Mathematical Sciences: Probabilistic Inequalities

数学科学：概率不等式

• 批准号: 8701691
• 负责人: Theodore Hill
• 金额: $ 3.37万
• 依托单位: Georgia Tech Research Corporation - GA Tech Research Institute
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701691&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Probabilistic; Inequalities

The principal investigator will carry out research on a variety of topics related to probability theory, many involving probabilistic inequalities. These topics include optimal stopping as in prophet inequalities and order selection, partitioning of fair-division inequalities, ranges of vector measures, first-digit implications of perception of randomness, and decision processes and gambling theory. These problems have practical applications within areas of mathematical decision- making such as operations research, management science and statistics, as well as theoretical application in classical probability, measure and function theory.

首席研究员将对一项 与概率论相关的各种主题，许多涉及 概率不等式 这些主题包括最佳 停止预言不平等和秩序选择， 公平分割不等式的分割，向量的值域 测量，感知随机性的第一位数含义， 决策过程和赌博理论。 这些问题 数学决策领域的实际应用- 例如运筹学、管理科学和 统计学，以及经典的理论应用 概率论、测度论和函数论