Cluster sets for a generalized law of the iterated logarithm in Banach spaces

• 成果类型: Article
• 署名作者: Einmahl, U; Kuelbs, J
• 署名单位: Universite Libre de Bruxelles; University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2001
• 页码: 1451-1475
• 关键词: lil sequence

摘要

We identify the possible cluster sets for a general law of the iterated logarithm in the Banach space setting, and show that all the possible limit sets arise as cluster sets for some random vector in an arbitrary separable Banach space. This extends previous results obtained in finite dimensional Euclidean spaces.