Mathematical Sciences: Exponents and Symmetries of Operator-Stable Laws

数学科学：算子稳定定律的指数和对称性

• 批准号: 8923068
• 负责人: Mark Meerschaert
• 金额: $ 1.19万
• 依托单位: Albion College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-01 至 1991-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8923068&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Exponents; Symmetries; Operator

The principal investigator studies limit theorems for independent, identically distributed random vectors. In particular he will focus on the more tractable case of operator- stable random vectors. He plans to characterize associated symmetry groups of operator-stable laws. Limit theorems for sums of independent random variables are the foundation of mathematical statistics. In more than one dimension the corresponding analysis focuses on limit theorems for sums of independent random vectors. The principal investigator will investigate the specific case of the operator- stable class of probability laws.

首席研究员研究独立的、同分布的随机向量的极限定理。特别是，他将专注于更容易处理的算子稳定随机向量的情况。他计划刻画算子稳定律的相关对称群。独立随机变量和的极限定理是数理统计的基础。在多维情形下，相应的分析集中在独立随机向量之和的极限定理上。首席调查员将研究概率律中算子稳定类的具体情况。