Mathematical Sciences: Several Questions in Probability Theory

数学科学：概率论中的几个问题

• 批准号: 8901267
• 负责人: Theodore Hill
• 金额: $ 7.74万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-07-01 至 1992-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8901267&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Several; Questions; Probability

The principal investigator will carry out research on a variety of topics related to the mathematical theory of probability. These topics include probabilistic partitioning problems (fair-division problems), optimal stopping theory (especially order-selection problems, prophet inequalities, and secretary problems), and ranges of vector probabilities. Such problems have potential application within operations research, management science, and statistical decision theory, as well as application to classical probability, measure and integration theory, and function theory.

首席研究员将对一项 各种各样的主题有关的数学理论 概率 这些主题包括概率划分 问题（公平分配问题），最优停止理论 （特别是顺序选择问题，先知不平等， 秘书问题）和向量概率的范围。 等 问题在运筹学中有潜在的应用， 管理科学，统计决策理论，以及 经典概率、测度和积分的应用 理论和功能理论。