Mathematical Sciences: Foundations and Methods of Inference

小行星9410138 该职业发展奖为数理统计和生物统计领域的研究提供支持，专注于理解和发展统计推断，特别是应用于疾病分析。 特别强调的是决定或推断，测试或估计，使用先验信息，位置和性质的推断和抽样程序的敏感性。 发展涉及统计计算的技能将在这项活动中发挥重要作用。 方法，如引导，探索后验分布和似然函数，马尔可夫链蒙特卡罗算法将进行探讨。 其中一些研究将在明尼苏达大学进行，那里正在开发贝叶斯和经验贝叶斯推理方法的方法和应用。 因果推理分析中的统计方法，特别是在传染病传播和疫苗有效性的研究中，是数学科学的一个重要和高度发展的组成部分。 该项目将继续在疾病传播研究和疫苗评估设计方面做出努力。 ***

9410138 Halloran This career advancement award provides support for research in the areas of mathematical statistics and bio-statistics, concentrating on the understanding and development of statistical inference with particular applications to the analysis of diseases. Particular emphasis is on decision or inference, on testing or estimation, the use of prior information, location and nature of inference and sensitivity of sampling procedure. Development of skill involving statistical computing will play a major role in this activity. Methods such as bootstrap, exploration of posterior distributions and likelihood functions, Markov Chain Monte Carlo algorithms will be explored. Some of these studies will take place at the University of Minnesota where methods and applications of Bayes and empirical Bayesian methods of inference are being developed. Statistical methods in the analysis of causal inference, especially in studies of spread of infectious diseases and effectiveness of vaccines is an important and highly developed component of the mathematical sciences. This project will continue this effort in the study of disease transmission and designs for vaccine evaluation. ***