工具。***

9403367 O'Brien This award is under the International Junior Investigator and Postdoctoral Fellows Program, which enables U.S. scientists and engineers to conduct three to twelve months of research abroad at research centers of proven excellence. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award will support a seven-month postdoctoral research visit by Dr. Timothy E. O'Brien of Washington State University to work with Professor Dr. Friedrich Pukelsheim at the Institut fur Mathematik der Universitat Augsburg on optimal design for nonlinear regression models. This research will focus on several specific problems. First, development of a theoretical framework will help researchers select among design procedures available for nonlinear models. Second, extension of existing second- order and Bayesian design procedures to accommodate the multi-response and/or compartmental nonlinear models that face many researchers. Third, elevation of compound design procedures for nonlinear models so that researchers can obtain optimal designs even when they are unsure which model they should use. In addition to enhancing the theoretical understanding of statistics, the results of this work will furnish scientists in other fields with efficient tools to accomplish their research. ***