Mathematical Sciences: Random Walks, Non-Asymptotic Approximations, and Asymptotic Likelihood Theory

数学科学：随机游走、非渐近近似和渐近似然理论

• 批准号: 9204333
• 负责人: Marjorie Hahn
• 金额: $ 3.86万
• 依托单位: Tufts University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-06-01 至 1994-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9204333&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Random; Walks; Non

The principal investigator will support graduate students working on problems in the theory of random walk and in asymptotic likelihood theory. One problem will be to find a relationship between the size of the largest step of a random walk and the recurrence of the random walk. Another will be to try to extend the asymptotic likelihood theory of Hoffman- Jorgensen to nonparametric and semiparametric problems. This award provides support for graduate students. The award will help develop the infrastructure of basic mathematical research in the area of statistics and probability.

首席研究员将支持研究随机漫步理论和渐近似然理论问题的研究生。一个问题将是找到随机漫步的最大步长和随机漫步的重复之间的关系。另一个是将Hoffman- Jorgensen的渐近似然理论推广到非参数和半参数问题。该奖项为研究生提供支持。该奖项将有助于发展统计和概率领域基础数学研究的基础设施。