Mathematical Sciences: Foundations and Methods of Inference

9410138 Halloran该职业发展奖为数学统计和生物统计领域的研究提供支持，重点是对统计推断的理解和发展，并将其应用于疾病分析。特别强调的是决定或推理，测试或估计，使用先验信息，推理的位置和性质以及抽样程序的敏感性。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，如自举法，探索后验分布和似然函数，马尔可夫链蒙特卡罗算法将探讨。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研究中的统计方法，是数学科学中一个重要和高度发达的组成部分。该项目将继续努力研究疾病传播和疫苗评价设计。＊＊＊

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. ***