Mathematical Sciences: Graphical Aids for Statistical Model Building

本研究将集中在静态和动态的发展， 动态图形工具，以帮助从 统计模型 这项工作的主要方法之一是 显示的二维投影轮廓的一个 多个参数的函数。 这种方法是作为一种 非线性回归中推理技术，但它可以 应用于任何统计模型，其中目标函数， 例如可能性或后验密度，与 参数 该项目属于一般统计领域， 计算数学 图形建模具有 在化学工程、药代动力学、食品中的应用 科学、聚合物科学和化学动力学。

This research will focus on the development of static and dynamic graphical tools to aid in making inferences from statistical models. One of the primary methods for this work is the display of two-dimensional projections of contours of a function of many parameters. This method was introduced as a technique for inference in nonlinear regression but it can be applied to any statistical model where an objective function, such as a likelihood or posterior density, is associated with the parameters. This project is in the general area of statistics and computational mathematics. The graphical modeling has application in chemical engineering, pharmacokinetics, food science, polymer science and chemical kinetics.