Mathematical Sciences: Foundations and Methods of Inference

9410138 Halloran这一职业发展奖为数理统计和生物统计领域的研究提供支持，集中于对统计推断的理解和发展，以及在疾病分析中的具体应用。特别强调决策或推理、检验或估计、先验信息的使用、推断的位置和性质以及抽样程序的敏感性。发展与统计计算有关的技能将在这项活动中发挥重要作用。将探索Bootstrap、后验分布和似然函数探索、马尔可夫链蒙特卡罗算法等方法。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和应用。统计方法用于因果推断的分析，特别是在传染病传播和疫苗效力的研究中，是数学科学的一个重要和高度发达的组成部分。该项目将在疾病传播研究和疫苗评估设计方面继续这一努力。***

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. ***