Mathematical Sciences: Abstract Gambling Theory Bayesian Statistics and Probability

建议在三个相关领域进行研究。 校长 研究人员在该领域拥有长期的杰出研究记录 抽象赌博理论 在这个项目中，他将 研究离散和离散的某些基本问题 连续赌博理论，如可数加性理论， 可测量性 要考虑的具体赌博问题是 最小化贝叶斯框架中的预期目标时间。 第二个项目将探讨连贯性的关系 贝叶斯可容许推理理论的推论 统计，并将开发一个家庭的听话的先验与 所需的属性。 最后一个项目涉及最佳 停止及其与抽象赌博理论的关系。

Research is proposed in three related areas. The principal investigator has a long record of distinguished research in the area of abstract gambling theory. In this project he will investigate certain fundamental problems of both discrete and continuous gambling theory such as countably additive theory and measurability. Specific gambling problem to be considered is of minimizing the expected time to goal in a Bayesian framework. The second project will explore the relationship of coherent inference to the theory of admissible inference in Bayesian statistics and will develop a family of tractable priors with required properties. The last project deals with optimal stopping and its relation with abstract gambling theory.