Mathematical Sciences: Optimal Design of Experiments and Mixture Estimation

Studden和Coster教授将致力于解决与 统计实验的最优设计，估计 混合分布和密度估计。 设计问题 将在多项式，样条和有理函数中考虑 回归模型 解决涉及多方面的问题 将寻求优化设计的客观方法。 估计 关于几何分布的混合的问题也将 沿着考虑使用样条的一些密度估计 玉米粒 本研究属于统计实验领域 设计旨在为实验科学家提供 优化资源利用的战略， 提高科学家正确解读 实验观察，从而加快速度， 科学进步。

Professors Studden and Coster will work on problems related to the optimal design of statistical experiments, the estimation of mixture distributions and density estimation. Design problems will be considered in polynomial, spline, and rational function regression models. Solutions to problems involving multi- objective methods for optimal designs will be sought. Estimation problems concerning mixtures of geometric distributions will also be considered along with some density estimation using spline kernels. This research is in the area of statistical experimental design which aims to provide experimental scientists with strategies that will optimize their utilization of resources, improve scientists' chances of correctly interpreting experimental observations, and thereby speed the rate of scientific progress.